Spin-Resolved Edge States around an Antidot in the Vicinity of the $\nu =2$ Quantum Hall State

TL;DR

This study explores how spin effects influence electronic transport around an antidot near the $ u=2$ quantum Hall state, revealing paired AB oscillations and the impact of Zeeman energy on these phenomena.

Contribution

It provides new insights into spin-related edge states and their influence on conductance oscillations in quantum Hall systems near $ u=2$.

Findings

Paired $h/2e$ Aharonov-Bohm oscillations observed.

Zeeman energy affects the AB oscillations.

Evolution of conductance with magnetic field studied.

Abstract

We have investigated spin-related effects on the electronic transport in a single antidot system in the vicinity of the $\nu = 2$ quantum Hall state where two edge states with different spins of the lowest Landau level are formed around the antidot. The conductance exhibits the paired $h/2e$ Aharonov-Bohm (AB) oscillations. Using a tilted magnetic field technique, we have observed the evolution of the oscillations with the total magnetic field and a concomitant change in the source-drain bias dependence of the differential conductance. From the observation, we extract the effect of the Zeeman energy on the AB oscillations.