TY - JOUR
T1 - Energy fluctuations at the multicritical point in two-dimensional spin glasses
AU - Nishimori, Hidetoshi
AU - Falvo, Cyril
AU - Ozeki, Yukiyasu
N1 - Copyright:
Copyright 2004 Elsevier Science B.V., Amsterdam. All rights reserved.
PY - 2002/10/4
Y1 - 2002/10/4
N2 - We study the two-dimensional ±J Ising model, three-state Potts model and four-state Potts model by the numerical transfer matrix method to investigate the behaviour of the sample-to-sample fluctuations of the internal energy on the Nishimori line. The result shows a maximum at the multicritical point in all the models we investigated. The large sample-to-sample fluctuations of the internal energy as well as the existence of a singularity in these fluctuations imply that the bond configuration (or, equivalently, the distribution of frustrated plaquettes) may be experiencing a non-trivial change in its behaviour at the multicritical point. This observation is consistent with the picture that the phase transition at the multicritical point is of geometry-induced nature.
AB - We study the two-dimensional ±J Ising model, three-state Potts model and four-state Potts model by the numerical transfer matrix method to investigate the behaviour of the sample-to-sample fluctuations of the internal energy on the Nishimori line. The result shows a maximum at the multicritical point in all the models we investigated. The large sample-to-sample fluctuations of the internal energy as well as the existence of a singularity in these fluctuations imply that the bond configuration (or, equivalently, the distribution of frustrated plaquettes) may be experiencing a non-trivial change in its behaviour at the multicritical point. This observation is consistent with the picture that the phase transition at the multicritical point is of geometry-induced nature.
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U2 - 10.1088/0305-4470/35/39/303
DO - 10.1088/0305-4470/35/39/303
M3 - Article
AN - SCOPUS:0037020046
VL - 35
SP - 8171
EP - 8178
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 39
ER -