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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Contributeur : Jean Michel Maillet <>
Soumis le : dimanche 23 mars 2008 - 00:00:00
Dernière modification le : jeudi 19 avril 2018 - 14:54:03
Document(s) archivé(s) le : vendredi 21 mai 2010 - 00:48:49


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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 Science, 2008, 2008 (07), pp.P07010. 〈10.1088/1742-5468/2008/07/P07010〉. 〈ensl-00266467〉



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