Exact finite-size-scaling corrections to the critical two-dimensional Ising model on a torus: II. Triangular and hexagonal lattices

Exact finite-size-scaling corrections to the critical two-dimensional Ising model on a torus: II. Triangular and hexagonal lattices
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DOI:
10.1088/0305-4470/35/8/304
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发表时间:
2000-09
期刊:
Journal of Physics A
影响因子:
--
通讯作者:
J. Salas
J. Salas
中科院分区:
其他
文献类型:
--
作者:
J. Salas

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我们计算了包裹在环面上的三角形和六边形晶格上临界二维自旋-1/2 Ising模型的自由能、内能和比热的有限尺寸修正。我们找到了这些量的有限大小修正的一般形式,以及每个展开式的第一个系数的显式公式。我们分析了这些发现对模型的重整化群描述的含义。
We compute the finite-size corrections to the free energy, internal energy and specific heat of the critical two-dimensional spin-1/2 Ising model on triangular and hexagonal lattices wrapped on a torus. We find the general form of the finite-size corrections to these quantities, as well as explicit formulae for the first coefficients of each expansion. We analyse the implications of these findings for the renormalization-group description of the model.