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

2001/10/31 by J. Salas, Jesús Salas · 1 citation
Mathematics · Physics and Astronomy · #Energy (signal processing) #Hexagonal crystal system #Hexagonal lattice #Internal energy #Ising model #Quantum many-body systems #Specific heat #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat #hep-th

paper · pdf · doi:10.1088/0305-4470/35/8/304

published as J.Phys.A35:1833-1870,2002 · 45 pages (LaTeX2e). Self-unpacking file containing the tex file and three macros (indent.sty, eqsection.sty, subeqnarray.sty). Paper I corresponds to cond-mat/0009054. Final version

openalex publication_date 2002/02/18 · arxiv created 2002/02/19 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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.

Citations

• Geometry, thermodynamics, and finite-size corrections in the critical Potts model
• Ising model on nonorientable surfaces: Exact solution for the Möbius strip and the Klein bottle
• Modular Invariance, Lattice Field Theories, and Finite Size Corrections
• Duality in field theory and statistical systems
• Exact finite-size-scaling corrections to the critical two-dimensional Ising model on a torus

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