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.
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收藏
页数：33
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