Correlation functions of the open X X Z chain:: II

被引：41
|
作者：
Kitanine, N. [1 ,2 ]
Kozlowski, K. K. [2 ,3 ]
Maillet, J. M. [2 ,3 ]
Niccoli, G. [4 ]
Slavnov, N. A. [5 ]
Terras, V. [2 ,3 ]
机构：
[1] Univ Cergy Pontoise, LPTM, Cergy Pontoise, France
[2] CNRS, F-75700 Paris, France
[3] ENS Lyon, Phys Lab, Lyon, France
[4] DESY, Theory Grp, D-2000 Hamburg, Germany
[5] VA Steklov Math Inst, Moscow 117333, Russia
来源：
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2008年
关键词：
correlation functions; integrable spin chains (vertex models); quantum integrability (Bethe ansatz); spin chains; ladders and planes (theory);
D O I：
10.1088/1742-5468/2008/07/P07010
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
We derive compact multiple integral formulae for several physical spin correlation functions in the semi-infinite XXZ chain with a longitudinal boundary magnetic field. Our formulae follow from several effective resummations of the multiple integral representation for the elementary blocks obtained in our previous paper (I). In the free fermion point we compute the local magnetization as well as the density of energy profiles. These quantities, in addition to their bulk behavior, exhibit Friedel-type oscillations induced by the boundary; their amplitudes depend on the boundary magnetic field and decay algebraically in terms of the distance to the boundary.
引用
收藏
页数：33
相关论文
共 50 条
  • [31] OPTICAL CORRELATION OF FUNCTIONS DISTORTED AS F(X')=F(XALPHA)
    PSALTIS, D
    CASASENT, D
    OPTICS COMMUNICATIONS, 1977, 21 (02) : 307 - 310
  • [32] Correlation of multiplicative functions over Fq[x]: A pretentious approach
    Darbar, Pranendu
    Mukhopadhyay, Anirban
    MATHEMATIKA, 2024, 70 (01)
  • [33] On the exponential diophantine equation x y + y x = z z
    Du, Xiaoying
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2017, 67 (03) : 645 - 653
  • [34] Rings with (x, y, z) - (z, y, x) in the right nucleus
    Jayalakshmi, K.
    Nageswari, G.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2015, 8 (02)
  • [35] EP elements of Z[x]/(x2+x)
    Cao, Liufeng
    You, Lan
    Wei, Junchao
    FILOMAT, 2023, 37 (22) : 7467 - 7478
  • [36] Z/p x Z/p actions on Sn x Sn
    Fowler, Jim
    Thatcher, Courtney
    ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2024, 24 (04):
  • [37] Magnetothermal properties of the Heisenberg-Ising orthogonal-dimer chain with triangular X X Z clusters
    Ohanyan, Vadim
    Honecker, Andreas
    PHYSICAL REVIEW B, 2012, 86 (05)
  • [38] Emptiness formation probability of the X X Z spin-1/2 Heisenberg chain at Δ = 1/2
    Kitanine, N
    Maillet, JM
    Slavnov, NA
    Terras, V
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2002, 35 (27): : L385 - L388
  • [39] Exotic criticality in the dimerized spin-1 X X Z chain with single-ion anisotropy
    Ejima, Satoshi
    Yamaguchi, Tomoki
    Essler, Fabian H. L.
    Lange, Florian
    Ohta, Yukinori
    Fehske, Holger
    SCIPOST PHYSICS, 2018, 5 (06):
  • [40] Dyson-Maleev theory of an X X Z ferrimagnetic spin chain with single-ion anisotropy
    Chen, Yu-Ge
    Li, Yin-Xiang
    Tian, Li-Jun
    Chen, Bin
    CHINESE PHYSICS B, 2018, 27 (12)
12345