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

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...

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Bibliographic Details
Published in:Physica. E, Low-dimensional systems & nanostructures Low-dimensional systems & nanostructures, 2021-04, Vol.128, p.114632, Article 114632
Main Author: Zhang, Zhidong
Format: Article
Language:English
Subjects:
Critical phenomena
Exact solution
Ising models
Quantum spin systems
Transverse field
Two-dimensional (2D) systems
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Summary: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. •The exact solution of the ferromagnetic 2D Ising model with a transverse field is reported.•The results are suitable for the antiferromagnetic 2D Ising model with a transverse field in the cases without frustration.
ISSN:1386-9477
1873-1759
DOI:10.1016/j.physe.2021.114632