Decay of transverse correlations in quantum Heisenberg models
Journal article, 2015

We study a class of quantum spin systems that include the S = 1/2 Heisenberg and XY-models and prove that two-point correlations exhibit exponential decay in the presence of a transverse magnetic field. The field is not necessarily constant, it may be random, and it points in the same direction. Our proof is entirely probabilistic and it relies on a random loop representations of the correlation functions, on stochastic domination and on first-passage percolation.


Heisenberg models


Magnetic fields


Jakob Björnberg

Chalmers, Mathematical Sciences, Mathematical Statistics

University of Gothenburg

D. Ueltschi

Journal of Mathematical Physics

0022-2488 (ISSN) 1089-7658 (eISSN)

Vol. 56 4 artikel nr 043303 - 043303

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