Fermions and Disorder in Ising and Related Models in Two Dimensions

TL;DR

This paper explores how disorder affects phase transitions in 2D Ising models using a fermionic approach with Grassmann variables, providing new insights into disordered systems.

Contribution

It introduces a fermionic reformulation of disordered 2D Ising models, enabling analysis of phase transitions with quenched and annealed disorder.

Findings

Disorder modifies the nature of phase transitions in 2D Ising models.

Fermionic approach offers a new analytical framework for disordered systems.

Results shed light on the interplay between disorder and critical phenomena.

Abstract

The aspects of phase transitions in the two-dimensional Ising models modified by quenched and annealed site disorder are discussed in the framework of fermionic approach based on the reformulation of the problem in terms of integrals with anticommuting Grassmann variables.