Enhancement of long range correlations in a 2D vortex lattice by incommensurate 1D disorder potential

TL;DR

This study demonstrates that incommensurate 1D disorder potential can enhance long-range correlations in a 2D vortex lattice, inducing a two-step order-disorder transition mediated by topological defects, with critical behavior resembling dislocation unbinding melting.

Contribution

First experimental observation that 1D symmetry-breaking disorder enhances long-range correlations and induces a two-step transition in a 2D vortex lattice.

Findings

Incommensurate 1D modulation drives an order-disorder transition.

Transition involves proliferation of topological defects.

Critical exponents align with dislocation unbinding melting theory.

Abstract

Long range correlations in two-dimensional (2D) systems are significantly altered by disorder potentials. Theory has predicted the existence of disorder induced phenomena such as Anderson localization and the emergence of novel glass and insulating phases as the Bose glass. More recently, it has been shown that disorder breaking the 2D continuous symmetry, such as a one dimensional (1D) modulation, can enhance long range correlations. Experimentally, developments in quantum gases have allowed the observation of a wealth of phenomena induced by the competition between interaction and disorder. However, there are no experiments exploring the effect of symmetry-breaking disorder. Here, we create a 2D vortex lattice at 0.1 K in a superconducting thin film with a well-defined 1D thickness modulation and track the field induced modification using scanning tunneling microscopy. We find that the 1D modulation becomes incommensurate to the vortex lattice and drives an order-disorder transition, behaving as a scale-invariant disorder potential. We show that the transition occurs in two steps and is mediated by the proliferation of topological defects. We find that critical exponents determining the loss of positional and orientational order are far above theoretical expectations for scale-invariant disorder and follow instead the critical behaviour which describes dislocation unbinding melting. Our data show for the first time that randomness disorders a 2D crystal, and evidence enhanced long range correlations in presence of a 1D modulation demonstrating the transformation induced by symmetry breaking disorder in interactions and the critical behaviour of the transition.