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.
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Communicated by Vieri Mastropietro.
© 2017 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes.
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Benassi, C., Fröhlich, J. & Ueltschi, D. Decay of Correlations in 2D Quantum Systems with Continuous Symmetry. Ann. Henri Poincaré 18, 2831–2847 (2017). https://doi.org/10.1007/s00023-017-0571-4
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DOI: https://doi.org/10.1007/s00023-017-0571-4