Magnetic Imaging in the Presence of an External Field: Erasure Process of Thin Film Recording Medium R. D. Gomez, I.D. Mayergoyz and E.R. Burke Department of Electrical Engineering, University of Maryland at College Park 20740 and Laboratory for Physical Sciences, College Park, MD 20742 Abstract --- Microscopic magnetic processes occurring in the presence of an external field have been observed with sub 100 nm resolution. Force gradient contours obtained at progressively increasing fields, showed the local evolution of thin film recording patterns while undergoing DC erasure. The images exhibited characteristic changes that can be attributed to the combined effects of probe and sample magnetization reorientation. Probe-induced image variations were first clarified in order to stress the sample-induced contrast variations. The microscopic behavior of the patterns were then directly correlated with the sample's macroscopic state as defined by the location on the magnetization curve. I. INTRODUCTION Recently, the distributions of remanent magnetization structures of a thin film recording medium have been studied while undergoing successive stages of erasure.[1] In this work, we extend those investigations by imaging the actual evolution of the patterns while experiencing an external magnetic field. The goal is to relate the microscopic spatial reordering of the magnetic moments of the medium with the specific points along the magnetization curve. The set-up exposed both the sample and the probe to the same external field. It is then worthwhile to first assess the influence of probe-induced effects on the image quality and distinguish those artifacts from the actual transformations of the sample. We subsequently present and discuss the different stages that the medium has undergone en route to bringing most of its magnetic moments aligned in the direction of the applied field. The results and their discussion are focused principally on a number of key points, namely, (i) the expansion of the bright-contrast domains at the expense of the dark-contrast domains, (ii) the increase in transition edge ripples across the track, (iii) the "re-texturing" of the dark contrast areas, (iv) the coalescence of neighboring expanding domains, which causes (v) the breakup of the unfavorably magnetized regions across the track and (vi) the eventual collapse of the unswitched clusters at the highest fields. The balance of this section is devoted to clarifying these observations. II. EXPERIMENT An electromagnetic element was incorporated in a commercially obtained magnetic force microscope (Digital Instruments Nanoscope III). It was designed to have a small gap which was positioned directly underneath the cantilever probe during scanning. The sample was placed inside this gap region and experienced an external magnetic field which was assumed to be oriented primarily along the surface plane and aligned in the direction of the recorded tracks. The average strength of the external field was calibrated against Manuscript received February 17, 1995. the input current by using a miniature Hall probe and could reach as high as 3000 Oe. Care has been taken to ensure that no appreciable Joule heating occurred and that the fluctuations in the applied field was kept to a minimum. Space limitations in this paper preclude extensive discussion of the design but will be furnished elsewhere. The sample was prepared from a conventional removable rigid disk whose characteristics have previously been studied.[1] Standard magnetization curves were measured using a vibrating sample magnetometer and the following macroscopic properties were obtained: Hc = 926 Oe, Mr= 5.0 memu/cm2, S = 0.81, S*=0.86, and the in-plane orientation ratio Mr(parallel)/Mr(perpendicular)~1.5. In addition, the medium exhibited positive inter-particle interaction. The present data consisted of nearly 100 images taken in succession, each of which is associated to a fixed external field. III. RESULTS AND DISCUSSION Fig. 1 shows the sequence as the magnetic moments experienced a progressively stronger external field. The M-H loop for this medium is shown at the center. Since only the average gap field could be measured with the Hall probe, a separate determination of the local field at the scan location was done by assigning the coercive field to the image which showed roughly 50% switching of the dark contrast areas. The rest of the images were then identified relative to this and their positions were labeled on this loop. The narrow strips of alternating bright and dark contrasts in (A) mark the locations of the transition regions joining two magnetized areas in either head-to-head or tail-to-tail configurations. With slight application of an external field the contrast in the interior regions of the patterns intensified as shown in (B) and the contrast was no longer confined to the transition regions but broadened to resemble the magnetization distribution. Since a field of 100 Oe was too low for this medium to exhibit perturbations, this transformation can be regarded solely as a manifestation of probe-induced effects. This can be understood by considering an arbitrarily oriented probe. The contrast mechanism of the magnetic force microscope, neglecting probe-sample electrostatic forces, is given by,[2] 2 Hi F' mi z2 (1) where F' is the change in force gradient and m i and Hi are the Cartesian components of the probe magnetization and the surface field, respectively. Prior to imaging, the probe was exposed to a 3.5 kOe magnet which aligned its magnetization normal to the sample surface direction. Thus, without any external field, the probe had selected this component of the Fig. 1. Microscopic pattern evolution correlated with its magnetization state. MFM images of a specific 65 x 65 m2 area on a thin film recording medium under the action of an increasing DC magnetic field. field. Image (A) ostensibly exhibits the locations of the free magnetic poles at the transition regions, i.e., the z component of the surface field. Upon applying a field, the probe magnetization has reoriented toward the new direction and has lead to a non-zero mx term in (1). Hence in (B), the contrast had broadened as a consequence of an increased Hx contribution. At larger fields, we therefore anticipate that the probe would be increasingly diverted along the xdirection and this will simply result in an enhanced sensitivity to the horizontal field component. The horizontal component of the surface field more or less mimics the lateral spread of the field producing component of the magnetization,[3] so that this apparent drawback offers the advantage in interpreting the images as that of the local magnetization distribution. It is worthwhile to point out that while the external field forces imaging sensitivity to a specific component, application of a uniform field across the entire scan area will not introduce extraneous local effects. Hence, with judicious design, one may be able to adapt the MFM as a component selective imaging tool.[4] Similarly, by constraining the probe magnetization in a rigidly fixed orientation, one can avoid the complications of a changing probe in image interpretation. This approach is ideally suited in cases where the sample magnetization is orthogonal to the applied field and has a high anisotropy field, or when the coercivity of the sample along the applied field is much higher than that of the probe. The latter condition is true in the present case. The bright areas in these images correspond to the magnetization parallel and oriented favorably with the applied field. The overall high frequency background noise has not been suppressed in order to provide a qualitative sense on instrumental limits. Under these conditions, the relative texture of the bright and dark areas in (B) are very similar to each other. This means that the surface magnetization was equally saturated in one direction as it was in the other. The transition region which separated opposite magnetized regions were more or less straight with the exception of slight spatial variations across the track. These edge ripples arose from the combined effects of background noise as well as the intrinsic zigzag and localized vortex formations at the transition region that tend to minimize the magnetostatic energy.[5] As the field was increased, no discernible effects on the sample have been observed, consistent with the M-H loop which shows that the magnetization was little changed from its saturation value for small external fields. At 696 Oe, however, changes in the patterns became apparent. The subtle expansion of the bright areas and the distinctive roughening of the transition region signify the initial stages of magnetization reversal. The increase in transition edge irregularity suggests that the leading edges of the favorably magnetized ripples, in response to the applied field, have extended into areas previously magnetized in the opposite direction. Direct comparison of the bit lengths in images (B) and (D) confirms that transition roughening intensified and that the bright regions have extended by an average of about 1 m, accompanied by a corresponding remission of the dark contrast areas. In addition to these, the interiors of the dark areas have significantly coarsened at 865 Oe in comparison with the relatively unchanged interiors of the bright areas. This strongly suggests that the magnetization reduction at the unfavorable areas were accomplished by means of the local reorientation of magnetic moments, not only in the transition areas but over their entire regions. This is in qualitative agreement with the results of micromagnetic simulations at various states along the hysteresis loop [6] and where the observed roughening may be attributable to the formation of a large number of vortex structures. Within instrumental limits, the local redistribution did not appear completely random which would have produced uncorrelated patches on the surface. Instead, there seemed to be a tendency to form somewhat triangular microstructures in the interior regions that extended up to the transition regions. Finally, within this range of applied field, we found evidence that moments at the track edges similarly switch in the direction of the field. This can be perceived as the slight widening of the nonmagnetized portions which separate the tracks between the images (B) and (D). This implies the relative ease by which the cross track magnetization components were reoriented by an average angle of 90o.[4,7] These in turn, facilitated the early reorientation of adjacent interior moments due to positive exchange interaction. The overall result was an apparent shortening of the track width. As the field approached coercivity, adjacent growing domains have begun to break-through the entire length of the unfavorable domains. Localized areas, where large neighboring transition ripples edge ripples have coalesced, caused the breakup of the unfavorably magnetized areas.[6,8] This can be seen at 866 Oe where light-intensity streaks appear in most of the short-bit-length dark contrast areas. In sections where this occurred, the brightness intensity at the transition region has been diminished. This is a consequence of the disappearance of free magnetic charges at the transition regions when neighboring identically magnetized ripples combine. At 926 Oe, the streaks have similarly appeared on the wider dark areas and have considerably expanded laterally in some locations. We note however, that as soon as this manner of magnetization reversal occurred, the average location of the transition boundaries have remained stationary. In other words, the average length of the patterns, neglecting the broken-through areas, had stopped contracting. This implies that the system found a new channel to reverse magnetic moments that was energetically more favorable than the displacement of transition boundary. This mechanism prevailed for fields at and above the coercivity. Starting at 865 Oe, magnetization reversal had occurred predominantly by the widening of the streaks along the cross track direction. By 1027 Oe, most parts have been reoriented in the direction of the field, with the exception of isolated remnants of unswitched clusters. These pinned areas persisted tenaciously and required fields significantly higher than coercivity to completely switch them. The terminal distribution of these remaining clusters appear to be uncorrelated with their previous patterns and their random distribution may have reflected the local fluctuations in the magnetic properties of the medium. CONCLUSIONS The capability to produce magnetic force microscopy images under the action of an external magnetic field has been realized and has been applied to study the fielddependent progress of magnetization reversal of thin film media. Characteristic image alterations introduced by probe effects were observed at very low fields and were explained on the basis of the probe's magnetization reorientation. The intermediate steps leading to full medium saturation were determined by following the evolution of the patterns starting from the initial displacement of the transition boundary and terminating by the switching of isolated clusters. These observations help elucidate the nature of magnetization reversal in granular systems. 1. R.D. Gomez, L. Lising, R. Madabhushi, E.R. Burke and I.D. Mayergoyz, J. Mag. Mgn. Mat. in press.; Conf. Digest Intermag '94, Albuquerque, NM 2. H.J. Mamin, D. Rugar, J.E. Stern, B.D. Terris and S.E. Lambert, "Force Microscopy of Magnetization Patterns in Longitudinal Recording Media", Appl. Phys. Lett. Vol. 73, pp. 1564, October 1988. 3 D. Rugar, H.J. Mamin, P. Guethner, S.E. Lambert, J.E. Stern, I. McFadyen and T. Yogi, "Magnetic force microscopy: General principles and application to longitudinal recording media", J. Appl. Phys. Vol. 68, pp. 1169-11-83, Aug. 1990. 4. R.D. Gomez, "Component-resolved imaging of the surface magnetic fields", J. Appl. Phys. Vol. 75, pp. 5910-5912, May 1994. 5. H.N. Bertram, Theory of Magnetic Recording, Cambridge: Cambridge University Press, pp. 207 1994 and references therein. 6 J.G. Zhu and H.N. Bertram, "Micromagnetic studies of thin metallic films", J. Appl. Phys., Vol. 63, pp.3248-3253, April 1988. 7 J.L. Su and K. Ju, "Track Edge Phenomena in Thin Film Longitudinal Media", IEEE Trans. Mag., Vol. 25, pp.3384-3386, Sept. 1989. 8. J.J. Miles and B.K. Middleton, "The Effect of Trackwidth on Transition Noise in Longitudinal thin-film media", J. Mag. Mag. Mat.. Vol. 120, pp. 376, 1993.