Communications in Mathematical Physics

, Volume 126, Issue 3, pp 453–467 | Cite as

Uniqueness of the translationally invariant ground state in quantum spin systems

  • T. Matsui
Article

Abstract

We introduce a class of quantum spin systems on ℤd. We show that the translationally invariant ground state is unique for this system if it is in a strong external field.

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References

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    Kirkwood, J. R., Thomas, L.: Expansions and phase transitions for ground states of quantum Ising lattice systems. Commun. Math. Phys.88, 569–580 (1983)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1990

Authors and Affiliations

  • T. Matsui
    • 1
  1. 1.Department of Mathematics and Computer ScienceUniversity College of Swansea, Singleton ParkSwanseaWales, UK

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