A direct calculation of critical exponents of two-dimensional anisotropic Ising model

TL;DR

This paper uses an exact solution of a 1D quantum model to calculate critical exponents of a 2D classical anisotropic Ising model, confirming they match the isotropic case, offering an alternative verification method.

Contribution

It introduces a novel approach using quantum model solutions to determine critical exponents of the 2D anisotropic Ising model.

Findings

Critical exponents match those of the isotropic Ising model.

Validates the use of quantum models for classical critical phenomena.

Provides an alternative method for calculating critical exponents.

Abstract

Using an exact solution of the one-dimensional (1D) quantum transverse-field Ising model (TFIM), we calculate the critical exponents of the two-dimensional (2D) anisotropic classical Ising model (IM). We verify that the exponents are the same as those of isotropic classical IM. Our approach provides an alternative means of obtaining and verifying these well-known results.