Resistivity of the two-dimensional Bose-Hubbard model at weak coupling

TL;DR

This paper investigates the resistivity behavior of the 2D Bose-Hubbard model at weak coupling, revealing temperature-dependent resistivity patterns and analyzing how density influences momentum relaxation.

Contribution

It provides the first detailed calculation of weak-coupling resistivity in the 2D Bose-Hubbard model, comparing it with fermionic systems and exploring temperature and density effects.

Findings

Resistivity is linear in temperature at high T.

Resistivity is exponentially suppressed at low T.

Density affects the momentum relaxation rate.

Abstract

We calculate the weak-coupling resistivity of the two-dimensional Bose Hubbard model, comparing with the more familiar fermionic case. At high temperature the resistivity is linear in $T$, while in the low temperature normal state it is exponentially suppressed. We explore the density dependence and calculate the momentum relaxation rate.