2842 IEEE TRANSACTIONS ON ELECTRON DEVICES, VOL. 48, NO. 12, DECEMBER 2001 Low Field Electron and Hole Mobility of SOI Transistors Fabricated on Ultrathin Silicon Films for Deep Submicrometer Technology Application David Esseni, Marco Mastrapasqua, Member, IEEE, George K. Celler, Member, IEEE, Claudio Fiegna, Member, IEEE, Luca Selmi, and Enrico Sangiorgi, Member, IEEE Abstract—In this paper, we present a comprehensive experimental characterization of electron and hole effective mobility ( e ) of ultrathin SOI n- and p-MOSFETs. Measurements have been performed at different temperatures using a special test structure able to circumvent parasitic resistance effects. Our results indicate that, at large inversion densities ( inv ), the mobility of ultrathin SOI transistors is largely insensitive to silicon thickness ( SI ) and is larger than in heavily doped bulk MOS because of a lower effective field. At small inv , instead, mobility of SOI transistors exhibits a systematic reduction with decreasing SI . The possible explanation for this e degradation in extremely thin silicon layers is discussed by means of a comparison to previously published experimental data and theoretical calculations. Our analysis suggests a significant role is played by an enhancement of phonon scattering due to carrier confinement in the thinnest semiconductor films. The experimental mobility data have then been used to study the possible implications for ultrashort SOI transistor performance using numerical simulations. Index Terms—Mobility, SOI MOSFETs, SOI performance, ultrathin silicon films. I. INTRODUCTION B ESIDES the well-known advantages of SOI MOSFETs in terms of radiation tolerance, latchup immunity, and reduced source/drain capacitances, ultrathin SOI transistors have recently raised considerable interest for their application below the 0.1- m technology node because of their scalability [1], [2]. has In fact, the reduction of the silicon layer thickness been proved very effective for the suppression of short-channel effects (SCEs) [3]–[5] and can thus represent a valid alternative to the increase of the substrate doping normally employed in is scaled down to bulk devices [6]–[8]. In particular, when approximately 5 nm, devices with a channel length of about 40 nm have already been demonstrated using essentially undoped silicon layers [9], [10]. Furthermore, it has been recently pointed Manuscript received May 29, 2001; revised July 30, 2001. This work was supported in part by the Italian MURST (PRIN program). D. Esseni, L. Selmi, and E. Sangiorgi are with the DIEGM, University of Udine, Udine 33100, Italy. The review of this paper was arranged by Editor T. Skotnickz. M. Mastrapasqua and G. K. Celler are with the Agere Systems, Murray Hill, NJ 07974 USA. C. Fiegna is with the Department of Electrical Engineering, University of Ferrara, Ferrara 44100, Italy. Publisher Item Identifier S 0018-9383(01)10095-X. out that an adequate scaling of the buried oxide thickness of SOI transistors is also important in order to control SCE [11] and to reduce the threshold voltage fluctuations due to possible variations [12], [13]. In bulk devices with substrate doping concentrations exceeding 10 cm , as required below the 0.1- m technology is an appreciable node [14], the depletion charge density fraction of the total charge in the semiconductor even at large . Consequently, significantly inversion densities experienced contributes to increase the effective field by the carriers in the inversion layer [15]. Since mobility is a , especially at high strongly decreasing function of values where it is essentially limited by surface roughness scatthrough an tering [16], then large substrate dopings reduce [16], [15], besides the obvious degradation increase of caused by ionized-impurity scattering which is observed at low [16]. For a given inversion density, ultrathin fully depleted SOI dethan highly doped vices can realize significantly smaller bulk MOSFETs, thus leveraging possible benefits on low field , in turn, are known to be very important for mobility. Large the current drivability of deep submicrometer devices. In fact, numerical simulation revealed that a high mobility is essential to design MOS transistors where the carrier velocity along the channel can remarkably exceed the bulk-silicon saturation value [17], [18], thus pushing the device toward its maximum current drivability which is eventually limited by the ballistic transport regime [19]–[22]. nm electron Until now, however, while for in SOI transistors was shown to have an essentially universal, bulk-like behavior as a function of a properly defined effective below approximately 10 nm the experfield [23], [24], for imental data are not fully consistent [25], [26]. In particular, degradation [25] raising some authors observed a drastic legitimate questions on possible mechanisms that might inherin these extremely thin silicon films. In addiently degrade tion, to our best knowledge, no hole mobility measurements in ultrathin SOI MOSFETs have been reported yet. In this paper, we extend the preliminary results presented in measurements [27] and report accurate hole and electron on SOI transistors for silicon thicknesses down to 5 nm and for temperatures between 225 K and 375 K. Our results show that is largely insensitive to and, at high inversion densities, , is remarkably larger than heavily doped bulk for a given 0018–9383/00$10.00 © 2001 IEEE ESSENI et al.: LOW FIELD ELECTRON AND HOLE MOBILITY 2843 transistors. At relatively low inversion densities, instead, a more dependence is observed and is reduced for pronounced at a given . decreasing On the basis of a comparison with previously published experimental and theoretical results, we discuss the physical origin dependence on and emphasize the possible effect of this of phonon scattering modulation due to the spacial confinement of carriers in the silicon layer. The threshold voltage dependence confirms that the silicon thickness affects the electronic on structure of the inversion layer. Finally, we use two-dimensional (2-D) numerical simulations to estimate whether or not the high mobility of SOI devices at can bring about an appreciable improvement of curlarge rent drivability over conventional bulk-MOS transistors. II. DEVICE FABRICATION AND SILICON THICKNESS DETERMINATION Device processing started with Unibond SOI wafers produced by the Smart Cut Process and featuring a 200-nm (100) Si film nm. The over a buried oxide whose thickness was silicon film was then thinned down to 9, 13, 20, and 60 nm nominal thicknesses through a series of oxidations at 1000 C followed by etching of the sacrificial oxide. Typical thickness confor the thinnest trol was 1.5 nm that is about 25% variation of SOI, still acceptable for our study because, as explained below, individually on the same transiswe were able to determine tors that were used for mobility measurements. Local oxidation (LOCOS) tailored to consume the entire Si film provided lateral isolation. After LOCOS, simplified processing of n-MOS and p-MOS devices was adopted. The transistor channel is a p-type film that was left essentially undoped with a resulting resistivity of 10 -cm corresponding to a doping concentration cm . The energy of the source/drain implants was values to make sure the depth of adjusted to the different the maximum doping concentration is within the silicon film. No LDD extensions were used and the formation of the spacers was also skipped. The oxide thickness at the front-gate was nm. Fig. 1 is a high-resolution TEM micrograph of a cross section under the gate for the thinnest Si film. An accurate determination of the silicon thickness is a mandatory step for this study which is intended to investigate the de. In particular, since a range of final pendence of mobility on values was found within each wafer because of the thinning process, the characterization technique described in [28] on the same was employed to extract an electrical value for devices which are then used for mobility measurements. extraction procedure is based on capacitance-voltage The ) characteristics, as illustrated in Fig. 2(a). The ( channel-to-gate capacitance is measured versus the front-gate with a large, positive voltage applied to the voltage which induces an inversion layer at the back back-gate interface. is low enough to switch off the inversion layer at When the front-interface [below approximately 0.5 V in Fig. 2(a)], then the front-gate can modulate the charge at the back-interface through the series capacitance given by the front-gate oxide and Fig. 1. High-resolution TEM micrograph of a cross section of a device with minimum T value. Oxide and silicon film thickness is indicated. 0 Fig. 2. (a) C V measurements for large back-gate voltages V used to extract an electrical T according to [28]. The relation used to determine T from the low V constant capacitance values at low V is also indicated. (b) Correlation between electrical and ellipsometric T values. Filled symbols are n-MOS and open symbols p-MOS devices. A very good correlation between the two T determinations was found. the silicon film. The value of can thus be easily extracted from the corresponding, nearly constant region of the characteristics. The silicon thicknesses indicated in Fig. 2(a) are the electrical estimates obtained following the above procedure. Fig. 2(b) illustrates the comparison between the electrical values and the ellipsometric measurements performed after silicon thinning but before device processing. A very good corredeterminations was found for lation between the different 2844 IEEE TRANSACTIONS ON ELECTRON DEVICES, VOL. 48, NO. 12, DECEMBER 2001 Fig. 3. Schematic top view of the MOSFETs used for measurements. V and V were measured at the voltage probes and used to determine the independent of possible series exact intrinsic drain to source voltage V resistances. Geometrical dimensions are in micrometers. both n- and p-MOSFETs. The constant offset indicating larger ellipsometric than electrical values is consistent with the further thinning produced by device processing. In the remainder of this paper we will always refer to the obtained by measurements. electrical value of III. MOBILITY MEASUREMENTS Since no elevated source/drain structures were employed in the device processing, the resulting MOS transistors fabricated on the thinnest silicon films exhibit quite large series resistances that could affect the extracted mobility values. In order to circumvent this difficulty, all mobility measurements were performed on the specially designed MOS structures shown in Fig. 3. The structure is symmetrical with respect to the channel length direction and two pairs of voltage probes and within the channel so that we esallow us to measure sentially performed four-probe measurements of the transistor conductance. In fact, we determined the intrinsic drain to source voltage as (1) and then calculated the intrinsic conductance as . During all these measurements the external ) was adjusted to maintain mV. We verified that conductance measurements are not affected by either switching the two voltage probes or by contacting both determination is pairs at once. It is apparent that this inherently unaffected by possible series resistances. Once the conductance is known, mobility can be readily calculated as (2) are the device length and width, respectively, where and while the inversion density is determined directly through gatemeasurements at a frequency of 5 kHz, that we channel verified to be low enough to avoid the possible influence of channel resistance on the measured capacitance [29], [16]. Fig. 4. Measured room temperature electron mobility versus inversion charge for different T . A comparison with previously published data density N for bulk transistors [16] is illustrated. IV. ULTRATHIN SOI MOSFETS MOBILITY Fig. 4 shows electron obtained from our measurements for different silicon thicknesses and compared with previously published bulk MOSFETs data [16]. Mobility has been reported as a function of the inversion denbecause, in order to obtain MOSFETs with high cursity rent drivability, it is particularly important to realize devices that values at large inversion charges [21]. Hence, offer high from a practical viewpoint, it is appropriate to compare different . designs of the MOS transistor for the same Furthermore, it is worth noting that the density of the depletion charge in the fully depleted SOI devices of this work is negrange ligible compared to the inversion density in the entire of practical interest (i.e., above approximately 10 cm ). In fact, the low doping concentration on the silicon film (10 cm ) leads to of approximately and cm for and nm, respectively. Consequently, for in the range of Fig. 4, SOI transistors with different a given have essentially the same and they also have virtually as the lightly doped bulk MOSFETs of Fig. 4 the same cm for cm where [16]. The comparison of Fig. 4 shows that at high inversion densiis largely independent of and consistent with lightly ties doped bulk MOSFETs. Furthermore, as a result of a lower for a given , SOI devices offer a remarkable mobility improvement with respect to heavily doped bulk MOSFETs. At , instead, the two SOI devices with the relatively small values very close to those of thickest silicon films exhibit lightly doped bulk transistors and essentially independent of , whereas a clear and systematic reduction of is observed values. for the smallest Fig. 5 illustrates the results obtained for hole mobility. A similar qualitative behavior as for electrons is found but a weaker dependence at small inversion densities is observed. V. DISCUSSION In order to gain some physical insight concerning the dependence of the electron mobility, in this section we will ESSENI et al.: LOW FIELD ELECTRON AND HOLE MOBILITY Fig. 5. Measured room temperature hole mobility versus inversion charge for different T . A comparison with previously published data density N for bulk transistors [16] is illustrated. 2845 Fig. 7. Measured room temperature electron mobility versus the effective field E either at the front-interface (open symbols) or at the back-interface (filled symbols) for a SOI transistor with T 9:4 nm. = Fig. 7 shows the front-gate for nm at different (open symbols) versus the effective field that was calculated as [25], [30] (3) where (4) Fig. 6. Measured room temperature electron mobility versus inversion charge for different T . A comparison with previously published data density N for SOI transistors [25], [26] is illustrated. first compare our mobility data with previously reported experbeimental and theoretical results and then investigate the havior as a function of temperature. A. Comparison With Previous Experimental Data Fig. 6 compares our electron mobility measurements with the data reported in [25] and [26]. For relatively thick silicon layers values are very consistent (for the sake of we found that all around 50 nm are not clarity the data from [25], [26] and below approximately 10 nm the included in Fig. 6), but for degradation that data reported by Choi et al. exhibit a drastic might indicate a poor quality of the silicon film as suggested in values reported by Toriumi et al. are in [25]. Instead, the reduction very close agreement with ours, confirming the at low . with decreasing , it was suggested by As for this mobility dependence on the centroid of the inverToriumi et al. that, since for smaller reduction sion charge gets closer to the back-interface, then could be mainly due to additional scattering mechanisms at this back-interface whose quality could be poorer than the front-interface. In order to assess a possible mobility degradation induced at the by the proximity of the back-interface, we measured and also front-interface for different back-gate voltages at the back-interface. is the oxide field at the back-interface and we have assumed the where and are the simplification front- and back-gate oxide capacitances, respectively. is the flat-band voltage at the back-gate and all other symbols in (3) and (4) have their standard meaning. We verified that the value calculated with (3) is in very close agreement with the average electric field in the inversion layer weighted over the carrier concentration that is obtained by numerical simulations with a coupled Schrödinger-Poisson solver [31]. As can be seen in Fig. 7, the data obtained for different lay essentially on the same curve even if negative values tend to push the centroid of the inversion layer farther from the back-interface. These results on the one hand argue against an important role of additional scatterings caused by the proximity of the back-interface in our devices, on the other hand indicate the effective field is still a physically meanthat for a given ingful concept also in ultrathin SOI transistors. Fig. 7 also reports the mobility extracted when the inversion layer is induced at the back-interface (filled symbols) for two different values of the front-gate voltage. The determination of the inversion charge and hence mobility for these bias conditions corresponding to a back-interface conduction can be carried out by means of an experimental procedure that will be more thoroughly explained elsewhere. The effective field was obtained by means of numerical simulations accounting for poly-depletion and subband quantization in the silicon film [31], because the presence of the thin front-gate oxide makes it questionable the application of a simple expression as in (3). As can of the back-interface is essentially the same be seen, the as the front-gate mobility thus demonstrating that the quality of the thermally grown back-interface produced by a Smart-Cut 2846 IEEE TRANSACTIONS ON ELECTRON DEVICES, VOL. 48, NO. 12, DECEMBER 2001 Fig. 8. Measured room temperature electron mobility versus inversion charge compared with the results of numerical simulations reported in density N [34]. process is comparable to that of the front-interface fabricated during a standard device processing. Similar front- and back-interface mobility measurements per-nm devices led to very similar results formed for the confirming that in our devices there is no clear evidence of a degradation caused by the interaction of carriers significant with the back-interface. B. Modulation of Phonon-Scattering and Mobility Temperature Dependence Besides possible nonidealities of either the silicon film or the with decreasing is also back-interface, a reduction of expected because a narrower confinement of the carriers in the space, real space implies a delocalization in the reciprocal which increases phonon scattering. This effect has been originally elucidated for phonon scattering in quantum wells [32], [33] and recently discussed by several authors for SOI MOS transistors [34]–[37]. Furthermore, it is exactly the same physical mechanism responsible for the dependence of phonon limited mobility in bulk MOSFETs [38]. Fig. 8 compares our experimental data with numerical simuand nm. In these simlations reported in [34] for reduction for decreasing at small is ulations, the due exclusively to the above mentioned enhancement of phonon scattering due to spacial confinement. The experimental mois reduced from 50 to apbility reduction observed when proximately 10 nm is reproduced fairly well by numerical results. has also been investiThe temperature dependence of gated in the range between 225 K and 375 K. Besides the clear practical interest, the analysis of the temperature dependence can also help identify the dominant scattering mechanisms limiting mobility for a given bias condition. Fig. 9(a) shows for nm versus the inversion density and for different values the curves exhibit temperatures. At relatively small an almost rigid vertical shift (in logarithmic scales) indicating variations with around room temperature that the relative . Similar results have been found are nearly independent of values. Fig. 9(b) reports mobility versus also for different showing that, in the studied temperature for Fig. 9. (a) Measured room temperature electron mobility versus inversion charge density N for different temperatures. A fairly rigid shift of the (in logarithmic scales) is observed at low N values. (b) Measured electron mobility versus temperature for different T and for N 2 10 cm . A power law with an exponent of approximately 1.4 is found in the explored temperature range. 0 = 2 temperature range, mobility exhibits a dependence which behavior observed for phonon limited mois close to the bility in bulk MOS transistors [16]. Both the temperature dependence of Fig. 9(b) and the quantitative agreement with numerical simulations illustrated in Fig. 8 suggest that the enhancement of phonon scattering due to cardependence of rier confinement plays a relevant role in the at least for down to approximately 9 nm and around room temperature. On the basis of our data we cannot rule out additional mechanisms for thinner silicon films or for very low temperatures which strongly reduce phonon scattering. Finally, as an additional independent indication that the electronic structure of the inversion layer is affected by the silicon for the thickness, Fig. 10 reports the threshold voltage n-MOS devices as a function of the silicon thickness. In order to of the mobility dependence rule out a possible influence on , in the data of Fig. 10 the threshold voltage was simply on characteristics and it calculated by the integration of the cm . is defined as the gate voltage that induces with decreasing is clearly observed in The increase of reduction with dethese devices because the counteracting caused by the reduction of the depletion charge is creasing negligible when the doping of the silicon layer is as low as 10 ESSENI et al.: LOW FIELD ELECTRON AND HOLE MOBILITY Fig. 10. Measured (symbols) and simulated (dashed lines) threshold voltage (V ) versus silicon thickness for n-MOS transistors. V is defined as the gate voltage inducing an inversion density N = 2 1 10 cm . TABLE I MAIN TECHNOLOGICAL PARAMETERS OF THE SOI AND BULK MOSFETS FEATURING A 70-nm GATE LENGTH. PERFORMANCE IS COMPARED BY MEANS OF 2-D NUMERICAL SIMULATIONS cm [39], [40]. The dependence of is due to the increase of the electron eigenvalues within the extremely thin silicon film as confirmed by the good agreement with the numerical calculations obtained with a Schrödinger-Poisson solver [31]. VI. DEVICE IMPLICATIONS In Section IV, we have experimentally demonstrated that ultrathin SOI transistors can achieve higher mobility than heavily doped bulk devices because the former can realize a lower for a given inversion density. In this section we will try to assess the possible improvements of current drivability due to a higher mobility, in the sub-0.1- m technology range. To this purpose, the intrinsic performance of ultrathin SOI devices with 70-nm gate length has been compared with that of bulk n-MOSFETs by means of hydrodynamic device simulations [41]. The main technological parameters used for the two transistor designs are summarized in Table I. Series resistance effects have been deliberately minimized by assuming ideal contacts extended over the entire source/drain regions with the exception of the under-diffusion below the gate. A midgap Fermi level gate material is assumed for the thin SOI devices in order to achieve the same target threshold voltage as the bulk n-MOSFET used for the comparison. Quantization effects are accounted for with the model of Van Dort et al. [42]. The accuracy of this approach in reproducing the inversion charge of SOI devices was verified comparing simulated to experimental characteristics of the large area transistors used for mobility characterization. degradation at the Si-SiO As for mobility, the model for interface proposed in [43] has been adopted, with slightly modified parameter values in order to improve the fit to the experof heavily doped bulk devices [16] ( imental 2847 Fig. 11. Experimental and simulated effective mobility for highly doped bulk and thin-SOI MOSFETs. Parameter tuning was necessary in order for the mobility model to fit experimental data. The increase of SOI device is indicated. cm ) up to high . Furthermore, in the case of the 5.2-nm SOI device, the low-field maximum mobility was reduced to 1000 cm /Vs to match our experimental results. The results of these empirical adjustments are shown in Fig. 11 illustrating that the experimental mobility increase of SOI devices is quantitatively reproduced by simulations. This simulation approach is believed to provide realistic renm because first-order nonsults for MOSFETs with stationary effects such as carrier heating and velocity overshoot are accounted for. Ballistic effects (occurring when the channel length becomes comparable to or shorter than the electron mean free path) are not accounted for in these simulations. However, this should not cause relevant errors even for the shortest simulated devices. In fact, the calculated velocities reported in the following do not exceed the upper limit set by quasi-equilibrium diffusion from the source in the ballistic regime [19], [22]. The results of our simulations point out that, in order to compare the current drivability of SOI versus bulk structures, the effect of two counteracting factors must be considered. Fig. 12(a) shows the simulated average electron velocity along the channel for the two devices biased at V. The work function of the SOI transistor was adjusted to have the same off current as the bulk device 1 nA/ m for V. As a consequence of different 2-D electric field patterns and different mobilities within the channel, different profiles of average electron velocity are of SOI obtained. In particular, the increased low-field devices leads to a higher electron velocity near the source of the device. The lower velocity in the drain region, instead, is due to smaller maximum longitudinal field at the drain end of the channel. However, the SOI design of the transistor with an essentially undoped silicon film implies that the centroid of the inversion layer is farther from the Si-SiO interface than in the highly doped bulk MOSFET. This electrostatic effect results in a degradation of the control capacitance of the SOI device for a given oxide thickness which is illustrated in Fig. 12(b) and is reduced. becomes progressively more severe when In the case of the 70-nm long device simulated in this work the increase of the electron velocity at the source and the reduced control capacitance tend to cancel out. In fact, when bulk , essentially the and SOI devices are compared at the same (i.e., for V) was same on-current 2848 IEEE TRANSACTIONS ON ELECTRON DEVICES, VOL. 48, NO. 12, DECEMBER 2001 samples the proximity of the back-interface does not play a relevant role in the mobility reduction observed at the smallest . Instead, the comparison with numerical simulations and the experimental temperature dependence indicate that an increased phonon scattering due to spacial confinement in the silicon layer dependence could be an important ingredient to explain the of mobility at least in the explored temperature range and for silicon thicknesses down to approximately 9 nm. improvement of SOI Finally, the possible impact of the devices on the current drivability of 70-nm gate length transistors was discussed by means of 2-D numerical simulations. Within the predictive capabilities of the models used for the , the improved analysis, our results suggest that, for a given mobility and the degraded control capacitance of SOI transistors as tend to compensate leading to approximately the same bulk MOSFETs. ACKNOWLEDGMENT The authors would like to thank F. H. Baumann for providing the TEM micrograph. They also acknowledge the help of the staff of the Murray Hill Silicon Fabrication Research Lab, especially F. Klemens and W. Mansfield. Encouragement and support from S. Hillenius, J.T.C. Lee, C. Rafferty, and M. Banu are also gratefully acknowledged. REFERENCES Fig. 12. (a) Simulated electron average velocity along the channel of thin-SOI and bulk L 70-nm devices biased at V = V = 1:5 V. I is 1 nA/m for both transistors. The velocity increase of SOI device is indicated. (b) Simulated gate to channel capacitance C for large devices corresponding to thin-SOI and bulk technologies. T = 1:5 nm and 3:6 nm are representative of the 70-nm and 180-nm technology nodes. = found, so that, within the predictive capabilities of the model, the current drivability of the two MOSFET designs turned out to be very similar. VII. CONCLUSION In this paper, we have presented an extensive experimental study of electron and hole mobility in ultrathin SOI devices. Our values ranging from approximately measurements span over 50 nm down to 5 nm and over the temperature range of applicative interest between 225 K and 375 K. A special test structure was used to circumvent possible effects of series resistance on . the determination of At large inversion densities both n- and p-type SOI MOSFETs exhibit mobilities which are very similar to those of lightly range. When compared doped bulk transistors in the entire to heavily doped bulk devices suitable for deep submicrometer technologies, ultrathin SOI transistors can lead to a remarkable mobility improvement for a given inversion density because the negligible depletion charge of SOI devices results in a significantly smaller effective field. , a neat, systematic mobility reducAt relatively small is observed. The investigation of the tion with decreasing mobility dependence on the back-gate bias suggests that in our [1] Y. Taur, D. A. Buchanan, W. Chen, D. J. Frank, K. E. Ismail, S.-H. Lo, G. A. Sai-Halasz, R. G. Viswanathan, H. C. Wann, S. J. Wind, and H.-S. Wong, “CMOS scaling into the nanometer regime,” Proc. IEEE, vol. 85, pp. 486–503, Apr. 1997. [2] C.-T. Chuang, P.-F. Lu, and C. J. Anderson, “SOI for digital VLSI: Design consideration and advances,” Proc. IEEE, vol. 86, pp. 689–720, Apr. 1998. [3] M. Yoshimi, H. Hazama, M. Takahashi, S. Kambayashi, T. Wada, K. Kato, and H. Tango, “Two-dimensional simulation and measurement of high-performance MOSFETs made on a very thin SOI film,” IEEE Trans. Electron Devices, vol. 36, pp. 493–503, Mar. 1989. [4] S. Veeraraghavan and J. G. Fossum, “Short-channel effects in SOI MOSFETs,” IEEE Trans. Electron Devices, vol. 36, pp. 522–528, Mar. 1989. [5] T. Tsuchiya, Y. Sato, and M. Tomizawa, “Three mechanisms determining short-channel effects in fully depleted SOI MOSFETs,” IEEE Trans. Electron Devices, vol. 45, pp. 1116–1120, May 1998. [6] R. H. Dennard, F. H. Gaensslen, L. Kuhn, N. Y. Yu, V. L. Ridout, E. Bassous, and A. LeBlanc, “Design of ion-implanted MOSFETs with very small physical dimensions,” IEEE J. Solid State Circuits, vol. SC-9, pp. 256–268, 1974. [7] G. Baccarani, M. R. Wordeman, and R. H. Dennard, “Generalized scaling theory and its application to a 1=4-micrometer MOSFET design,” IEEE Trans. Electron Devices, vol. ED-31, pp. 452–462, 1984. [8] J. R. Brews, “The submicrometer MOSFET,” in High-Speed Semiconductor Devices, S. Sze, Ed. New York: Wiley, 1990, ch. 3. [9] E. Suzuki, K. Ishii, S. Kanemaru, T. Maeda, T. Tsutsumi, T. Sekigawa, K. Nagai, and H. Hiroshima, “Highly suppressed short-channel effects in ultrathin SOI n-MOSFETs,” IEEE Trans. Electron Devices, vol. 47, pp. 354–359, Feb. 2000. [10] M. Jurczak, T. Skotnicki, M. Paoli, B. Tormen, J. Martins, J. L. Regolini, D. Dutartre, P. Ribot, D. Lenoble, R. Pantel, and S. Monfray, “Silicon-on-nothing (SON)—An innovative process for advanced CMOS,” IEEE Trans. Electron Devices, vol. 47, pp. 2179–2187, Nov. 2000. [11] S.-H. Oh, D. Monroe, and J. M. Hergenrother, “Analytic description of short-channel effects in fully depleted double-gate and cylindrical, surrounding-gate MOSFETs,” IEEE Electron Device Lett., vol. 21, pp. 445–447, Nov. 2000. [12] M. J. Sherony, L. T. Su, J. E. Chung, and D. A. Antoniadis, “Reduction of threshold voltage sensitivity in SOI MOSFETs,” IEEE Electron Device Lett., vol. 16, pp. 100–102, Mar. 1995. ESSENI et al.: LOW FIELD ELECTRON AND HOLE MOBILITY 2849 [13] M. Noguchi, T. Numata, Y. Mitani, T. Shino, S. Kawanaka, Y. Oowaki, and A. Toriumi, “Back gate effects on threshold voltage sensitivity to SOI thickness in fully depleted SOI MOSFETs,” IEEE Electron Device Lett., vol. 22, pp. 32–34, Feb. 2001. [14] International Technology Roadmap for Semiconductors:1999, 1999. SEMATECH. [15] A. G. Sabnis and J. T. Clemens, “Characterization of the electron mobility in the inverted 100 Si surface,” in IEDM Tech. Dig., 1979, pp. 18–21. [16] S. Takagi, A. Toriumi, M. Iwase, and H. Tango, “On the universality of inversion-layer mobilty in Si MOSFETs: Part I—Effect of substrate impurity concentration,” IEEE Trans. Electron Devices, vol. 41, pp. 2357–2362, Dec. 1996. [17] G. Baccarani and M. Wordeman, “An investigation of steady-state velocity overshoot in silicon,” Solid State Electron., vol. 28, pp. 407–416, 1985. [18] M. R. Pinto, E. Sangiorgi, and J. Bude, “Silicon MOS transconductance scaling into overshoot regime,” IEEE Electron Device Lett., vol. 14, pp. 375–377, Aug. 1993. [19] K. Natori, “Ballistic metal-oxide-semiconductor field effect transistor,” J. Appl. Phys., vol. 76, no. 8, pp. 4879–4890, 1994. [20] M. Lundstrom, “Elementary scattering theory of the Si MOSFET,” IEEE Electron Device Lett., vol. 18, pp. 361–363, July 1997. [21] G. Timp, J. Bude, K. K. Bourdelle, J. Garno, A. Ghetti, H. Gossmann, M. Green, G. Forsyth, Y. Kim, R. Kleiman, F. Klemens, A. Kornblit, C. Lochstampfor, W. Mansfield, S. Moccio, T. Sorsch, D. M. Tennant, W. Timp, and R. Tung, “The ballistic nano-transistor,” in IEDM Tech. Dig., 1999, p. 55. [22] F. Assad, Z. Ren, D. Vasileska, S. Datta, and M. Lundstrom, “On the performance limits for Si MOSFETs: A theoretical study,” IEEE Trans. Electron Devices, vol. 47, pp. 232–240, Feb. 2000. [23] J. Wang, N. Kistler, J. Woo, and C. R. Viswanathan, “Mobility-field behavior of fully depleted SOI MOSFETs,” IEEE Electron Device Lett., vol. 15, pp. 117–119, Apr. 1994. [24] M. J. Sherony, L. T. Su, J. E. Chung, and D. A. Antoniadis, “SOI MOSFETS effective channel mobility,” IEEE Trans. Electron Devices, vol. 41, pp. 276–278, Feb. 1994. [25] J.-H. Choi, Y.-J. Park, and H.-S. Min, “Electron mobility behavior in extremely thin SOI MOSFETs,” IEEE Electron Device Lett., vol. 16, pp. 527–529, Nov. 1995. [26] A. Toriumi, J. Koga, H. Satake, and A. Ohata, “Performance and reliability concerns of ultrathin SOI and ultrathin gate oxide MOSFETs,” in IEDM Tech. Dig., 1995, pp. 847–850. [27] D. Esseni, M. Mastrapasqua, G. K. Celler, F. H. Baumann, C. Fiegna, L. Selmi, and E. Sangiorgi, “Low field mobility of ultrathin SOI n- and p-MOSFETs: Measurements and implications on the performance of ultrashort MOSFETs,” in IEDM Tech. Dig., 2000, pp. 671–674. [28] J. Chen, R. Solomon, T.-Y. Chan, P.-K. Ko, and C. Hu, “A C V technique for measuring thin SOI film thickness,” IEEE Electron Device Lett., vol. 12, pp. 453–455, Aug. 1991. [29] P. D. Chow and K.-L. Wang, “A new AC technique for accurate determination of channel charge and mobility in very thin gate MOSFETs,” IEEE Trans. Electron Devices, vol. ED-33, pp. 1299–1304, Sept. 1986. [30] B. Mazhari and D. E. Ioannou, “Surface potential at threshold in thin-film SOI MOSFETs,” IEEE Trans. Electron Devices, vol. 40, pp. 1129–1133, June 1993. [31] C. Fiegna and A. Abramo, “Analysis of quantum effects in nonuniformly doped MOS structures,” IEEE Trans. Electron Devices, vol. 45, pp. 877–880, Apr. 1998. [32] P. J. Price, “Two-dimensional transport in semiconcustor layers: Part I—Phonon scattering,” Ann. Phys., vol. 133, pp. 217–233, 1981. [33] B. K. Ridley, “The electron-phonon interaction in quasi-two-dimensional semiconductor quantum-well,” J. Phys. C, Solid State Phys., vol. 15, pp. 5899–5917, 1982. [34] F. Gamiz, J. A. Lopez-Villanueva, J. B. Roldan, J. E. Carceller, and P. Cartujo, “Monte Carlo simulation of electron transoprt properties in extremely thin SOI MOSFETs,” IEEE Trans. Electron Devices, vol. 45, pp. 1122–1126, May 1998. [35] F. Gamiz, J. B. Roldan, J. A. Lopez-Villanueva, P. Cartujo, and J. E. Carceller, “Surface roughness at the Si-SiO interface in fully depleted silicon-on-insulator inversoin layers,” J. Appl. Phys., vol. 86, no. 12, pp. 6854–6863, 1999. [36] S. Takagi, J. Koga, and A. Toriumi, “Mobility enhancement of SOI MOSFETs due to subband modulation in ultrathin SOI films,” Jpn. J. Appl. Phys., vol. 37, pp. 1289–1294, 1999. [37] M. Shoji and S. Horiguchi, “Electronic structures and phonon limited electron mobility of double-gate silicon-on-insulator Si inversion layers,” J. Appl. Phys., vol. 85, no. 5, pp. 2722–2731, 1999. h i 0 [38] T. Ando, A. Fowler, and F. Stern, “Electronic properties of two-dimensional systems,” Rev. Mod. Phys., vol. 54, p. 437, 1982. [39] Y. Omura, S. Horiguchi, M. Tabe, and K. Kishi, “Quantum-mechanical effects on the threshold voltage of ultrathin SOI nMOSFETs,” IEEE Electron Device Lett., vol. 14, pp. 569–571, Dec. 1993. [40] H.-K. Lim and J. G. Fossum, “Threshold voltage of thin-film silicon-oninsulator (SOI) MOSFETs,” IEEE Trans. Electron Devices, vol. ED-30, pp. 1244–1251, 1983. [41] User Manual, ISE A.G., 1999. DESSIS 6.0. [42] M. J. Van Dort, P. H. Woerlee, A. J. Walker, C. A. Juffermans, and H. Lifka, “A simple model for quantization effects in heavily–doped silicon MOSFETs at inversion conditions,” Solid State Electron., vol. 37, p. 411, 1994. [43] M. N. Darwish, J. L. Lentz, M. R. P. M. Zeitzoff, T. J. Krutsick, and H. H. Vuong, “An improved electron and hole mobility model for general purpose device simulation,” IEEE Trans. Electron Devices, vol. 44, pp. 1529–1538, Sept. 1997. David Esseni received the Laurea degree and the Ph.D. degree in electronic engineering from the University of Bologna, Italy, in 1994 and 1998, respectively. In 1999, he became an Assistant Professor at the University of Udine, Italy. During 2000, he was a Visiting Scientist at Bell Labs, Lucent Technologies, Murray Hill, NJ. His research interests include characterization techniques for electrical parameters in MOS devices and several aspects related to hot-electron in MOSFETs and Flash EEPROMs. In particular, he has investigated low voltage and substrate enhanced hot electron phenomena with an emphasis on their practical implications for Flash EEPROM devices. More recently, he was involved in the experimental characterization and modeling of low-field mobility in ultrathin SOI MOSFETs and in the experimental investigation of the physical mechanisms responsible for thin oxides degradation. Marco Mastrapasqua (M’91) received the Doctor of Nuclear Engineering degree (summa cum laude) from the Politecnico di Milano, Milano, Italy, in 1990. In 1990, he worked at the Center for Quantum Electronics and Electronics Instrumentation of the National Research Council, Milano, on silicon single photon detector. From 1991 to 1994, he was consultant and Post-Doctoral member of Technical Staff at AT&T Bell Laboratories, Murray Hill, NJ. During 1995, he was Visiting Scientist, Department of Physics, Eindhoven University of Technology, Eindhoven, The Netherlands. Since 1996, he is Member of Technical Staff, High Speed Electron Device, Agere Systems (formerly Lucent Technologies, Bell Laboratories), Murray Hill. His research interests include SiGe bipolar transistor and novel devices on SOI. George K. Celler (M’86) received the M.Sc. degree from the University of Warsaw, Warsaw, Poland, and the Ph.D. degree in solid state physics from Purdue University, West Lafayette, IN. He is Chief Scientist at SOITEC/USA, Peabody, MA. Before his current assignment, he spent 25 years at Bell Laboratories, Murray Hill, NJ, where he was Distinguished Member of Technical Staff and a Technical Manager. He has investigated interactions of intense light beams with materials, laser annealing and rapid thermal processing of semiconductors, formation of silicon-on-insulator structures and their applications in electronics and MEMS, and also diffusion phenomena in Si and silicon dioxide. Between 1988 and 1996, he lead a large team that was developing advanced lithography for deep submicron applications. He has published over 170 articles, edited five books, and was issued 14 patents. Dr. Celler is a Fellow of the American Physical Society and of The Electrochemical Society, and a member of the Materials Research Society. He received the 1994 Electronics Division Award of The Electrochemical Society, and two Bell Labs President’s Gold Awards (in 1999 and 2000). 2850 Claudio Fiegna (M’99) was born in Bologna, Italy, in 1963. He received the Laurea and Ph.D. degrees in electrical engineering from the University of Bologna. From 1989 to 1992, he was with the Department of Electronics, University of Bologna, working in the field of electron devices. In particular, he has worked on the study and characterization of latchup in CMOS technology, characterization and modeling of hot-electron effects in MOSFETs and Monte Carlo device simulation. From July 1992 to July 1993, he was Visiting Researcher at the Toshiba ULSI Laboratories, Kawasaki, Japan, where he was engaged in the study of ultra-small MOSFETs. In 1994, he was appointed Research Associate at the University of Ferrara, Italy, where he is presently Associate Professor of electronics. Luca Selmi was born in 1961. In 2000, he became Full Professor of electronics at the University of Udine, Italy. During 1989-1990, he was a Visiting Scientist at Hewlett Packard Microwave Technology Division, Santa Rosa, CA. His research interests include characterization and simulation of silicon devices, with emphasis on Monte Carlo transport techniques and hot carrier effects in MOSFETs and nonvolatile memory cells, leakage currents and reliability of ultrathin oxides, device optimization. These activities have been conducted in cooperation with international research centers such as Bell Labs, IBM T. J. Watson Research Center, Philips Research Laboratories, INPG, and LETI Grenoble. He coauthored approximately 90 papers, including 18 IEDM papers. Dr. Selmi was a member of the IEDM technical subcommittee on “Modeling and Simulation” in 1995–1996. Since 2001, he helds the same position in the “Circuit and Interconnect Reliability” subcommittee. IEEE TRANSACTIONS ON ELECTRON DEVICES, VOL. 48, NO. 12, DECEMBER 2001 Enrico Sangiorgi (S’85–M’95) was born in Faenza, Italy, in 1954. He received the Laurea degree in electrical engineering from the University of Bologna, Italy, in 1979. In 1993, he was appointed Full Professor of electronics at the University of Udine, Italy, where he started the Electrical Engineering Program. Since 1985, he has been a Consultant to Bell Laboratories, Lucent Technologies, Murray Hill, NJ, where he has been a Resident Visitor for more than three years. In 1983, 1984, and 1991, he was a Visiting Scientist at the Center for Integrated Systems, Stanford University, Stanford, CA. His research interests include the physics, characterization, modeling, and fabrication of silicon solid-state devices and integrated circuits. In particular, he has been working on several aspects of device scaling, its technological, physical, and functional limits, as well as device reliability for silicon MOS and bipolar transistors. In order to tackle and eventually overcome the hurdles of device scaling, he has devised and developed several original concepts and methods in the characterization and modeling of nanoscale silicon devices. He coauthored 26 IEDM papers and more than 140 papers on journals and refereed conference proceedings. Dr. Sangiorgi has been an Editor of the IEEE ELECTRON DEVICE LETTERS since 1994. He has been a member of the Technical Committees of several International Conferences on Electron Devices: IEDM (1991-1993), ESSDERC, INFOS, etc.