2010
DOI: 10.1088/0953-8984/22/24/245302
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Flux-free conductance modulation in a helical Aharonov–Bohm interferometer

Abstract: Abstract. A novel conductance oscillation in a twisted quantum ring composed of a helical atomic configuration is theoretically predicted. Internal torsion of the ring is found to cause a quantum phase shift in the wavefunction that describes the electron's motion along the ring. The resulting conductance oscillation is free from magnetic flux penetrating inside the ring, which is in complete contrast with the ordinary AharonovBohm effect observed in untwisted quantum rings.Flux-free conductance modulation in … Show more

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Cited by 10 publications
(12 citation statements)
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References 56 publications
(69 reference statements)
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“…It has been known that mobile electrons whose motion is confined to a two-dimensional curved thin layer behave differently from those on a conventional flat plane because the geometric curvature of the layer effectively yields an electromagnetic field [50][51][52] that can affect low-energy excitations of the electrons. A quantitative examination along with sophisticated atomistic simulations 53 should reveal novel MWNT applications based on radial corrugation.…”
Section: Discussionmentioning
confidence: 99%
“…It has been known that mobile electrons whose motion is confined to a two-dimensional curved thin layer behave differently from those on a conventional flat plane because the geometric curvature of the layer effectively yields an electromagnetic field [50][51][52] that can affect low-energy excitations of the electrons. A quantitative examination along with sophisticated atomistic simulations 53 should reveal novel MWNT applications based on radial corrugation.…”
Section: Discussionmentioning
confidence: 99%
“…It is known that mobile carriers whose motion is confined to a thin curved layer behave differently from those on a conventional flat plane because of the curvature-induced electromagnetic field [43,44,45]. Another interesting issue is the effect of atomic lattice registry on nonlinear deformation (i.e.…”
Section: Resultsmentioning
confidence: 99%
“…We suppose a closed loop of a quantum wire having helical atomic configuration, and consider how the internal torsion of the configuration results in a non-trivial phase shift in the electron's wavefunction. Two physical consequences of the phase shift are reviewed and reconsidered: they are called the torsion-induced persistent current [55] and the flux-free AB effect [56]. Both phenomena take place in the absence of magnetic flux penetrating inside the ring, which is in complete contrast with the ordinary counterparts observed in untwisted quantum rings.…”
Section: Introductionmentioning
confidence: 99%