Kibble-Zurek mechanism in colloidal monolayers

TL;DR

This study demonstrates the Kibble-Zurek mechanism in a colloidal monolayer system, showing how defect formation scales with cooling rate during a continuous phase transition, aligning with theoretical predictions.

Contribution

It provides experimental evidence of the Kibble-Zurek mechanism in a condensed matter system undergoing KTHNY-like melting.

Findings

Defect density scales with cooling rate as predicted by Kibble-Zurek theory.

Observed defect structures match theoretical scaling laws.

The results confirm the universality of the mechanism in 2D melting transitions.

Abstract

The Kibble-Zurek mechanism describes the evolution of topological defect structures like domain walls, strings, and monopoles when a system is driven through a second order phase transition. The model is used on very different scales like the Higgs field in the early universe or quantum fluids in condensed matter systems. A defect structure naturally arises during cooling if separated regions are too far apart to `communicate' (e.g. about their orientation or phase) due to finite signal velocity. This results in separated domains with different (degenerated) locally broken symmetry. Within this picture we investigate the non-equilibrium dynamics in a condensed matter analogue, a two-dimensional ensemble of colloidal particles. In equilibrium it obeys the so called Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) melting scenario with continuous (second-order like) phase transitions. The ensemble is exposed to a set of finite cooling rates covering roughly three orders of magnitude. Along this process, we analyze the defect and domain structure quantitatively via video microscopy and determine the scaling of the corresponding length scales as a function of the cooling rate. We indeed observe the scaling predicted by the Kibble-Zurek mechanism for the KTHNY universality class.