Chiaki Yamaguchi and Yutaka Okabe 2001 J. Phys. A: Math. Gen. 34 8781 doi:10.1088/0305-4470/34/42/305
Chiaki Yamaguchi and Yutaka Okabe
Show affiliationsWe apply a newly proposed Monte Carlo method, the Wang-Landau algorithm, to the study of the three-dimensional antiferromagnetic q-state Potts models on a simple cubic lattice. We systematically study the phase transition of the models with q = 3, 4, 5 and 6. We obtain the finite-temperature phase transition for q = 3 and 4, whereas the transition temperature is down to zero for q = 5. For q = 6 there exists no order for any temperature. We also study the ground-state properties. The size dependence of the ground-state entropy is investigated. We find that the ground-state entropy is larger than the contribution from the typical configurations of the broken-sublattice-symmetry state for q = 3. The same situations are found for q = 4, 5 and 6.
75.10.Hk Classical spin models
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
75.30.Kz Magnetic phase boundaries (including magnetic transitions, metamagnetism, etc.)
82B80 Numerical methods (Monte Carlo, series resummation, etc.) (See also 65-XX, 81T80)
82B26 Phase transitions (general)
82B30 Statistical thermodynamics (See also 80-XX)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
Issue 42 (26 October 2001)
Received 22 May 2001, in final form 28 August 2001
Published 12 October 2001
Chiaki Yamaguchi and Yutaka Okabe 2001 J. Phys. A: Math. Gen. 34 8781
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S J Fletcher and A W C Lun 2003 Class. Quantum Grav. 20 4153
K Wette et al 2008 Class. Quantum Grav. 25 235011
Yoichi Aso et al 2009 Class. Quantum Grav. 26 055010
B. Abbott et al. 2008 ApJ 681 1419
J E Hansen 2007 Environ. Res. Lett. 2 024002
Taro Sato et al. 2009 ApJ 696 214