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

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.

10 pages, 3 figures

References in corpus (5)

• Dissipation effects on the superconductor-insulator transition in 2-D superconductors
• On the existence of a Bose Metal at T=0
• Direct Mott Insulator-to-Superfluid Transition in the Presence of Disorder
• Finite temperature transport at the superconductor-insulator transition in disordered systems
• Vortex Pinning and the Non-Hermitian Mott Transition

Cited by in corpus (1)

• Amorphous Vortex Glass Phase in Strongly Disordered Superconductors