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a Components of the magnetization vector, M T and M L , as a function of the angle for T70 K and H8 kOe. The direction of rotation is such that the conditions Hc,H CD, and H c proceed in that order. b M T vs M L polar graph of the same CW rotation of a full symbols together with the CCW rotation.

a Components of the magnetization vector, M T and M L , as a function of the angle for T70 K and H8 kOe. The direction of rotation is such that the conditions Hc,H CD, and H c proceed in that order. b M T vs M L polar graph of the same CW rotation of a full symbols together with the CCW rotation.

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We have measured the irreversible magnetization (Mi) of an ErBa2Cu3O7-delta single crystal with columnar defects (CD), using a technique based on sample rotation under a fixed magnetic field H. This method is valid for samples whose magnetization vector remains perpendicular to the sample surface over a wide angle range-which is the case for platel...

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... now focus on the high field range, where the crystal is in the mixed state. Figure 2a shows M L () and M T () for a rotation at 70 K and 8 kOe, where the angle independent background due to the holder has already been removed from M L . As the reversible magnetization of the superconductor ( 0 /32 2 2 )ln(H c2 /H)5G is negligible compared to M i , the response is dominated by vortex pinning. ...
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... mixed state. Figure 2a shows M L () and M T () for a rotation at 70 K and 8 kOe, where the angle independent background due to the holder has already been removed from M L . As the reversible magnetization of the superconductor ( 0 /32 2 2 )ln(H c2 /H)5G is negligible compared to M i , the response is dominated by vortex pinning. The curves in Fig. 2a sexhibit a rich structure, due to the combination of crystalline anisotropy, directional vortex pinning and geo- metrical effects. In order to extract useful information from them, we must first establish the relation between M i and the screening current J flowing through the ...
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... simplicity, we will analyze the case of a thin infinite strip of aspect ratio t/W1, that can rotate around its axis, which is perpendicular to H. Let us assume that the strip was originally ZFC at an angle and H was subse- quently applied the initial condition in Fig. 2a. If H is high enough we can consider 8 that a current density of uni- form modulus J c () flows over the whole volume. This J is parallel to the strip axis and it reverses sign at the plane that contains the axis and ...
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... now discuss what happens when the strip is rotated away from this initial state by a small angle . The result will depend on the direction of rotation. If n approaches H this corresponds to the angular ranges 90° to 180° and 270° to 360° in Fig. 2a, the normal component H will in- crease, thus inducing screening currents at the edges of the crystal in the same direction as those already flowing. Vorti- ces will then displace to satisfy the condition JJ c ( ) everywhere. If J c ( )J c () the new distri- bution will be analogous to the initial one, with JJ c ( ) everywhere and the ...
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... sample would rotate rigidly with it, a situation that has indeed been observed. [19][20][21] As we will show below, in the present case we have clear experi- mental evidence that the misorientation between the vortex direction and H due to this lag effect is negligible, so all this complication can be ignored. We now analyze the curves shown in Fig. 2. The measure- ment starts at 30° point A with n rotating away from H. Thus, J initially undergoes a flip until the reversed fully penetrated critical state is formed point B. From here the evolution of the system turns independent of the initial con- ditions and becomes two fold periodic. From point C ( 90°) to point E (180°) the ...
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... Fig. 2a the direction of rotation is such that the con- ditions Hc; HCD and Hc proceed in that order. We de- fine this as a clockwise CW rotation. In contrast, in a coun- terclockwise CCW rotation the alignment occurs when n is moving away from H. The consequences of this difference are described ...
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... Figure 2b the same CW data of Fig. 2a is shown in an M L vs M T polar graph full symbols, together with the CCW rotation under the same conditions open symbols. In both cases the initial behavior until the critical state is fully developed portion A, B in the CW and P, Q in the CCW and the subsequent 180°-periodic evolution in the critical state covering approximately two periods of 180°) are clearly distinguished. ...
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... Figure 2b the same CW data of Fig. 2a is shown in an M L vs M T polar graph full symbols, together with the CCW rotation under the same conditions open symbols. In both cases the initial behavior until the critical state is fully developed portion A, B in the CW and P, Q in the CCW and the subsequent 180°-periodic evolution in the critical state covering approximately two ...
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... the CW and CCW curves in Fig. 2b are simi- lar rotated in 180° with respect to each other they also exhibit some differences. The most obvious one is that the peak at the CD direction dotted line is prominently seen in the CW rotation point D, while in the CCW rotation it is partially suppressed by the flip of M i . The flip starts at Hn, and ends at the angle F where ...
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... values of F are easily obtained from Fig. 3a, where M i is plotted as a function of for the same two sets of data CW and CCW of Fig. 2b. We observe here that the agreement between the CW and CCW data is excellent, thus they can complement each other to eliminate the blind region at low angles. Estimating F 25° for the CW rota- tion and F 30° for the CCW case, and using Eq. 8 we obtain H*370 and 540 Oe, respectively. We can check the consistency of these estimates in ...

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... This is also known as intrinsic pinning, since it immobilizes the vortices independently of impurities (which are extrinsic to the crystal). It was observed mainly in high anisotropy materials (mainly TlBaCuO [69,70,71], BSCO [72], and HgBaCuO [73]), but also in YBa 2 Cu 3 O 7−δ ( [26,49,50,51,52]) and other layered superconductors (for example Nb/Cu multilayers [74], organic superconductors [75], LSCO [76,77,78], and ErBaCuO [79]). YBa 2 Cu 3 O 7−δ is of particular interest for lock-in studies, since its low anisotropy allows one to observe the onset of lock-in far from T c , where critical fluctuations makes the analysis more difficult. ...
Article
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