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.

引用

页数：10

共 15 条

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[2] A Factor-Graph Approach to Algebraic Topology, With Applications to Kramers-Wannier Duality
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PHYSICAL REVIEW B, 2015, 92 (13)
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Kple, J.
Albayrak, E.
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EUROPEAN PHYSICAL JOURNAL PLUS, 2022, 137 (12)
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JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2014, 83 (10)

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