Series expansions from the corner transfer matrix renormalization group method: the hard-squares model

Chan, Yao-ban (2012) Series expansions from the corner transfer matrix renormalization group method: the hard-squares model. Journal of Physics A-Mathematical and Theoretical, 45 8: 085001.1-085001.18. doi:10.1088/1751-8113/45/8/085001


Author Chan, Yao-ban
Title Series expansions from the corner transfer matrix renormalization group method: the hard-squares model
Journal name Journal of Physics A-Mathematical and Theoretical   Check publisher's open access policy
ISSN 1751-8113
1751-8121
Publication date 2012-03-01
Year available 2012
Sub-type Article (original research)
DOI 10.1088/1751-8113/45/8/085001
Open Access Status Not yet assessed
Volume 45
Issue 8
Start page 085001.1
End page 085001.18
Total pages 19
Place of publication Bristol, United Kingdom
Publisher Institute of Physics Publishing
Language eng
Formatted abstract
The corner transfer matrix renormalization group method is an efficient method for evaluating physical quantities in statistical mechanical models. It originates from Baxters corner transfer matrix equations and method, and was developed by Nishino and Okunishi in 1996. In this paper, we review and adapt this method, previously used for numerical calculations, to derive series expansions. We use this to calculate 92 terms of the partition function of the hard-squares model. We use the resulting series to provide evidence supporting the claim that the method is subexponential in the number of generated terms, and briefly analyse the singularities of the function.
Keyword Lattice Ising Model
Chiral Potts Model
3D Classical Models
Variational Approximation
Statistical-Mechanics
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Journal Article
Sub-type: Article (original research)
Collection: School of Mathematics and Physics
 
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Citation counts: TR Web of Science Citation Count  Cited 8 times in Thomson Reuters Web of Science Article | Citations
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Created: Fri, 13 Sep 2013, 00:27:07 EST by Kay Mackie on behalf of School of Mathematics & Physics