Quantum spin correlations and random loops

2014/04/06 by Ueltschi, Daniel
#60K35 #82B10 #82B20 #82B26 #82B31 #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1404.1595

Abstract

We review the random loop representations of Toth and Aizenman-Nachtergaele for quantum Heisenberg models. They can be combined and extended so as to include the quantum XY model and certain SU(2)-invariant spin 1 systems. We explain the calculations of correlation functions.

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