五角格点的张量积变分公式
Tensor product variational formulation applied to pentagonal lattice
摘要：
将均匀二维变分张量积态应用于正则双曲晶格表面上的横场伊辛、XY和海森堡模型。该格是通过镶嵌全等五边形与固定的协调数为4。作为基准，这三个模型同时在平面正方形格子上进行研究。观察到伊辛相变的类平均场普适性与双曲晶格上的经典对应物完全一致。热力学极限下的张量积基态具有特殊的三参数解。计算了自旋模型的变分基态能量。
英文摘要：
The uniform two-dimensional variational tensor product state is applied to the transverse-field Ising, XY, and Heisenberg models on a regular hyperbolic lattice surface. The lattice is constructed by tessellation of the congruent pentagons with the fixed coordination number being four. As a benchmark, the three models are studied on the flat square lattice simultaneously. The mean-field-like universality of the Ising phase transition is observed in full agreement with its classical counterpart on the hyperbolic lattice. The tensor product ground state in the thermodynamic limit has an exceptional three-parameter solution. The variational ground-state energies of the spin models are calculated.
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