J. Phys. I France
Volume 2, Numéro 1, January 1992
Page(s) 31 - 39
DOI: 10.1051/jp1:1992116
J. Phys. I France 2 (1992) 31-39

The Potts spin-glass in a transverse field

Yadin Y. Goldschmidt

Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A.

(Received 23 July 1991, accepted 20 September 1991)

In this paper we derive an expression for the free energy of the infinite ranged quantum Potts spin-glass in a transverse field using the replica method and the Suzuky-Trotter formula. Results are obtained for general p (number of Potts states) and explicit calculations are done for p=3 using exact spin summations for $M\le 8$ where M is the size of the lattice in the Trotter direction. The phase diagram is obtained and is also compared with results for the static approximation which is non trivial even in the paramagnetic phase.

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