Kramers-Wannier Duality and Random-Bond Ising Model

被引：0
|
作者：
Song, Chaoming [1 ]
机构：
[1] Univ Miami, Dept Phys, Coral Gables, FL 33146 USA
来源：
ENTROPY | 2024年 / 26卷 / 08期
关键词：
Kramers-Wannier duality; Random-Bond Ising Model; disorder operator; zeta function; CRYSTAL STATISTICS; FRUSTRATION; OPERATORS; FERMIONS; ORDER;
D O I：
10.3390/e26080636
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We present a new combinatorial approach to the Ising model incorporating arbitrary bond weights on planar graphs. In contrast to existing methodologies, the exact free energy is expressed as the determinant of a set of ordered and disordered operators defined on a planar graph and the corresponding dual graph, respectively, thereby explicitly demonstrating the Kramers-Wannier duality. The implications of our derived formula for the Random-Bond Ising Model are further elucidated.
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页数：10
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