Creation and manipulation of anyons in a layered superconductor-2DEG system

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dc.creatorRosenberg, G.
dc.creatorSeradjeh, B.
dc.creatorWeeks, C.
dc.creatorFranz, M.
dc.date2008-12-16
dc.date2009-03-05
dc.date.accessioned2026-07-07T13:10:52Z
dc.date.available2026-07-07T13:10:52Z
dc.descriptionWe describe and analyze in detail our recent theoretical proposal for the realization and manipulation of anyons in a weakly interacting system consisting of a two-dimensional electron gas in the integer quantum Hall regime adjacent to a type-II superconducting film with an artificial array of pinning sites. The anyon is realized in response to a defect in the pinned vortex lattice and carries a charge \pm e/2 and a statistical angle pi/4. We establish this result, both analytically and numerically, in three complementary approaches: (i) a continuum model of two-dimensional electrons in the vortex lattice of the superconducting film; (ii) a minimal tight-binding lattice model that captures the essential features of the system; and (iii) an effective theory of the superconducting vortex lattice superposed on the integer quantum Hall state. We propose a novel method to measure the fractional charge directly in a bulk transport experiment and an all-electric setup for an ``anyon shuttle'' implementing the braiding operations. We briefly discuss conditions for fabricating the system in the lab and its potential applications in quantum information processing with non-Abelian anyons.
dc.description18 pages, 10 figures, submitted to PRB; (v2) section on experimental signatures added, references updated
dc.identifierhttps://arxiv.org/abs/0812.3140
dc.identifierhttp://arxiv.org/abs/0812.3140
dc.identifierPhys. Rev. B 79, 205102 (2009).
dc.identifierdoi:10.1103/PhysRevB.79.205102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229123
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.subjectSuperconductivity
dc.titleCreation and manipulation of anyons in a layered superconductor-2DEG system
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