Solution of the local field equations for self-generated glasses

TL;DR

This paper develops a self-consistent local approach based on dynamical mean field theory to analyze self-generated glassiness, successfully solving the Brazovskii-model without approximations and revealing the dependence of glassy states on frustration strength.

Contribution

It introduces a novel local theory for self-generated glasses using a replica approach, applicable to frustrated systems like the Brazovskii-model, and demonstrates its exact solvability.

Findings

Glassy states are generic in the model and not due to perturbative approximations.

The glassy state depends strongly on the frustration strength.

The approach can be applied to a broad class of frustrated systems.

Abstract

We present a self-consistent local approach to self generated glassiness which is based on the concept of the dynamical mean field theory to many body systems. Using a replica approach to self generated glassiness, we map the problem onto an effective local problem which can be solved exactly. Applying the approach to the Brazovskii-model, relevant to a large class of systems with frustrated micro-phase separation, we are able to solve the self-consistent local theory without using additional approximations. We demonstrate that a glassy state found earlier in this model is generic and does not arise from the use of perturbative approximations. In addition we demonstrate that the glassy state depends strongly on the strength of the frustrated phase separation in that model.