arXiv:1612.02478 · Annales Henri Poincaré

Decay of Correlations in 2D Quantum Systems with Continuous Symmetry

Costanza Benassi, Jürg Martin Fröhlich, Daniel Ueltschi

Published Apr 8, 2017• 10 citations

Abstract

We study a large class of models of two-dimensional quantum lattice systems with continuous symmetries, and we prove a general McBryan–Spencer–Koma–Tasaki theorem concerning algebraic decay of correlations. We present applications of our main result to the Heisenberg, Hubbard, and t - J models, and to certain models of random loops.

DOI: 10.1007/s00023-017-0571-4

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