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Communications in Mathematical Physics

, Volume 224, Issue 1, pp 33–63 | Cite as

Quantum Lattice Models at Intermediate Temperature

  • J. Fröhlich
  • L. Rey-Bellet
  • D. Ueltschi
Article

Abstract:

We analyze the free energy and construct the Gibbs-KMS states for a class of quantum lattice systems, at low temperature and when the interactions are almost diagonal, in a suitable basis. The models we study may have continuous symmetries, our results, however, apply to intermediate temperatures where discrete symmetries are broken but continuous symmetries are not. Our results are based on quantum Pirogov–Sinai theory and a combination of high and low temperature expansions.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • J. Fröhlich
    • 1
  • L. Rey-Bellet
    • 2
  • D. Ueltschi
    • 3
  1. 1.Institut für Theoretische Physik, ETH HönggerbergZürichSwitzerland
  2. 2.Department of Mathematics, University of VirginiaCharlottesvilleUSA
  3. 3.Department of Physics, Princeton University, Jadwin HallPrincetonUSA

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