Supplemental Material 1 2 Tunnel Junction Enhanced Nanowire Ultraviolet Light Emitting Diodes 3 ATM Golam Sarwar, Brelon J May, Julia I Deitz, Tyler J Grassman, David W McComb, and 4 Roberto C Myers. 5 Growth optimization of nanowire tunnel junction for LED integration: 6 In this study, n-type (Si doped) GaN nanowires are nucleated on n-Si wafer at 730C for 5 minutes. After 7 the nucleation step, the growth temperature is increased to 790 C and 100 nm of GaN is deposited. A 15 8 nm n++ GaN layer is grown at a reduced growth rate using shutter pulsing method. The substrate 9 temperature is then reduced to 600 C and a nominally 4 nm In0.25Ga0.75N quantum well is deposited 10 followed by a 2.5 nm p++ GaN layer. After that the substrate temperature is increased to 790 C following 11 a temperature protocol (as described in Table S1) and a doubly graded polarization doped UV LED 12 heterostructure is grown. 13 Table S1: Substrate temperature protocol for UV LED heterostructure Sample Description TJ_A Following the p++ GaN, graded AlxGa1-xN is grown from x=0 to x=0.4 at 600C. After that the substrate temperature is increased to 790C with a ramp rate of 25C/min. TJ_B Following the p++ GaN, substrate temperature is increased immediately with 25C/min. The substrate temperature reached the target temperature when 20% (~20 nm) of the ptype graded layer is completed. TJ_C Following the p++ GaN, substrate temperature is increased immediately with 50C/min. The substrate temperature reached the target temperature when 10% (~10 nm) of the ptype graded layer is completed. TJ_D Following the p++ GaN, we stop the growth and increase the substrate temperature with a ramp of 50C/min. When the substrate temperature reaches the set point of 790C, we start the growth of p-type graded layer. 14 15 16 Fig. S1: Integrated EL (a) and relative EQE (b) as a function of input current for TJ LED devices with 17 different method described in Table S1. The results for the LEDs without TJ is also shown for 18 comparison. 19 The integrated EL vs current from all the devices are shown in Fig. S1(a). It is clearly evident that the 20 temperature increase method has a dramatic effect on the performance of TJ integrated nanowire LEDs. 21 The growth of low temperature (600C) graded AlGaN layer (TJ_A) shows order of magnitude less EL. 22 This could be due to two factors. 1) AlGaN material quality degradation at low growth temperatures and 23 large Mg incorporation at low temperature. 2) Low temperature growth increases the diameter of the 24 nanowires due to suppressed adatom mobility. Which can cause less strain accommodation in the 25 nanowire and can lead to the formation of non-radiative recombination centers in the form of strain 26 induced defects. We see substantial increase in EL from the TJ LEDs when the temperature of the graded 27 layer is increased immediately after the p++ GaN layer and observe best performance when the complete 28 graded AlGaN layer is grown at high temperature. 29 Fig S1(b) shows the relative EQE vs current in these devices. The TJ_A device shows no efficiency droop 30 in the measured rage, i.e the peak EQE shifts toward very high currents and poses extremely low value. 31 This happens when Shockley–Read–Hall (SRH) recombination increases and can be attributed to the 32 strain induced defects as discussed earlier. For the TJ_B, TJ_C, and TJ_D devices we observe an increase 33 in the relative EQE peak value and the peak EQE occurs at low currents. This indicates lower SRH 34 recombination in these LEDs and attributed to the effective strain accommodation in these nanowire 35 LEDs as well as lower Mg incorporation in the AlGaN region at elevated growth temperature. The peak 36 efficiency of TJ_B and TJ_C LEDs are equal or higher compared to LEDs without TJ. The efficiency 37 droop in these LEDs are 14% and 18% (green and blue curves), respectively at 18 mA (180 A/cm2) and 38 much lower than the 66% (black curve) efficiency droop in LEDs without TJ. 39 Structural characterization of TJ integrated nanowire UVLEDs: 40 Fig. S2 shows the high angle annular dark field scanning transmission electron microscopy (HAADF- 41 STEM) image and energy dispersive X-ray spectroscopy (EDXS) chemical composition (In, Ga, and Al) 42 maps. We observe only Ga signal from the base of the nanowires, which corresponds to the n-type GaN 43 base grown before the TJ. Localized In signal in the form of a disk is observed after the GaN base which 44 confirms the existence of InGaN TJ in our nanowire samples. Following the InGaN disk, the Ga signal 45 decreases, reaches a minimum and then increases while the Al signal increases, reaches maximum and 46 then decreases. This confirms the back and forth composition grading in the polarization doped AlGaN 47 regions. Three AlGaN disks separated by AlN barriers are also confirmed in the EDXS composition 48 maps. STEM work was performed using an aberration (image) corrected FEI Titan 60-300 operated at 49 300kV. The probe size, convergence angle and HAADF inner collection angle were 0.134nm, 13.2mrad 50 and 45mrad, respectively. The instrument is fitted with a quadrant (SuperX) EDX detector with a solid 51 angle of 0.9 srad. EDX acquisitions, approximately five minutes per spectrum image, were quantified 52 using the Bruker Esprit software employing calculated k-factors. 53 54 Fig. S2: HAADF STEM image and EDXS chemical composition maps of TJ integrated nanowire 55 UVLEDs. Scale bar is 50 nm. 56 Possible EQE limits in nanowire LEDs 57 Surface recombination: The increased surface area in nanowires can act as a non-radiative 58 recombination site. The carriers from the n- and p- side can be injected to the nanowire sidewalls 59 instead of the active region and non-radiatively recombine. The surface recombination is 60 minimized, to some extent, due to the spontaneous formation of core-shell structure. However, 61 the surface recombination might still be a dominant factor in these nanowire LED devices. It was 62 previously reported in nanowire visible LEDs that a thicker shell layer can decrease the surface 63 recombination rate and dramatically increase the performance [1]. 64 Auger recombination: Previous studies in visible nanowire LEDs have shown that Auger 65 recombination coefficients in nanowires are very small [2], [3] compared to its planar 66 counterpart. However, an equivalent study in nanowire UV LEDs is not yet reported. Usually 67 Auger recombination in higher bandgap (UV) quantum wells is expected to be more dominant 68 than in lower bandgap (visible) quantum wells [4]. 69 Nanowire size deviation: The deviation in nanowire diameter can also affect the overall 70 efficiency. Due to variation in the diameter and coalescence of several nanowires, some 71 nanowire sites might possess a lower resistive path compared to the majority of the nanowires. In 72 the ensemble measurements reported here, many nanowire LEDs are operated in parallel. It is 73 possible that only a small number of nanowires are conducting a large portion of the current, 74 operate at very high current densities, and emit a substantial amount of light; while most of the 75 nanowires with relatively higher resistive paths conduct a smaller amount of current individually 76 but large current as a whole due to their dominant number. The later kind of nanowires operate at 77 extremely low current densities and emit no light. In effect these nanowires act as a conduction 78 path but do not contribute toward the emission of ensemble LED devices thus causing low EQE 79 values. 80 Leakage due to shell region: The thin Al rich spontaneous shell may also cause a parallel leakage 81 path. The injected carriers from n- and p-side can bypass the active region and conduct through 82 the high composition AlGaN shell as the injection regions of both n- and p-side are made of AlN. 83 Thus these bypassed carriers, although contributing to the conduction current, do not contribute 84 to the emission. 85 References: 86 87 88 89 90 91 92 93 94 [1] H. P. T. Nguyen, S. Zhang, A. T. Connie, M. G. Kibria, Q. Wang, I. Shih, and Z. Mi, “Breaking the Carrier Injection Bottleneck of Phosphor-Free Nanowire White LightEmitting Diodes,” Nano Lett., vol. 13, no. 11, pp. 5437–5442, Nov. 2013. [2] W. Guo, M. Zhang, P. Bhattacharya, and J. Heo, “Auger Recombination in III-Nitride Nanowires and Its Effect on Nanowire Light-Emitting Diode Characteristics,” Nano Lett., vol. 11, no. 4, pp. 1434–1438, Apr. 2011. [3] H. P. T. Nguyen, K. Cui, S. Zhang, M. Djavid, A. Korinek, G. A. Botton, and Z. 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