Aharonov-Anandan Effect Induced by Spin-Orbit Interaction and Charge-Density-Waves in Mesoscopic Rings
Ya-Sha Yi, A. R. Bishop

TL;DR
This paper investigates how spin-orbit interaction induces Aharonov-Anandan phases in mesoscopic charge-density-wave rings, revealing a phase transition from insulator to metal driven by spin-dependent phase interference.
Contribution
It demonstrates the influence of spin-dependent geometric phases on charge-density-wave materials, highlighting a novel phase transition mechanism.
Findings
Spin-dependent Aharonov-Casher phase causes frustration effects.
Observable consequences for transport experiments.
Identification of a phase transition from insulator to metal.
Abstract
We study the spin-dependent geometric phase effect in mesoscopic rings of charge-density-wave(CDW) materials. When electron spin is explicitly taken into account, we show that the spin-dependent Aharonov-Casher phase can have a pronounced frustration effects on such CDW materials with appropriate electron filling. We show that this frustration has observable consequences for transport experiment. We identify a phase transition from a Peierls insulator to metal, which is induced by spin-dependent phase interference effects. Mesoscopic CDW materials and spin-dependent geometric phase effects, and their interplay, are becoming attractive opportunities for exploitation with the rapid development of modern fabrication technology.
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