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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2005, Volume 82, Issue 5, Pages 346–351 (Mi jetpl1560)  

This article is cited in 10 scientific papers (total in 10 papers)

QUANTUM INFORMATION SCIENCE

Alternative method of calculating the eigenvalues of the transfer matrix of the τ2 model for N = 2

A. I. Bugrij, N. Z. Iorgov, V. N. Shadura

N. N. Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine
References:
Abstract: It has been shown that the τ2 (Baxter-Bazhanov-Stroganov) model for N = 2 with arbitrary parameters is a particular case of the generalized Ising model. The model satisfies the free-fermion condition, which enables one to solve it by the method of the auxiliary Grassmann field. Explicit expressions have been derived for the partition function on a finite-size lattice and eigenvalues of the transfer matrix. In this approach, in contrast to the functional relation method, there is no problem with the multiplicities of the eigenvalues of transfer matrix.
Received: 14.07.2005
English version:
Journal of Experimental and Theoretical Physics Letters, 2005, Volume 82, Issue 5, Pages 311–315
DOI: https://doi.org/10.1134/1.2130919
Bibliographic databases:
Document Type: Article
PACS: 05.50.+q, 75.10.Hk
Language: Russian


Citation: A. I. Bugrij, N. Z. Iorgov, V. N. Shadura, “Alternative method of calculating the eigenvalues of the transfer matrix of the τ2 model for N = 2”, Pis'ma v Zh. Èksper. Teoret. Fiz., 82:5 (2005), 346–351; JETP Letters, 82:5 (2005), 311–315
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  • This publication is cited in the following 10 articles:
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