Replica symmetric solutions of random field tunneling model for proton glasses

Abstract

We investigate for the replica-symmetric solutions of the tunneling model proton glass with longitudinal random field of Gaussian distribution. From the replica-symmetric solutions we obtain phase diagrams for each random field distribution, especially the de Almeida-Thouless stability lines in the temperature (T)-average interaction strength (J(0)) plane and also in the temperature (T)-external longitudinal field (H) plane.