Kramers-Wannier Approximation for 3D Ising Model

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dc.creatorOkunishi, Kouichi
dc.creatorNishino, Tomotoshi
dc.date1999-09-07
dc.date.accessioned2026-07-07T07:45:57Z
dc.date.available2026-07-07T07:45:57Z
dc.descriptionWe investigate the Kramers-Wannier approximation for the three-dimensional (3D) Ising model. The variational state is represented by an effective 2D Ising model, which contains two variational parameters. We numerically calculate the variational partition function using the corner transfer matrix renormalization group (CTMRG) method, and find its maximum with respect to the variational parameters. The calculated transition point $K_{\rm c} = 0.2184$ is only 1.5% less than the true $K_{\rm c}$; the result is better than that obtained by the corner transfer tensor renormalization group (CTTRG) approach. The calculated phase transition is mean-field like.
dc.description7 pages, 4 figures, submitted to Prog. Theor. Phys
dc.identifierhttps://arxiv.org/abs/cond-mat/9909097
dc.identifierhttp://arxiv.org/abs/cond-mat/9909097
dc.identifierProg. Theor. Phys. 103, (2000) 541-548
dc.identifierdoi:10.1143/PTP.103.541
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123672
dc.subjectStatistical Mechanics
dc.titleKramers-Wannier Approximation for 3D Ising Model
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