Abstract
For the one-dimensional XXZ Heisenberg chain of spin 1/2 at Δ = −∞, we calculate the two-time temperature correlation function of the third components of local spins. For the correlation function in the thermodynamic limit, we obtain the expression in terms of Fredholm determinants for linear integral operators.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
N. M. Bogolyubov, A. G. Izergin, and V. E. Korepin, Correlation Functions of Integrable Systems and Quantum Inverse Scattering Method [in Russian], Nauka, Moscow (1992); English transl.: V. E. Korepin, A. G. Izergin, and N. M. Bogolyubov, Quantum Inverse Scattering Method and Correlation Functions, Cambridge Univ. Press, Cambridge (1993).
M. Jimbo and T. Miwa, Algebraic Analysis of Solvable Lattice Models, Am. Math. Soc., Providence, R. I. (1995).
F. H. L. Essler, H. Frahm, A. G. Izergin, and V. E. Korepin, Comm. Math. Phys., 174, 191–214 (1995).
N. Kitanine, J. M. Maillet, and V. Terras, Nucl. Phys. B, 567 [FS], 554–582 (2000).
F. Colomo, A. G. Izergin, and V. Tognetti, J. Phys. A, 30, 361–369 (1997).
F. Colomo, A. G. Izergin, V. E. Korepin, and V. Tognetti, Theor. Math. Phys., 94, 11–38 (1993).
A. R. Its, A. G. Izergin, V. E. Korepin, and N. A. Slavnov, “The quantum correlation function as the taufunction of classical differential equations,” in: Important Developments in Soliton Theory (A. S. Fokas and V. E. Zakharov, eds.), Springer, Berlin (1993), pp. 407–417.
A. G. Izergin, A. R. Its, V. E. Korepin, and N. A. Slavnov, St. Petersburg Math. J., 6, 315–326 (1995).
Y. Fujii and M. Wadati, J. Phys. A, 33, 1351–1361 (2000).
T. Niemeijer, Phys., 36, 377–419 (1967).
A. G. Izergin, A. G. Pronko, and N. I. Abarenkova, Phys. Lett. A, 245, 537–547 (1998).
N. M. Bogoliubov, A. G. Izergin, and N. A. Kitanine, Nucl. Phys. B, 516 [FS], 501–528 (1998).
F. C. Alcaraz and R. Z. Bariev, “An exactly solvable constrained XXZ chain,” in: Proc. Conf.: Statistical Physics on the Eve of the Twenty-First Century, 2000 (to appear); cond-mat/9904042 (1999).
N. M. Bogoliubov, A. G. Izergin, N. A. Kitanin, A. G. Pronko, and J. Timonen, Phys. Rev. Lett., 86, 4439–4442 (2001).
M. Gaudin, La fonction d'onde de Bethe, Masson, Paris (1983).
A. G. Izergin and A. G. Pronko, Nucl. Phys. B, 520 [FS], 594–632 (1998).
C. N. Yang and C. P. Yang, J. Math. Phys., 10, 1115–1122 (1969).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Abarenkova, N.I., Pronko, A.G. Temperature Correlation Function in the Absolutely Anisotropic XXZ Heisenberg Magnet. Theoretical and Mathematical Physics 131, 690–703 (2002). https://doi.org/10.1023/A:1015480916713
Issue Date:
DOI: https://doi.org/10.1023/A:1015480916713