Corner Transfer Matrix Algorithm for Classical Renormalization Group

Details Corner Transfer Matrix Algorithm for Classical Renormalization Group Corner Transfer Matrix Algorithm for Classical Renormalization Group

1997-05-08

arxiv.org/abs/cond-mat/9705072v1

J. Phys. Soc. Jpn. 66 (1997) 3040

Physics

Condensed Matter

Statistical Mechanics

20 pages, 10 ps figures, JPSJ style files are included

Scientific paper

10.1143/JPSJ.66.3040

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.

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