EQUILIBRIUM CRYSTAL SHAPES AND CORRELATION LENGTHS - A GENERAL EXACT RESULT IN 2 DIMENSIONS

被引:28
作者
HOLZER, M
机构
[1] Department of Physics, Simon Fraser University, Burnaby, Canada V5A 1S6, BC
关键词
D O I
10.1103/PhysRevLett.64.653
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show that the exact equilibrium crystal shape (ECS) for a wide class of two-dimensional Ising models can simply be read off from the analytical expression for the bulk free energy: The ECS is given as the locus of purely imaginary zeros of the -space lattice-path propagator. From these shapes, one may obtain numerically, to arbitrary accuracy, the high-temperature direction-dependent correlation lengths of the dual system. These exact ECSs and corresponding correlation lengths were previously known only for the rectangular, triangular, and honeycomb lattices. © 1990 The American Physical Society.
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收藏
页码:653 / 656
页数:4
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