Time reversal Aharonov-Casher effect in mesoscopic rings with Rashba spin-orbital interaction

TL;DR

This paper theoretically investigates the time reversal Aharonov-Casher effect in mesoscopic rings with Rashba spin-orbit interaction, analyzing interference patterns and effects of disorder on different interference types.

Contribution

It provides a theoretical analysis of the time reversal AC effect in mesoscopic rings, including transmission calculations and disorder impact, aligning numerical and analytical results.

Findings

Time reversal AC interference frequency matches analytical predictions.

Time reversal AC interference persists under strong disorder without magnetic field.

Aharonov-Bohm type AC interference is suppressed by disorder.

Abstract

The time reversal Aharonov-Casher (AC) interference effect in the mesoscopic ring structures, based on the experiment in Phys. Rev. Lett. \textbf{97}, 196803 (2006), is studied theoretically. The transmission curves are calculated from the scattering matrix formalism, and the time reversal AC interference frequency is singled out from the Fourier spectra in numerical simulations. This frequency is in good agreement with analytical result. It is also shown that in the absent of magnetic field, the Altshuler-Aronov-Spivak type (time reversal) AC interference retains under the influence of strong disorder, while the Aharonov-Bohm type AC interference is suppressed.