Article

Communications in Mathematical Physics

, Volume 84, Issue 1, pp 87-101

First online:

The phase transition in the one-dimensional Ising Model with 1/r 2 interaction energy

  • Jürg FröhlichAffiliated withInstitut des Hautes Etudes Scientifiques
  • , Thomas SpencerAffiliated withCourant Institute of Mathematical Sciences, New York University

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Abstract

We prove the existence of a spontaneous magnetization at low temperature for the one-dimensional Ising Model with 1/r 2 interaction energy.