INTEGRO-DIFFERENCE EQUATION FOR A CORRELATION-FUNCTION OF THE SPIN-1/2 HEISENBERG XXZ CHAIN

被引:16
|
作者
ESSLER, FHL
FRAHM, H
ITS, AR
KOREPIN, VE
机构
[1] UNIV HANNOVER, INST THEORET PHYS, D-30167 HANNOVER, GERMANY
[2] INDIANA UNIV PURDUE UNIV, DEPT MATH SCI, INDIANAPOLIS, IN 46202 USA
[3] SUNY STONY BROOK, INST THEORET PHYS, STONY BROOK, NY 11794 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/0550-3213(95)00263-R
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We consider the Ferromagnetic-String-Formation-Probability correlation function (FSFP) for the spin-1/2 Heisenberg XXZ chain. We construct a completely integrable system of integro- difference equations (IDE), which has the FSFP as a tau-function. We derive the associated Riemann-Hilbert problem and obtain the long-distance asymptotics of the FSFP correlator in some limiting cases.
引用
收藏
页码:448 / 460
页数:13
相关论文
共 50 条
  • [31] The propagator of the finite XXZ spin-1/2 chain
    Feher, Gyorgy Z.
    Pozsgay, Balazs
    SCIPOST PHYSICS, 2019, 6 (05):
  • [32] Bloch oscillations in the spin-1/2 XXZ chain
    Liu, Yankang
    Fuji, Yohei
    Watanabe, Haruki
    PHYSICAL REVIEW B, 2021, 104 (20)
  • [33] Level statistics for the gapped spin-1/2 XXZ Heisenberg chains
    Liu, YC
    Sun, LQ
    Dai, JH
    Qin, SJ
    MODERN PHYSICS LETTERS B, 2000, 14 (29): : 1015 - 1023
  • [34] Spin-spin correlation functions of the XXZ-1/2 Heisenberg chain in a magnetic field
    Kitanine, N
    Maillet, JM
    Slavnov, NA
    Terras, V
    NUCLEAR PHYSICS B, 2002, 641 (03) : 487 - 518
  • [35] Electrocaloric effect in the two spin-1/2 XXZ Heisenberg edge-shared tetrahedra and spin-1/2 XXZ Heisenberg octahedron with Dzyaloshinskii-Moriya interaction
    Zad, Hamid Arian
    Sabeti, Moones
    Zoshki, Azam
    Ananikian, Nerses
    JOURNAL OF PHYSICS-CONDENSED MATTER, 2019, 31 (42)
  • [36] Quantum correlations in the spin-1/2 Heisenberg XXZ chain with modulated Dzyaloshinskii-Moriya interaction
    Fumani, F. Khastehdel
    Beradze, B.
    Nemati, S.
    Mahdavifar, S.
    Japaridze, G. I.
    JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2021, 518
  • [37] Correlation functions of the spin-1/2 antiferrornagnetic Heisenberg chain: Exact calculation via the generating function
    Sato, J
    Shiroishi, M
    Takahashi, M
    NUCLEAR PHYSICS B, 2005, 729 (03) : 441 - 466
  • [38] EFFECT OF SPIN-1/2 IMPURITY ON SPIN-1 ANTIFERROMAGNETIC HEISENBERG CHAIN
    KABURAGI, M
    TONEGAWA, T
    JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1994, 63 (02) : 420 - 424
  • [39] Comparing quantum fluctuations in the spin-1 2 and spin-1 XXZ Heisenberg models on the square and honeycomb lattices
    Kadosawa, Masahiro
    Nakamura, Masaaki
    Ohta, Yukinori
    Nishimoto, Satoshi
    PHYSICAL REVIEW B, 2024, 110 (13)
  • [40] Edge magnetic field in the xxz spin-1/2 chain
    Affleck, I
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (12): : 2761 - 2766