Quantum critical phenomena of long-range interacting bosons in a time-dependent random potential

TL;DR

This paper investigates the superfluid-insulator transition in long-range interacting bosons under a time-dependent random potential, revealing a new stable fixed point and contrasting behaviors with non-random cases.

Contribution

It introduces a novel fixed point in the phase transition of long-range bosons with disorder, highlighting the effects of asymptotically logarithmic interactions.

Findings

Discovery of a new stable fixed point with non-zero interaction and disorder parameters.

Contrasts with non-random logarithmic interaction case where transition is first-order.

Relevance to vortex transitions in disordered type-II superconductors.

Abstract

We study the superfluid-insulator transition of a particle-hole symmetric system of long-range interacting bosons in a time-dependent random potential in two dimensions, using the momentum-shell renormalization-group method. We find a new stable fixed point with non-zero values of the parameters representing the short- and long-range interactions and disorder when the interaction is asymptotically logarithmic. This is contrasted to the non-random case with a logarithmic interaction, where the transition is argued to be first-order, and to the $1/r$ Coulomb interaction case, where either a first-order transition or an XY-like transition is possible depending on the parameters. We propose that our model may be relevant in studying the vortex liquid-vortex glass transition of interacting vortex lines in point-disordered type-II superconductors.