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Chinese Physics Letters

Application of Corner Transfer Matrix Renormalization Group Method to the Correlation Function of a Two-Dimensional Ising Model *

何春山, 李志兵

Published Jan 1, 2003• 0 citations
OpenAlex

Abstract

The correlation function of a two-dimensional Ising model is calculated by the corner transfer matrix renormal-ization group method. We obtain the critical exponent η= 0.2496 with few computer resources.

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We report a real-space renormalization group (RSRG) algorithm, which is formulated through Baxter's corner transfer matrix (CTM), for two-dimensional (d = 2) classical lattice models. The new method performs the renormalization group transformation according to White's density matrix algorithm, so that variational free energies are minimized within a restricted degree of freedom m. As a consequence of the renormalization, spin variables on each corner of CTM are replaced by a m-state block spin variable. It is shown that the thermodynamic functions and critical exponents of the q = 2, 3 Potts models can be precisely evaluated by use of the renormalization group method.