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Yokota, Terufumi
Physics Letters A, 344(2-4), p.211 - 219, 2005/09
Times Cited Count：0 Percentile：0.01(Physics, Multidisciplinary)The infinite-range 
-state Potts glass model is studied in the presence of a field. Stability of the replica symmetric solution for the longitudinal order parameter is investigated. Instability appears at higher temperature than the transverse freezing temperature for 
. Replica symmetry breaking pattern is obtained.
Yokota, Terufumi
Progress of Theoretical Physics Supplement, (157), p.90 - 93, 2005/06
The mean-field p-state Potts glass model is studied in the presence of a field. As effective ferromagnetic interaction in the Potts glass model grows as temperature decreases, uniform part of the interaction is set to make effective ferromagnetic interaction zero at the continuous glass transition temperature without field. Replica symmetry breaking pattern is obtained analytically near the freezing of the transverse components for small fields. Replica symmetry breaking is continuous for p
3.4, which is similar to the symmetry breaking for the Ising spin glass model. One step replica symmetry breaking is stable for 4.6
p3.4. The transition to the transverse freezing phase is discontinuous for p4.6. This threshold is larger than 4 that is the threshold for the zero field case. These results show that qualitative feature of the transition in a field is similar to that without field if the number of the Potts components is shifted accordingly.
Yokota, Terufumi
Physical Review B, 70(17), p.174422_1 - 174422_14, 2004/11
Times Cited Count：2 Percentile：13.76(Materials Science, Multidisciplinary)Phase transitions in the infinite-range p-state Potts glass model is studied in the presence of a field. Phase transition line into the transverse ordered phase is a straight line in a field-temperature phase diagram for small field and small effective ferromagnetic interaction. This is in contrast with the Gabay-Toulouse line for the vector spin-glass model. Replica symmetry breaking pattern is discussed near the phase transition line. Replica symmetry for the longitudinal order parameter is weakly broken at higher temperature than the transition line to the transverse ordered phase for p3.2. For p4.6, the transition to the transverse ordered phase reveals discontinuity in the order parameter just as the p4 case without a field.
Physical Review B, 51(2), p.962 - 971, 1995/01
Times Cited Count：5 Percentile：36.66(Materials Science, Multidisciplinary)no abstracts in English
