Correlation functions of the open XXZ chain II

Details Correlation functions of the open XXZ chain II Correlation functions of the open XXZ chain II

2008-03-23

arxiv.org/abs/0803.3305v1

Journal of Statistical Mechanics: Theory and Experiment 07, 2008 (2008) P07010

Physics

High Energy Physics

High Energy Physics - Theory

38 pages

Scientific paper

10.1088/1742-5468/2008/07/P07010

We derive compact multiple integral formulas for several physical spin correlation functions in the semi-infinite XXZ chain with a longitudinal boundary magnetic field. Our formulas follow from several effective re-summations of the multiple integral representation for the elementary blocks obtained in our previous article (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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