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Phase transitions in the Potts spin-glass model
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Abstract
We have studied the Potts spin glass with two-state Ising spins and
s
-state Potts variables using a cluster Monte Carlo dynamics. The model recovers the
±
J
Ising spin glass (SG) for
s
=
1
and exhibits for all
s
a SG transition at
T
SG
(
s
)
and a percolation transition at higher temperature
T
p
(
s
)
.
We have shown that for all values of
s
≠
1
at
T
p
(
s
)
there is a thermodynamic transition in the universality class of a ferromagnetic
s
-state Potts model. The efficiency of the cluster dynamics is compared with that of standard spin-flip dynamics.
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FRANZESE, Giancarlo and CONIGLIO, Antonio. Phase transitions in the Potts spin-glass model. Physical Review E. 1998. Vol. 58, num. 3, pags. 2753-2759. ISSN 1063-651X. [consulted: 17 of October of 2026]. Available at: https://hdl.handle.net/2445/18873