Time-resolved quantum spin transport through an Aharonov-Casher ring

TL;DR

This paper derives an exact time-dependent solution for spin transport in an Aharonov-Casher ring, revealing how electric fields influence spin interference and conductance, with implications for spintronics control.

Contribution

It provides the first exact analytical time-varying solution for spin transport in an Aharonov-Casher ring under dynamic electric fields, highlighting the role of dynamic phase in spin interference.

Findings

Electric field strength affects spin precession and interference patterns.

Weak electric fields allow greater manipulation of spin interference.

Dynamic phase difference influences charge and spin conductance.

Abstract

After obtaining an exact analytical time-varying solution for the Aharonov-Casher conducting ring embedded in a textured static/dynamic electric field, we investigate the spin-resolved quantum transport in the structure. It is shown that the interference patterns are governed by not only the Aharonov-Casher geometry phase but also the instantaneous phase difference of spin precession through different traveling paths. This dynamic phase is determined by the strength of applied electric field and can have substantial effects on the charge/spin conductances, especially in the weak field regime as the period of spin precession comparable to that of the orbital motion. Our studies suggest that a low-frequency normal electric field with moderate strength possesses more degrees of freedom for manipulating the spin interference of incident electrons.