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Evidence of a glass transition in a ten-state non-mean-field Potts glass

Ruben S. Andrist1, Derek Larson2, and Helmut G. Katzgraber1,3

  • 1Theoretische Physik, ETH Zurich, CH-8093 Zurich, Switzerland
  • 2Department of Physics, National Taiwan University, Taipei, Taiwan
  • 3Department of Physics and Astronomy, Texas A&M University, College Station, Texas 77843-4242, USA

Phys. Rev. E 83, 030106(R) – Published 29 March, 2011

DOI: https://doi.org/10.1103/PhysRevE.83.030106

Abstract

Potts glasses are prototype models that have been used to understand the structural glass transition. However, in finite space dimensions a glass transition remains to be detected in the 10-state Potts glass. Using a one-dimensional model with long-range power-law interactions we present evidence that a glass transition below the upper critical dimension can exist for short-range systems at low enough temperatures. Gaining insights into the structural glass transition for short-range systems using spin models is thus potentially possible, yet difficult.

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