Langevin dynamics of the Coulomb frustrated ferromagnet: a mode-coupling analysis

TL;DR

This paper analyzes the Langevin dynamics of a Coulomb frustrated ferromagnet using mode-coupling theory, revealing a transition from ergodic to non-ergodic behavior similar to glassy systems.

Contribution

It introduces a mode-coupling analysis for the Coulomb frustrated ferromagnet, demonstrating a transition akin to glass formation and exploring its connection to complex energy landscapes.

Findings

System exhibits a transition from ergodic to non-ergodic behavior.

Transition resembles that in glass-forming liquids and spin glasses.

Highlights the role of complex free-energy landscapes.

Abstract

We study the Langevin dynamics of the soft-spin, continuum version of the Coulomb frustrated Ising ferromagnet. By using the dynamical mode-coupling approximation, supplemented by reasonable approximations for describing the equilibrium static correlation function, and the somewhat improved dynamical self-consistent screening approximation, we find that the system displays a transition from an ergodic to a non-ergodic behavior. This transition is similar to that obtained in the idealized mode-coupling theory of glassforming liquids and in the mean-field generalized spin glasses with one-step replica symmetry breaking. The significance of this result and the relation to the appearance of a complex free-energy landscape are also discussed.