Energy distributions in the metastable states of spin glasses are studied for two-component spin systems in the limit of infinitely long-ranged exchange interactions. To determine how fundamental properties change by spin symmetry, the Edwards-Anderson model is extended to the vector Potts model, each spin of which can take only n directions in a plane. The authors' theory includes both n=2 (Ising model) and n to infinity limit (XY model). The upper limit of the average ground-state energy per spin is evaluated to be -0.594 J for the XY model. The internal magnetic field distribution P(h) is also studied. For n>or=3, its small h behaviour is found to be quite different from that of the Ising model.
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
- Metals and Alloys