Aharonov-Bohm and relativistic Corbino effects in graphene: A comparative study of two quantum interference phenomena

TL;DR

This paper analytically compares the effects of magnetic fields on conductance, shot noise, and charge transfer in graphene's Aharonov-Bohm rings and Corbino disks, revealing similar behaviors but differences in third-cumulant dependence.

Contribution

It provides a comparative analytical study of two quantum interference phenomena in graphene, highlighting their similarities and differences in magnetotransport properties.

Findings

Similar magnetotransport behaviors in both structures.

Differences in third-cumulant dependence on magnetic fields.

Analytical expressions for conductance and noise characteristics.

Abstract

This is an analytical study of magnetic fields effects on the conductance, the shot noise power, and the third charge-transfer cumulant for Aharonov-Bohm rings and Corbino disks in graphene. The two distinct physical mechanisms lead to very similar magnetotransport behaviors. Differences are unveiled when discussing the third-cumulant dependence on magnetic fields.