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TMF, 2006, Volume 146, Number 1, Pages 146–160 (Mi tmf2015)  

This article is cited in 8 scientific papers (total in 8 papers)

The $XX$ and Ising Limits in Integral Formulas for Finite-Temperature Correlation Functions of the $XXZ$ Chain

F. Gohmann, A. Seel

University of Wuppertal

Abstract: We consider a multiple-integral representation for a one-parameter generating function of the finite temperature $S^z$$S^z$ correlation functions of the antiferromagnetic spin-$1/2$ $XXZ$ chain in the $XX$ limit and in the Ising limit. We show how the multiple integrals reduce to single integrals in these limits, thus reproducing known results.

Keywords: quantum spin chain, exact finite-temperature correlation functions, $XX$ model

DOI: https://doi.org/10.4213/tmf2015

Full text: PDF file (242 kB)
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English version:
Theoretical and Mathematical Physics, 2006, 146:1, 119–130

Bibliographic databases:


Citation: F. Gohmann, A. Seel, “The $XX$ and Ising Limits in Integral Formulas for Finite-Temperature Correlation Functions of the $XXZ$ Chain”, TMF, 146:1 (2006), 146–160; Theoret. and Math. Phys., 146:1 (2006), 119–130

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Boos HE, Göhmann F, Klümper A, Suzuki J, “Factorization of multiple integrals representing the density matrix of a finite segment of the Heisenberg spin chain”, Journal of Statistical Mechanics-Theory and Experiment, 2006, P04001, 13 pp.  crossref  isi  scopus  scopus
    2. Boos HE, Göhmann F, Klümper A and Suzuki J, “Factorization of the finite temperature correlation functions of the XXZ chain in a magnetic field”, Journal of Physics A-Mathematical and Theoretical, 40:35 (2007), 10699–10727  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    3. Sakai K, “Dynamical correlation functions of the XXZ model at finite temperature”, Journal of Physics A-Mathematical and Theoretical, 40:27 (2007), 7523–7542  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    4. Batchelor MT, Guan XW, Oelkers N, et al., “Integrable models and quantum spin ladders: comparison between theory and experiment for the strong coupling ladder compounds”, Advances in Physics, 56:3 (2007), 465–543  crossref  adsnasa  isi  scopus  scopus
    5. Tsuboi Z, “A note on the high temperature expansion of the density matrix for the isotropic Heisenberg chain”, Physica A-Statistical Mechanics and Its Applications, 377:1 (2007), 95–101  crossref  adsnasa  isi  scopus  scopus
    6. Boos H.E., Damerau J., Goehmann F., Kluemper A., Suzuki J., Weisse A., “Short-distance thermal correlations in the XXZ chain”, Journal of Statistical Mechanics-Theory and Experiment, 2008, P0810  mathscinet  isi
    7. Trippe C., Göhmann F., Klümper A., “Short-distance thermal correlations in the massive XXZ chain”, European Physical Journal B, 73:2 (2010), 253–264  crossref  adsnasa  isi  scopus  scopus
    8. Goehmann F., Karbach M., Kluemper A., Kozlowski K.K., Suzuki J., “Thermal Form-Factor Approach to Dynamical Correlation Functions of Integrable Lattice Models”, J. Stat. Mech.-Theory Exp., 2017, 113106  crossref  mathscinet  isi  scopus  scopus
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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