Decay of Correlations in 2D Quantum Systems with Continuous Symmetry

@article{Benassi2016DecayOC,
  title={Decay of Correlations in 2D Quantum Systems with Continuous Symmetry},
  author={Costanza Benassi and J{\"u}rg Fr{\"o}hlich and Daniel Ueltschi},
  journal={Annales Henri Poincar{\'e}},
  year={2016},
  volume={18},
  pages={2831-2847}
}
  • Costanza Benassi, Jürg Fröhlich, Daniel Ueltschi
  • Published 2016
  • Physics, Mathematics
  • Annales Henri Poincaré
  • 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. 

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