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Teoreticheskaya i Matematicheskaya Fizika, 1977, Volume 33, Number 2, Pages 246–271 (Mi tmf3294)  

This article is cited in 5 scientific papers (total in 5 papers)

Dimer and Ising models on the Lobachevskii plane

F. Lund, M. Rasetti, T. Regge
References:
Abstract: The generating function for close-packet dimer configurations is studied for lattices constructed on the Lobachevskii plane using the Pfaffian method. These lattices are homogeneous under the modular group and the problem of counting dimer configurations is related to the word problem of Dehn. The partition function for the Ising model is found by solving a dimer problem using the prescription given by Fischer. The free energy is given as the solution of a set of algebraic equations and the specific heat has a power-law singularity with critical exponent $\alpha = 1$.
Received: 05.04.1977
English version:
Theoretical and Mathematical Physics, 1977, Volume 33, Issue 2, Pages 1000–1015
DOI: https://doi.org/10.1007/BF01036598
Language: Russian
Citation: F. Lund, M. Rasetti, T. Regge, “Dimer and Ising models on the Lobachevskii plane”, TMF, 33:2 (1977), 246–271; Theoret. and Math. Phys., 33:2 (1977), 1000–1015
Citation in format AMSBIB
\Bibitem{LunRasReg77}
\by F.~Lund, M.~Rasetti, T.~Regge
\paper Dimer and Ising models on the Lobachevskii plane
\jour TMF
\yr 1977
\vol 33
\issue 2
\pages 246--271
\mathnet{http://mi.mathnet.ru/tmf3294}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 33
\issue 2
\pages 1000--1015
\crossref{https://doi.org/10.1007/BF01036598}
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  • https://www.mathnet.ru/eng/tmf/v33/i2/p246
  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
     
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