Eur. Phys. J. B 7, 283-291 (1999)
https://doi.org/10.1007/s100510050615

High-temperature series analysis of the p-state Potts glass model on d-dimensional hypercubic lattices

Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudinger Weg 7, 55099 Mainz, Germany

Received: 25 May 1998
Accepted: 11 August 1998
Published online: 15 January 1999

Abstract

We analyze recently extended high-temperature series expansions for the "Edwards-Anderson" spin-glass susceptibility of the p-state Potts glass model on d-dimensional hypercubic lattices for the case of a symmetric bimodal distribution of ferro- and antiferromagnetic nearest-neighbor couplings . In these star-graph expansions up to order 22 in the inverse temperature , the number of Potts states p and the dimension d are kept as free parameters which can take any value. By applying several series analysis techniques to the new series expansions, this enabled us to determine the critical coupling K_c and the critical exponent γ of the spin-glass susceptibility in a large region of the two-dimensional (p,d)-parameter space. We discuss the thus obtained information with emphasis on the lower and upper critical dimensions of the model and present a careful comparison with previous estimates for special values of p and d.