We present measurements of the angular dependence of the irreversible magnetization of YBa 2 Cu 3 O 7 single crystals with columnar defects inclined with respect to the c axis. At high fields a sharp maximum centered at the tracks direction is observed. At low fields we identify a lock-in phase characterized by an angleindependent pinning strength and observe an angular shift of the peak towards the c axis that originates in the misalignment between vortices and applied field in anisotropic materials. The interplay among columnar defects, twins, and intrinsic pinning by the ab planes generates a variety of staircase structures. We show that correlated pinning dominates for all orientations of the applied field. ͓S0163-1829͑99͒09417-5͔A difficult aspect of the study of vortex dynamics in hightemperature superconductors in the presence of correlated disorder is the determination of flux structures for applied fields tilted with respect to the pinning potential. As threedimensional vortex configurations cannot be directly observed, our knowledge is mostly based on the analysis of the angular dependence of magnetization, susceptibility, or transport data. [1][2][3][4][5][6][7][8][9][10][11] According to theoretical models, 12,13 when the angle between the applied field H and the defects is smaller than the lock-in angle L vortices remain locked into the defects thus producing a transverse Meissner effect. For tilt angles larger than L and smaller than a trapping angle T , vortices form staircases with segments pinned into different defects and connected by unpinned or weakly pinned kinks. Beyond T , vortices will be straight and take the direction of the applied field, thus being unaffected by the correlated nature of the pinning. In principle, this picture should apply with minor differences to twins, columnar defects, and intrinsic pinning. 13 Many experiments have confirmed the directional pinning due to columnar defects, twins, and Cu-O planes. 1-11 Evidence for a locked-in phase arises from the observation of the transverse Meissner effect, 10 but a quantitative determination of L (H,T) for columnar defects had not been done until now. The introduction of columnar defects inclined with respect to the crystallographic axis has been used 1,6-8,10,11 to discriminate their pinning effects from those due to twin boundaries, and from anisotropy effects. However, the vortex staircase configurations resulting from the combined effect of the various correlated structures had not yet been explored in detail.In this work we report studies of the vortex pinning in YBa 2 Cu 3 O 7 crystals with inclined columnar defects, for the whole range of field orientations. This allows us to determine the misalignment between the applied and internal fields due to anisotropy, as well as to identify the angular range of influence of each correlated pinning structure. We present the first determination of the lock-in angle of tracks using irreversible magnetization.The crystal used in this study was grown by the self-flux method, 14 and ...
We use ac susceptibility measurements to explore the dynamic response of vortices in YBCO single crystals pinned by aligned columnar defects at low dc fields. Using a combination of techniques for the analysis of the data, we investigate the vortex motion as a function of the amplitude and frequency of the applied ac field h ac , identifying the influence of both intra-and inter-valley motion. We build up a dynamic diagram in the h acT plane indicating the crossover lines among several regimes in the solid phase. At low h ac , a linear response with very low dissipation arises from the oscillation of pinned vortices inside the tracks ͑Campbell regime͒. At high h ac a critical state develops. The large influence of thermal fluctuations in this limit is indicated by the frequency dependence, which allows us to obtain the current density dependence of the activation energy and the glassy exponent. We also discuss the origin of the large nonlinear transition regime observed at intermediate amplitudes. ͓S0163-1829͑99͒02613-2͔
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