Exactly solvable model of inergodic spin glass

Abstract

A mean-field model of Ising spin glass with the Hamiltonian being a sum of the infinite-range ferromagnetic and random antiferromagnetic interactions is studied. It is shown that this model has phase transition in external magnetic field into inergodic spin glass phase with a number of metastable states. The thermodynamic properties of metastable states are studied at T=0 and near the transition. The relations between the characteristics of slow nonequilibrium processes in spin glass phase (such as hysteresis loop form, thermo-remanent and isothermal remanent magnetizations, field-cooled and zero-field-cooled thermodynamic quantities) and thermodynamic parameters of metastable states are established.