# Relationship between conductance fluctuation and weak localization in graphene

## TL;DR

This paper explores the connection between conductance fluctuations and weak localization in graphene, providing experimental evidence and analyzing scattering lengths related to magnetic flux effects.

## Contribution

It demonstrates a direct relationship between conductance fluctuation ratios and weak localization theory in graphene, with analysis of scattering lengths via Fourier methods.

## Key findings

- The ratio of elastic intervalley to inelastic dephasing times varies with conductance fluctuation.
- A series of scattering lengths related to magnetic flux phase shifts were identified.
- Experimental results align with theoretical predictions for graphene's weak localization.

## Abstract

The relationship between the universal conductance fluctuation and the weak localization effect in monolayer graphene is investigated. By comparing experimental results with the predictions of the weak localization theory for graphene, we find that the ratio of the elastic intervalley scattering time to the inelastic dephasing time varies in accordance with the conductance fluctuation; this is a clear evidence connecting the universal conductance fluctuation with the weak localization effect. We also find a series of scattering lengths that are related to the phase shifts caused by magnetic flux by Fourier analysis.