Torsion-induced persistent current in a twisted quantum ring

TL;DR

This paper investigates how geometric torsion in a twisted quantum ring induces a quantum phase shift, leading to a persistent current, and discusses the conditions necessary for its experimental detection.

Contribution

It introduces the concept of torsion-induced persistent current in a twisted quantum ring, highlighting the role of geometric torsion in quantum phase shifts.

Findings

Torsion causes a measurable quantum phase shift in electrons.

Persistent current flows along the twisted quantum ring due to torsion.

Physical conditions for detecting the current are analyzed.

Abstract

We describe the effects of geometric torsion on the coherent motion of electrons along a thin twisted quantum ring. The geometric torsion inherent in the quantum ring triggers a quantum phase shift in the electrons' eigenstates, thereby resulting in a torsion-induced persistent current that flows along the twisted quantum ring. The physical conditions required for detecting the current flow are discussed.