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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 269, Pages 207–218 (Mi znsl1316)  
This article is cited in 4 scientific papers (total in 4 papers)

The long-distance asymptotic for the correlation function of the third spin components in the XX0 model with the interaction of four neighboring sites

M. B. Zvonarev, A. G. Izergin, A. G. Pronko

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (198 kB) Citations (4)
Abstract: The XX0 model in an external magnetic field directed along the $z$-axis is discussed. The Hamiltonian describing exchange interaction in two and four neighboring sites of a chain is constructed. An integral representation for the equal-time temperature correlation function of the third spin components is presented. The correlation radius from the long-distance asymptotic of this correlation function is calculated and its low-temperature behavior is studied.
Received: 10.11.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 115, Issue 1, Pages 2002–2008
DOI: https://doi.org/10.1023/A:1022603930233
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: M. B. Zvonarev, A. G. Izergin, A. G. Pronko, “The long-distance asymptotic for the correlation function of the third spin components in the XX0 model with the interaction of four neighboring sites”, Questions of quantum field theory and statistical physics. Part 16, Zap. Nauchn. Sem. POMI, 269, POMI, St. Petersburg, 2000, 207–218; J. Math. Sci. (N. Y.), 115:1 (2003), 2002–2008
Citation in format AMSBIB
\Bibitem{ZvoIzePro00}
\by M.~B.~Zvonarev, A.~G.~Izergin, A.~G.~Pronko
\paper The long-distance asymptotic for the correlation function of the third spin components in the XX0 model with the interaction of four neighboring sites
\inbook Questions of quantum field theory and statistical physics. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 269
\pages 207--218
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1316}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1805862}
\zmath{https://zbmath.org/?q=an:1092.82510}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 1
\pages 2002--2008
\crossref{https://doi.org/10.1023/A:1022603930233}
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  • https://www.mathnet.ru/eng/znsl/v269/p207
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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