First-order phase transitions in the Potts model with trilinear symmetry breaking

1983 ◽  
Vol 27 (11) ◽  
pp. 6941-6953 ◽  
Author(s):  
W. K. Theumann
Keyword(s):  
Phase Transitions ◽  
Symmetry Breaking ◽  
Potts Model ◽  
First Order ◽  
First Order Phase

scholarly journals Microcanonical thermodynamics of first order phase transitions studied in the potts model

2010 ◽  
Vol 508 (5) ◽  
pp. 446-452 ◽  
Author(s):  
D. H. E. Gross ◽  
A. Ecker ◽  
X. Z. Zhang
Keyword(s):  
Phase Transitions ◽  
Potts Model ◽  
First Order ◽  
First Order Phase

scholarly journals Cluster dynamics for first-order phase transitions in the Potts model

1993 ◽  
Vol 47 (17) ◽  
pp. 11563-11566 ◽  
Author(s):  
Werner Kerler ◽  
Andreas Weber
Keyword(s):  
Phase Transitions ◽  
Potts Model ◽  
First Order ◽  
First Order Phase

First order phase transitions and the three state Potts model

1979 ◽  
Vol 50 (B11) ◽  
pp. 7382 ◽  
Author(s):  
H. W. J. Blöte ◽  
R. H. Swendsen
Keyword(s):  
Phase Transitions ◽  
Potts Model ◽  
First Order ◽  
First Order Phase

scholarly journals Cascade of phase transitions in a planar Dirac material

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Takuya Kanazawa ◽  
Mario Kieburg ◽  
Jacobus J.M. Verbaarschot
Keyword(s):  
Phase Diagram ◽  
Phase Transitions ◽  
Symmetry Breaking ◽  
Ground State ◽  
Chemical Potential ◽  
Three Dimensional ◽  
Dirac Fermions ◽  
First Order ◽  
First Order Phase ◽  
Parity Breaking

Abstract We investigate a model of interacting Dirac fermions in 2 + 1 dimensions with M flavors and N colors having the U(M)×SU(N ) symmetry. In the large-N limit, we find that the U(M) symmetry is spontaneously broken in a variety of ways. In the vacuum, when the parity-breaking flavor-singlet mass is varied, the ground state undergoes a sequence of M first-order phase transitions, experiencing M + 1 phases characterized by symmetry breaking U(M)→U(M − k)×U(k) with k ∈ {0, 1, 2, · · · , M}, bearing a close resemblance to the vacuum structure of three-dimensional QCD. At finite temperature and chemical potential, a rich phase diagram with first and second-order phase transitions and tricritical points is observed. Also exotic phases with spontaneous symmetry breaking of the form as U(3)→U(1)3, U(4)→U(2)×U(1)2, and U(5)→U(2)2×U(1) exist. For a large flavor-singlet mass, the increase of the chemical potential μ brings about M consecutive first-order transitions that separate the low-μ phase diagram with vanishing fermion density from the high-μ region with a high fermion density.

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