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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 94, Number 1, Pages 19–51 (Mi tmf1408)  

This article is cited in 77 scientific papers (total in 77 papers)

Temperature correlation functions in the XX0 Heisenberg chain. I

F. Colomo, A. G. Izergin, V. E. Korepin, V. Tognetti
References:
Abstract: Space and time dependent correlation functions in the Heisenberg XX0 chain (in the transverse magnetic field) are expressed in terms of Fredholm determinants of linear integral operators. This is done in order to evaluate asymptotics of these correlations, which we shall do in next paper.
Received: 28.07.1992
English version:
Theoretical and Mathematical Physics, 1993, Volume 94, Issue 1, Pages 11–38
DOI: https://doi.org/10.1007/BF01016992
Bibliographic databases:
Language: English
Citation: F. Colomo, A. G. Izergin, V. E. Korepin, V. Tognetti, “Temperature correlation functions in the XX0 Heisenberg chain. I”, TMF, 94:1 (1993), 19–51; Theoret. and Math. Phys., 94:1 (1993), 11–38
Citation in format AMSBIB
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\by F.~Colomo, A.~G.~Izergin, V.~E.~Korepin, V.~Tognetti
\paper Temperature correlation functions in the~XX0 Heisenberg chain.~I
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\vol 94
\issue 1
\pages 19--51
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1226428}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 94
\issue 1
\pages 11--38
\crossref{https://doi.org/10.1007/BF01016992}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993LX39300003}
Linking options:
  • https://www.mathnet.ru/eng/tmf1408
  • https://www.mathnet.ru/eng/tmf/v94/i1/p19
  • This publication is cited in the following 77 articles:
    1. Frank Göhmann, Karol K Kozlowski, “Space-like asymptotics of the thermal two-point functions of the XXZ spin-1/2 chain”, J. Stat. Mech., 2024:3 (2024), 033101  crossref
    2. Vladislav Popkov, Xin Zhang, Frank Göhmann, Andreas Klümper, “Chiral Basis for Qubits and Spin-Helix Decay”, Phys. Rev. Lett., 132:22 (2024)  crossref
    3. Zi-Long Li, Yuan Wan, “Photon echo and fractional excitation lensing of the S=12 XY spin chain”, Phys. Rev. B, 108:16 (2023)  crossref
    4. Ovidiu I. Pâţu, “Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases”, Phys. Rev. A, 108:5 (2023)  crossref
    5. P N Bibikov, “Thermodynamics of an Ising-like XXZ chain in a longitudinal magnetic field in the framework of the quantum transfer matrix approach”, J. Stat. Mech., 2022:2 (2022), 023101  crossref
    6. Giuseppe Del Vecchio Del Vecchio, Benjamin Doyon, “The hydrodynamic theory of dynamical correlation functions in the XX chain”, J. Stat. Mech., 2022:5 (2022), 053102  crossref
    7. Ovidiu I. Pâţu, “Exact spectral function of the Tonks-Girardeau gas at finite temperature”, Phys. Rev. A, 106:5 (2022)  crossref
    8. C Malyshev, N M Bogoliubov, “Spin correlation functions, Ramus-like identities, and enumeration of constrained lattice walks and plane partitions”, J. Phys. A: Math. Theor., 55:22 (2022), 225002  crossref
    9. Etienne Granet, Henrik Dreyer, Fabian Essler, “Out-of-equilibrium dynamics of the XY spin chain from form factor expansion”, SciPost Phys., 12:1 (2022)  crossref
    10. Gamayun O. Iorgov N. Zhuravlev Yu., “Effective Free-Fermionic Form Factors and the Xy Spin Chain”, SciPost Phys., 10:3 (2021), 070  crossref  isi
    11. Bibikov P.N., “Low-Temperature Asymptotic of the Transverse Dynamical Structure Factor For a Magnetically Polarizedxxchain”, J. Stat. Mech.-Theory Exp., 2020:7 (2020), 073106  crossref  isi
    12. Etienne Granet, Maurizio Fagotti, Fabian Essler, “Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions”, SciPost Phys., 9:3 (2020)  crossref
    13. Frank Göhmann, Karol K. Kozlowski, Junji Suzuki, “Long-time large-distance asymptotics of the transverse correlation functions of the XX chain in the spacelike regime”, Lett Math Phys, 110:7 (2020), 1783  crossref
    14. Etienne Granet, Fabian Essler, “A systematic 1/c-expansion of form factor sums for dynamical correlations in the Lieb-Liniger model”, SciPost Phys., 9:6 (2020)  crossref
    15. Patu I O., “Correlation Functions of One-Dimensional Strongly Interacting Two-Component Gases”, Phys. Rev. A, 100:6 (2019), 063635  crossref  isi
    16. Frank Göhmann, Karol K. Kozlowski, Jesko Sirker, Junji Suzuki, “Equilibrium dynamics of the XX chain”, Phys. Rev. B, 100:15 (2019)  crossref
    17. Kozlowski K.K., “On the Thermodynamic Limit of Form Factor Expansions of Dynamical Correlation Functions in the Massless Regime of the Xxz Spin 1/2 Chain”, J. Math. Phys., 59:9, SI (2018), 091408  crossref  mathscinet  zmath  isi  scopus
    18. M Saeedian, A Zahabi, “Phase structure of XX0 spin chain and nonintersecting Brownian motion”, J. Stat. Mech., 2018:1 (2018), 013104  crossref
    19. P N Bibikov, “Bethe ansatz for two-magnon scattering states in 2D and 3D Heisenberg–Ising ferromagnets”, J. Stat. Mech., 2018:4 (2018), 043108  crossref
    20. Mario Collura, Fabian H L Essler, Stefan Groha, “Full counting statistics in the spin-1/2 Heisenberg XXZ chain”, J. Phys. A: Math. Theor., 50:41 (2017), 414002  crossref
    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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