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Cited by 203

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Corner Transfer Matrix Algorithm for Classical Renormalization Group

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Nishino, Tomotoshi, Okunishi, Kouichi·1997·Journal of the Physical Society of Japan
DOI 10.1143/jpsj.66.3040
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Abstract

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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Metadata

Authors
Nishino, T., & Okunishi, K.
Venue
Journal of the Physical Society of Japan
Publisher
Physical Society of Japan
Published
1997-10-15
Volume
66
Issue
10
Pages
3040-3047
ISSN
  • 0031-9015 (ISSN-L)
  • 1347-4073
DOI
10.1143/jpsj.66.3040
OpenAlex
W2015823186
Cited by
203
References
3
FWCI
2.93
Type
journal article
Language
en
Open access
hybrid

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Nishino, T., & Okunishi, K. (1997). Corner Transfer Matrix Algorithm for Classical Renormalization Group. Journal of the Physical Society of Japan. https://doi.org/10.1143/jpsj.66.3040

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