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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 269, Pages 43–61 (Mi znsl1304)  
This article is cited in 2 scientific papers (total in 2 papers)

Temperature correlators of the $XXZ$ Heizenberg magnet at $\Delta=-\infty$

N. I. Abarenkova, A. G. Pronko

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (246 kB) Citations (2)
Abstract: The one-dimensional $XXZ$ Heizenberg magnet at $\Delta=-\infty$ is considered and time-dependent temperature correlation function of $z$-components of local spins is calculated. In the thermodynamic limit the correlation function is expressed through Fredholm determinants of linear integral operators.
Received: 16.11.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 115, Issue 1, Pages 1910–1920
DOI: https://doi.org/10.1023/A:1022679224781
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: N. I. Abarenkova, A. G. Pronko, “Temperature correlators of the $XXZ$ Heizenberg magnet at $\Delta=-\infty$”, Questions of quantum field theory and statistical physics. Part 16, Zap. Nauchn. Sem. POMI, 269, POMI, St. Petersburg, 2000, 43–61; J. Math. Sci. (N. Y.), 115:1 (2003), 1910–1920
Citation in format AMSBIB
\Bibitem{AbaPro00}
\by N.~I.~Abarenkova, A.~G.~Pronko
\paper Temperature correlators of the $XXZ$ Heizenberg magnet at $\Delta=-\infty$
\inbook Questions of quantum field theory and statistical physics. Part~16
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 269
\pages 43--61
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1304}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1805852}
\zmath{https://zbmath.org/?q=an:1092.82012}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 115
\issue 1
\pages 1910--1920
\crossref{https://doi.org/10.1023/A:1022679224781}
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  • https://www.mathnet.ru/eng/znsl/v269/p43
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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