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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 126, Number 1, Pages 63–83
DOI: https://doi.org/10.4213/tmf415 (Mi tmf415) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The Minimal $LM(3,4)$ Lattice Model and the Two-Dimensional Ising Model with Cylindrical Boundary Conditions

A. A. Belavin, R. A. Usmanov

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF (268 kB) Citations (3)
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DOI: https://doi.org/10.4213/tmf415
Abstract: We consider an integrable $XXZ$ model with some special open boundary conditions and one-dimensional Ising quantum chains with four different boundary conditions. We show that each of the Ising chains coincides with the minimal $LM(3,4)$ lattice model resulting from the quantum group reduction of the $XXZ$ model and the number of nodes in the former model is determined by the type of boundary conditions. The relation between the two-dimensional Ising model with four different types of boundary conditions and the $LM(3,4)$ model is established.
Received: 30.06.2000
English version:
Theoretical and Mathematical Physics, 2001, Volume 126, Issue 1, Pages 48–65
DOI: https://doi.org/10.1023/A:1005250030709
Bibliographic databases:
Language: Russian
Citation: A. A. Belavin, R. A. Usmanov, “The Minimal $LM(3,4)$ Lattice Model and the Two-Dimensional Ising Model with Cylindrical Boundary Conditions”, TMF, 126:1 (2001), 63–83; Theoret. and Math. Phys., 126:1 (2001), 48–65
Citation in format AMSBIB
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\paper The Minimal $LM(3,4)$ Lattice Model and the Two-Dimensional Ising Model with Cylindrical Boundary Conditions
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\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 126
\issue 1
\pages 48--65
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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