Exact solution of two-dimensional (2D) Ising model with a transverse field: a low-dimensional quantum spin system
Statistical Mechanics
2025-01-07 v1
Abstract
The exact solution of ferromagnetic two-dimensional (2D) Ising model with a transverse field, which can be used to describe the critical phenomena in low-dimensional quantum spin systems, is derived by equivalence between the ferromagnetic 2D Ising model with a transverse field and the ferromagnetic three-dimensional (3D) Ising model. The results obtained in this work can be extended to be suitable for the antiferromagnetic 2D Ising model with a transverse field in the cases without frustration.
Cite
@article{arxiv.2501.01997,
title = {Exact solution of two-dimensional (2D) Ising model with a transverse field: a low-dimensional quantum spin system},
author = {Zhidong Zhang},
journal= {arXiv preprint arXiv:2501.01997},
year = {2025}
}
Comments
12 pages, no figures