Commensurate and incommensurate vortex states in superconductors with periodic pinning arrays

C. Reichhardt,C. Olson,F. Nori

Published 1998 in Physical Review B

ABSTRACT

28th matching field! and for a wide range of pinning parameters and system sizes. Our results show that the vortex lattice ~VL! is highly ordered only at certain matching fields ~MF’s ! and can have various orientations with respect to the underlying pinning array. At some MF’s the VL is actually disordered. The enhancements of M(H) are most noticeable for fields less than the second matching field; however, we find some evidence of small enhancements of M(H) for higher fields. Square and triangular arrays produce different sequences of ordered matching fields at which the pinning is enhanced. At some MF’s, we find novel vortex arrangements with translational order only along certain directions. Our numerical results are in excellent agreement with recent low-field experiments on square pinning arrays. 7 Moreover, using geometrical arguments that take into account the constraints of the pinning array, we derive simple formulas for the ordered MF’s and for the orientation of the VL with respect to the square or triangular pinning array.

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