Spherical Random-Field Systems with Long-Range Interactions: General Results and Application to the Coulomb Glass

Abstract

A classical spherical random-field Hamiltonian with long-range (power-law) interactions is investigated by means of the replica theory. Both ferromagnetic and anti-ferromagnetic interactions are considered. The use of continuous variables instead of Ising variables in the spherical version of the model allows one to calculate the free energy exactly. The existence of an equilibrium phase transition is investigated based on the replica-symmetric solution. The results are applied to the Coulomb-glass model of interacting localized electrons in a disordered solid. This model is shown not to have an equilibrium phase transition for spatial dimensions D4 the model has a phase transition to an ordered phase; however, it does not have a phase transition to a 'glassy' phase.

Department(s)

Physics

International Standard Serial Number (ISSN)

0305-4470

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 1993 Institute of Physics - IOP Publishing, All rights reserved.

Publication Date

01 Jan 1993

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