Anomalous phase shift in a twisted quantum loop
Hisao Taira, Hiroyuki Shima

TL;DR
This paper investigates how the inherent torsion in a twisted quantum ring induces a unique quantum phase shift, leading to persistent currents and conductance oscillations without magnetic flux, revealing novel quantum effects.
Contribution
It demonstrates that torsion in a twisted quantum ring causes a non-trivial phase shift, resulting in new quantum phenomena distinct from untwisted rings.
Findings
Torsion induces a quantum phase shift in electrons.
Persistent currents occur without magnetic flux.
Conductance oscillations resemble Aharonov-Bohm effects.
Abstract
Coherent motion of electrons in a twisted quantum ring is considered to explore the effect of torsion inherent to the ring. Internal torsion of the ring composed of helical atomic configuration yields a non-trivial quantum phase shift in the electrons' eigenstates. This torsion-induced phase shift causes novel kinds of persistent current flow and an Aharonov-Bohm like conductance oscillation. The two phenomena can occur even when no magnetic flux penetrates inside the twisted ring, thus being in complete contrast with the counterparts observed in untwisted rings.
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