Survival of $\Phi_{0}/2$ periodicity in presence of incoherence in asymmetric Aharonov-Bohm rings

TL;DR

This paper investigates how incoherence affects the $rac{ ext{Phi}_0}{2}$ periodicity and phase change in magneto conductance oscillations of asymmetric Aharonov-Bohm rings, showing these features persist despite dephasing.

Contribution

It demonstrates that $rac{ ext{Phi}_0}{2}$ oscillations and their phase change remain robust under dephasing, using a simple wave attenuation model.

Findings

$rac{ ext{Phi}_0}{2}$ oscillations survive incoherence with reduced visibility.

The phase change of $ ext{pi}$ remains unaffected by dephasing.

Incoherence does not eliminate the $rac{ ext{Phi}_0}{2}$ periodicity.

Abstract

Magneto conductance oscillations periodic in flux with periodicity $\Phi_{0}$ and $\Phi_{0}/2$ are seen in asymmetric Aharonov-Bohm rings as a function of density of electrons or Fermi wave vector. Dephasing of these oscillations is incorporated using a simple approach of wave attenuation. In this work we study how the excitation of the $\Phi_{0}/2$ oscillations and the accompanying phase change of $\pi$ are affected by dephasing. Our results show that the $\Phi_{0}/2$ oscillations survive incoherence, i.e., dephasing, albeit with reduced visibility while incoherence is also unable to obliterate the phase change of $\pi$.