title: Approximate calculation of the ground-state energy for Potts spin-glass models.
abstract: We consider the q-state Potts spin-glass model, with quenched couplings taking two different values only. As an approximation for this model a proper generalization of the random energy model is derived. Formulas of the resulting diluted generalized random energy model (DGREM) are applied to calculate the ground-state energy for the two-dimensional Potts spin-glass model. The semianalytical results are compared with numerical determinations of the ground-state energy, using multicanonical, random cost, and simulated annealing techniques.
authors.affiliation: Institut für Theoretische Physik, Universität Leipzig, Augustusplatz 10/11, 04109 Leipzig, Germany.
authors.forename: Elmar
authors.initials: E
authors.lastname: Bittner
authors.forename: Wolfhard
authors.initials: W
authors.lastname: Janke
authors.forename: David B
authors.initials: DB
authors.lastname: Saakian