Eur. Phys. J. B 37, 187-192 (2004)
https://doi.org/10.1140/epjb/e2004-00045-9

Modulated replica symmetry breaking schemes for antiferrimagnetic spin glasses

¹ Institute for Theoretical Physics, University of Würzburg, 97074 Würzburg, Germany
² Department of Physics, University of Oxford, Keble Road, Oxford OX1 3NP, UK

Corresponding author: ^a Oppermann@physik.uni-wuerzburg.de

Received: 5 July 2003
Revised: 11 December 2003
Published online: 15 March 2004

Abstract

We define modulated replica symmetry breaking (RSB) schemes which combine tree- and wave-like structures. A modulated scheme and unmodulated RSB are evaluated at 1-step level for a semiconductor model with antiferromagnetic Korenblit-Shender interaction. By comparison of the free energies we find evidence that a T=0 phase transition in the ferrimagnetic phase leads to a transition between the different RSB-schemes. An embedding factor of Parisi block matrices with sublattice-asymmetrical size is employed as a new variational parameter in the modulated scheme.