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arXiv · 2501.01997

Exact solution of two-dimensional (2D) Ising model with a transverse field: a low-dimensional quantum spin system

Zhidong Zhang
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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.

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Zhidong Zhang. 2025-01-01. Exact solution of two-dimensional (2D) Ising model with a transverse field: a low-dimensional quantum spin system. https://doi.org/10.1016/j.physe.2021.114632

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