A Heisenberg spin glass with local uniaxial anisotropy is studied at mean field level in terms of a Parisi symmetry breaking scheme. It is shown that replica symmetry breaking leads to important modifications to the replica symmetric expressions for the susceptibilities chi T , chi L which signal the transitions in this system.

Journal of Physics A Mathematical and GeneralAug 1, 198235 citations

Acta Physica Sinica

THREE-DIMENSIONAL QUANTUM SPIN GLASS THEORY(Ⅲ) ──REPLICA SYMMETRY BREAKING SOLUTION

Yi Lin, K.L. Yao, 华中理工大学物理系,中国高等科学技术中心

Published Jan 1, 1996• 2 citations

Publisher

Abstract

DOI: 10.7498/aps.45.133

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Journal of Physics A Mathematical and GeneralAug 1, 198235 citations

Parisi's replica-symmetry-breaking scheme is applied to the quantum Sherrington-Kirkpatrick Ising spin glass in a transverse magnetic field. The order-parameter function q(x) is calculated near

{\mathit{T}}_{\mathit{f}}

, while for all temperatures the first stage of replica-symmetry breaking is calculated. Internal energy, entropy, and magnetic susceptibility are calculated in order to investigate the quality of both the replica-symmetric and the replica-symmetry-broken theories.