Communications in Mathematical Physics

, Volume 126, Issue 3, pp 453–467

Uniqueness of the translationally invariant ground state in quantum spin systems

  • T. Matsui

DOI: 10.1007/BF02125695

Cite this article as:
Matsui, T. Commun.Math. Phys. (1990) 126: 453. doi:10.1007/BF02125695


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.

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