Koshino-Taylor effect in graphene

TL;DR

This paper investigates the Koshino-Taylor effect in graphene, revealing that defect-induced resistivity exhibits a divergence at finite temperatures with a characteristic non-analytic temperature dependence due to the material's two-dimensional nature.

Contribution

It provides a theoretical analysis of the enhanced Koshino-Taylor effect in graphene and predicts a divergence in defect-induced resistivity with a specific temperature dependence.

Findings

Defect-induced resistivity diverges at finite temperatures in graphene.

The divergence has a non-analytic T ln T form.

Two-dimensionality amplifies the Koshino-Taylor effect.

Abstract

We discuss the phonon-assisted scattering of electrons by defects, i.e., the so-called Koshino-Taylor effect, in graphene. The two-dimensional character of graphene implies that the strength of the Koshino-Taylor effect can be considerably larger than in ordinary metals. We show that at finite temperatures the defect-induced resistivity formally diverges in the thermodynamic limit, having a non-analytic $T\ln T$ component when finite size effects are taken into account.