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.

中文翻译：

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具有横向场的二维（2D）Ising模型的精确解：低维量子自旋系统

带有横向场的铁磁二维（2D）Ising模型的精确解可以用来描述低维量子自旋系统中的临界现象，这是通过带有横向场的铁磁2D Ising模型与铁磁三维（3D）Ising模型。在没有挫折的情况下，这项工作中获得的结果可以扩展为适用于具有横向场的反铁磁二维伊辛模型。