Exact Finite-Size-Scaling Corrections to the Critical Two-Dimensional Ising Model on a Torus. II. Triangular and hexagonal lattices

Details 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

2001-10-15

arxiv.org/abs/cond-mat/0110287v2

J.Phys.A35:1833-1870,2002

Physics

Condensed Matter

Statistical Mechanics

45 pages (LaTeX2e). Self-unpacking file containing the tex file and three macros (indent.sty, eqsection.sty, subeqnarray.sty).

Scientific paper

10.1088/0305-4470/35/8/304

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 a 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 formulas for the first coefficients of each expansion. We analyze the implications of these findings on the renormalization-group description of the model.

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