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Decay of correlations in 2D quantum systems with continuous symmetry

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Benassi, Costanza, Fröhlich, Jürg and Ueltschi, Daniel (2017) Decay of correlations in 2D quantum systems with continuous symmetry. Annales Henri Poincare, 18 (9). pp. 2831-2847. doi:10.1007/s00023-017-0571-4

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Official URL: http://dx.doi.org/10.1007/s00023-017-0571-4

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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.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Library of Congress Subject Headings (LCSH): Quantum systems
Journal or Publication Title: Annales Henri Poincare
Publisher: Springer Basel AG
ISSN: 1424-0637
Official Date: September 2017
Dates:
DateEvent
September 2017Published
8 April 2017Available
15 March 2017Accepted
Volume: 18
Number: 9
Page Range: pp. 2831-2847
DOI: 10.1007/s00023-017-0571-4
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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