Absence of Replica Symmetry Breaking in the Random Field Mixed-Spin Ginzburg-Landau Model

Abstract

In this paper, an extension of the random field Ginzburg-Landau model on the hypercubic lattice is considered by adding $p$-spin ($p⩾2$) interactions coupled to general disorders. This new model is called the random field mixed-spin Ginzburg-Landau model. We proved that, in the infinite volume limit of this model, the variance of spin overlap vanishes.

14 pages

References in corpus (2)

• Absence of replica symmetry breaking in the random field Ising model
• No spin glass phase in ferromagnetic random-field random-temperature scalar Ginzburg-Landau model