Dynamical Transitions of a Driven Ising Interface

TL;DR

This paper investigates the dynamical behavior of a three-dimensional Ising interface under a moving non-uniform external field, revealing transitions from pinned to depinned states with distinct scaling properties.

Contribution

It introduces a detailed analysis of interface transitions driven by a non-uniform field, highlighting the shift from pinned to depinned regimes and associated scaling behaviors.

Findings

Pinned interface moves with the field at low velocities.

Series of commensurate-incommensurate transitions observed.

Interface exhibits KPZ scaling at high velocities.

Abstract

We study the structure of an interface in a three dimensional Ising system created by an external non-uniform field $H({\bf r},t)$. $H$ changes sign over a two dimensional plane of arbitrary orientation. When the field is pulled with velocity ${\bf v}_e$, (i.e. $H({\bf r},t) = H({\bf r - v_e}t)$), the interface undergoes a several dynamical transitions. For low velocities it is pinned by the field profile and moves along with it, the distribution of local slopes undergoing a series of commensurate-incommensurate transitions. For large ${\bf v}_e$ the interface de-pinns and grows with KPZ exponents.