Kramers-Wannier Approximation for the 3D Ising Model

نویسنده

  • Kouichi Okunishi
چکیده

We 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 Kc = 0.2184 is only 1.5% less than the true Kc; the result is better than that obtained by the corner transfer tensor renormalization group (CTTRG) approach. The calculated phase transition is mean-field like.

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تاریخ انتشار 1999