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Correlation functions of the open XXZ chain II

Abstract : 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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Contributor : Jean Michel Maillet <>
Submitted on : Sunday, March 23, 2008 - 12:00:00 AM
Last modification on : Tuesday, July 14, 2020 - 11:14:04 AM
Long-term archiving on: : Friday, May 21, 2010 - 12:48:49 AM


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N. Kitanine, Karol Kozlowski, Jean Michel Maillet, G. Niccoli, N. A. Slavnov, et al.. Correlation functions of the open XXZ chain II. Journal of Statistical Mechanics: Theory and Experiment, IOP Publishing, 2008, 2008 (07), pp.P07010. ⟨10.1088/1742-5468/2008/07/P07010⟩. ⟨ensl-00266467⟩