| Numéro |
J. Phys. I France
Volume 2, Numéro 1, January 1992
|
|
|---|---|---|
| Page(s) | 31 - 39 | |
| DOI | https://doi.org/10.1051/jp1:1992116 | |
DOI: 10.1051/jp1:1992116
J. Phys. I France 2 (1992) 31-39
Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A.
© Les Editions de Physique 1992
J. Phys. I France 2 (1992) 31-39
The Potts spin-glass in a transverse field
Yadin Y. GoldschmidtDepartment of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA 15260, U.S.A.
(Received 23 July 1991, accepted 20 September 1991)
Abstract
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
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.
© Les Editions de Physique 1992