Evidence of a one-step replica symmetry breaking in a three-dimensional Potts glass model

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Takashi Takahashi, K Hukushima

Abstract

We study a seven-state Potts glass model in three dimensions with first-, second-, and third-nearest-neighbor interactions with a bimodal distribution of couplings by Monte Carlo simulations. Our results show the existence of a spin-glass transition at a finite temperature T(c), a discontinuous jump of an order parameter at T(c) without latent heat, and a nontrivial structure in the order parameter distribution below T(c). They are compatible with one-step replica symmetry breaking.

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Citations

Feb 23, 2017·Proceedings of the National Academy of Sciences of the United States of America·Maria Chiara Angelini, Giulio Biroli
Aug 28, 2020·Physical Review Letters·Yoshihiko Nishikawa, Koji Hukushima
Aug 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Kenji Harada

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