Temperature Correlation Function in the Absolutely Anisotropic XXZ Heisenberg Magnet

作者: N. I. Abarenkova , A. G. Pronko

DOI: 10.1023/A:1015480916713

关键词: Chain (algebraic topology)Mathematical physicsSpinsThermodynamic limitFredholm theoryAnisotropyMathematicsFredholm integral equationCorrelation function (statistical mechanics)Quantum electrodynamicsSpin-½

摘要: For the one-dimensional XXZ Heisenberg chain of spin 1/2 at Δ = −∞, we calculate two-time temperature correlation function third components local spins. in thermodynamic limit, obtain expression terms Fredholm determinants for linear integral operators.

参考文章(14)
Tetsuji Miwa, Michio Jimbo, Algebraic Analysis of Solvable Lattice Models. ,(1994)
A. R. Its, A. G. Izergin, V. E. Korepin, N. A. Slavnov, The Quantum Correlation Function as the ז Function of Classical Differential Equations Springer Berlin Heidelberg. pp. 407- 417 ,(1993) , 10.1007/978-3-642-58045-1_19
Michel Gaudin, La fonction d'onde de Bethe Masson. ,(1983)
F. C. Alcaraz, R. Z. Bariev, An Exactly Solvable Constrained XXZ Chain arXiv: Statistical Mechanics. ,(1999)
F. Colomo, A. G. Izergin, V. E. Korepin, V. Tognetti, Temperature correlation functions in the XX0 Heisenberg chain. I Theoretical and Mathematical Physics. ,vol. 94, pp. 11- 38 ,(1993) , 10.1007/BF01016992
Fabian H. L. Eßler, Holger Frahm, Vladimir E. Korepin, Anatoli G. Izergin, Determinant representation for correlation functions of spin-$1/2$ $XXX$ and $XXZ$ Heisenberg magnets Communications in Mathematical Physics. ,vol. 174, pp. 191- 214 ,(1995) , 10.1007/BF02099470
A.G. Izergin, A.G. Pronko, Temperature correlators in the two-component one-dimensional gas Nuclear Physics. ,vol. 520, pp. 594- 632 ,(1998) , 10.1016/S0550-3213(98)00182-5
N. M. Bogoliubov, A. G. Izergin, N. A. Kitanine, A. G. Pronko, J. Timonen, Quantum dynamics of strongly interacting boson systems: atomic beam splitters and coupled Bose-Einstein condensates. Physical Review Letters. ,vol. 86, pp. 4439- 4442 ,(2001) , 10.1103/PHYSREVLETT.86.4439
A.G Izergin, A.G Pronko, N.I Abarenkova, Temperature correlators in the one-dimensional Hubbard model in the strong coupling limit Physics Letters A. ,vol. 245, pp. 537- 547 ,(1998) , 10.1016/S0375-9601(98)00442-3
J.M. Maillet, V. Terras, N. Kitanine, Correlation functions of the XXZ Heisenberg spin- chain in a magnetic field Nuclear Physics. ,vol. 567, pp. 554- 582 ,(2000) , 10.1016/S0550-3213(99)00619-7