Weakly localised bosons

TL;DR

This paper investigates the weak localization behavior of bosons in two dimensions, revealing a logarithmic temperature dependence of resistivity linked to vortex diffusion, contrasting with fermionic behavior.

Contribution

It introduces a novel characterization of bosonic weak localization in 2D, connecting resistivity behavior to vortex dynamics near the superconductor-insulator transition.

Findings

Resistivity scales as ln(1/T) for bosons in 2D

Unconventional localization linked to vortex diffusion pole

Contrasts with fermionic lnT behavior

Abstract

In this paper, we argue that, in 2-d, the weak localisation of bosons, which occurs on the insulating side of the superconductor-insulator transition, is characterised by $\rho \sim ln(1/T)$, as compared to $\sigma \sim lnT$ for fermions. Such an unconventional behaviour is tied to the diffusion pole of the delocalised (uncondensed) vortices.