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

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

This article is cited in 78 scientific papers (total in 78 papers)

Temperature correlation functions in the XX0 Heisenberg chain. I

F. Colomo, A. G. Izergin, V. E. Korepin, V. Tognetti

Full-text PDF (2306 kB) Citations (78)

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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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\jour Theoret. and Math. Phys.

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Linking options:

https://www.mathnet.ru/eng/tmf1408

https://www.mathnet.ru/eng/tmf/v94/i1/p19

This publication is cited in the following 78 articles:

Xin Zhang, Frank Göhmann, Andreas Klümper, Vladislav Popkov, “Chiral eigenbases of the XX and XY quantum spin chains”, Phys. Rev. B, 111:9 (2025)
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
Vladislav Popkov, Xin Zhang, Frank Göhmann, Andreas Klümper, “Chiral Basis for Qubits and Spin-Helix Decay”, Phys. Rev. Lett., 132:22 (2024)
Zi-Long Li, Yuan Wan, “Photon echo and fractional excitation lensing of the S=12 XY spin chain”, Phys. Rev. B, 108:16 (2023)
Ovidiu I. Pâţu, “Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases”, Phys. Rev. A, 108:5 (2023)
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
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
Ovidiu I. Pâţu, “Exact spectral function of the Tonks-Girardeau gas at finite temperature”, Phys. Rev. A, 106:5 (2022)
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
Etienne Granet, Henrik Dreyer, Fabian Essler, “Out-of-equilibrium dynamics of the XY spin chain from form factor expansion”, SciPost Phys., 12:1 (2022)
Gamayun O. Iorgov N. Zhuravlev Yu., “Effective Free-Fermionic Form Factors and the Xy Spin Chain”, SciPost Phys., 10:3 (2021), 070
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
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)
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
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)
Patu I O., “Correlation Functions of One-Dimensional Strongly Interacting Two-Component Gases”, Phys. Rev. A, 100:6 (2019), 063635
Frank Göhmann, Karol K. Kozlowski, Jesko Sirker, Junji Suzuki, “Equilibrium dynamics of the XX chain”, Phys. Rev. B, 100:15 (2019)
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
M Saeedian, A Zahabi, “Phase structure of XX0 spin chain and nonintersecting Brownian motion”, J. Stat. Mech., 2018:1 (2018), 013104
P N Bibikov, “Bethe ansatz for two-magnon scattering states in 2D and 3D Heisenberg–Ising ferromagnets”, J. Stat. Mech., 2018:4 (2018), 043108

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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