VARIATIONAL THEORY FOR THE PINNING OF VORTEX LATTICES BY IMPURITIES

被引:48
作者
BOUCHAUD, JP
MEZARD, M
YEDIDIA, JS
机构
[1] Laboratoire de Physique Statistique, Ecole Normale Supérieure, 75231 Paris Cedex 05
[2] Laboratoire de Physique Théorique, Ecole Normale Supérieure, 75231 Paris Cedex 05
来源
PHYSICAL REVIEW B | 1992年 / 46卷 / 22期
关键词
D O I
10.1103/PhysRevB.46.14686
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We derive a variational replica-symmetry-breaking theory for the effect of random impurities on equilibrium properties of general ordered (crystalline) structures, in particular two-and three-dimensional vortex lattices and magnetic bubble films. We investigate the role of a finite correlation length for the random potential and show that the short scale behavior of the correlation functions corresponds to the results of Larkin and Ovchinnikov. For larger scales, we find that the translational correlation functions decay as stretched exponentials with exponents, which take different values: one must distinguish between a regime where the typical displacement is much smaller than the lattice spacing and a regime where it is much larger. We predict that, in the absence of dislocations, long-range orientational order is maintained in three and two dimensions. Our results appear to be in agreement with existing experimental data.
引用
收藏
页码:14686 / 14701
页数:16
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