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Pis'ma v Zh. Èksper. Teoret. Fiz., 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

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.

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English version:
Journal of Experimental and Theoretical Physics Letters, 2005, 82:5, 311–315

Bibliographic databases:

Document Type: Article
PACS: 05.50.+q, 75.10.Hk
Received: 14.07.2005

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 articles:
    1. Nikolai Iorgov, “Eigenvectors of Open Bazhanov–Stroganov Quantum Chain”, SIGMA, 2 (2006), 019, 10 pp.  mathnet  crossref  mathscinet  zmath
    2. von Gehlen G., Iorgov N., Pakuliak S., Shadura V., “Baxter-Bazhanov-Stroganov model: separation of variables and the Baxter equation”, J Phys A, 39:23 (2006), 7257–7282  crossref  mathscinet  zmath  adsnasa  isi  scopus
    3. Lisovyy O., “Transfer matrix eigenvectors of the Baxter-Bazhanov-Stroganov tau(2)-model for N=2”, J Phys A, 39:10 (2006), 2265–2285  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    4. Nikolai Iorgov, Vladimir Roubtsov, Vitaly Shadura, Yuri Tykhyy, “Relativistic Toda Chain with Boundary Interaction at Root of Unity”, SIGMA, 3 (2007), 013, 14 pp.  mathnet  crossref  mathscinet  zmath
    5. von Gehlen G., Iorgov N., Pakuliak S., Shadura V., Tykhyy Yu., “Form-factors in the Baxter-Bazhanov-Stroganov model I: norms and matrix elements”, Journal of Physics A-Mathematical and Theoretical, 40:47 (2007), 14117–14138  crossref  mathscinet  zmath  adsnasa  isi  scopus
    6. von Gehlen G., Pakuliak N. Iorgov S., Pakuliak S., Shadura V., Tykhyy Yu., “Form-factors in the Baxter-Bazhanov-Stroganov model II: Ising model on the finite lattice”, Journal of Physics A-Mathematical and Theoretical, 41:9 (2008), 095003  crossref  mathscinet  zmath  adsnasa  isi  scopus
    7. von Gehlen G., Iorgov N., Pakuliak S., Shadura V., “Factorized finite-size Ising model spin matrix elements from separation of variables”, Journal of Physics A-Mathematical and Theoretical, 42:30 (2009), 304026  crossref  mathscinet  zmath  isi  scopus
    8. Iorgov N., Lisovyy O., “Finite-lattice form factors in free-fermion models”, J Stat Mech Theory Exp, 2011, P04011  crossref  isi  scopus
    9. Iorgov N., Shadura V., Tykhyy Yu., “Spin operator matrix elements in the quantum Ising chain: fermion approach”, J Stat Mech Theory Exp, 2011, P02028  crossref  isi  scopus
    10. Iorgov N., “Form factors of the finite quantum XY-chain”, Journal of Physics a-Mathematical and Theoretical, 44:33 (2011), 335005  crossref  zmath  isi  scopus
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