Decay of Correlations in 2D Quantum Systems with Continuous Symmetry

Costanza Benassi; Jürg  Fröhlich; Daniel Ueltschi

doi:10.1007/s00023-017-0571-4

Decay of Correlations in 2D Quantum Systems with Continuous Symmetry

Costanza Benassi, Jürg Fröhlich, Daniel Ueltschi

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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.

Original language	English
Pages (from-to)	2831–2847
Number of pages	17
Journal	Annales Henri Poincare
Volume	18
Issue number	9
Early online date	8 Apr 2017
DOIs	https://doi.org/10.1007/s00023-017-0571-4
Publication status	Published - 2017

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Benassi et al - Decay of Correlations in 2D Quantum Systems with Continuous Symmetry OAFinal published version, 607 KBLicence: CC BY

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title = "Decay of Correlations in 2D Quantum Systems with Continuous Symmetry",

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.",

author = "Costanza Benassi and J{\"u}rg Fr{\"o}hlich and Daniel Ueltschi",

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T1 - Decay of Correlations in 2D Quantum Systems with Continuous Symmetry

AU - Benassi, Costanza

AU - Fröhlich, Jürg

AU - Ueltschi, Daniel

PY - 2017

Y1 - 2017

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85017108894

U2 - 10.1007/s00023-017-0571-4

DO - 10.1007/s00023-017-0571-4

M3 - Article

SN - 1424-0637

VL - 18

SP - 2831

EP - 2847

JO - Annales Henri Poincare

JF - Annales Henri Poincare

IS - 9

ER -

Decay of Correlations in 2D Quantum Systems with Continuous Symmetry

Abstract

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