Kramers-Wannier Duality and Random Bond Ising Model
Statistical Mechanics
2023-06-06 v1 Disordered Systems and Neural Networks
Abstract
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 vertices and dual vertices respectively, thereby explicitly demonstrating the Kramers-Wannier duality. The implications of our derived formula for the random bond Ising model are further elucidated.
Keywords
Cite
@article{arxiv.2306.02220,
title = {Kramers-Wannier Duality and Random Bond Ising Model},
author = {Chaoming Song},
journal= {arXiv preprint arXiv:2306.02220},
year = {2023}
}