Patterned Geometries and Hydrodynamics at the Vortex Bose Glass Transition

TL;DR

This paper combines inhomogeneous Bose glass scaling theory with hydrodynamics to analyze vortex liquid behavior in patterned cuprate superconductors, predicting a divergence in shear viscosity at the Bose glass transition.

Contribution

It introduces a novel approach integrating scaling theory and hydrodynamics to study vortex liquids near the Bose glass transition.

Findings

Shear viscosity diverges as |T - T_BG|^{-z} with z approximately 6.

Provides a method to infer critical behavior from controlled geometries.

Connects experimental design with theoretical predictions of vortex matter.

Abstract

Patterned irradiation of cuprate superconductors with columnar defects allows a new generation of experiments which can probe the properties of vortex liquids by confining them to controlled geometries. Here we show that an analysis of such experiments that combines an inhomogeneous Bose glass scaling theory with the hydrodynamic description of viscous flow of vortex liquids can be used to infer the critical behavior near the Bose glass transition. The shear viscosity is predicted to diverge as $|T-T_{BG}|^{-z}$ at the Bose glass transition, with $z\simeq 6$ the dynamical critical exponent.