Edge Excitations and Non-Abelian Statistics in the Moore-Read State: A Numerical Study in the Presence of Coulomb Interaction and Edge Confinement

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dc.creatorWan, Xin
dc.creatorYang, Kun
dc.creatorRezayi, E. H.
dc.date2006-09-26
dc.date2007-01-18
dc.date.accessioned2026-07-07T07:41:24Z
dc.date.available2026-07-07T07:41:24Z
dc.descriptionWe study the ground state and low-energy excitations of fractional quantum Hall systems on a disk at filling fraction $ν= 5/2$, with Coulomb interaction and background confining potential. We find the Moore-Read ground state is stable within a finite but narrow window in parameter space. The corresponding low-energy excitations contain a fermionic branch and a bosonic branch, with widely different velocities. A short-range repulsive potential can stabilize a charge $+e/4$ quasihole at the center, leading to a different edge excitation spectrum due to the change of boundary conditions for Majorana fermions, clearly indicating the non-Abelian nature of the quasihole.
dc.description4 pages, 3 figures. New version shortened for PRL. Corrected typos
dc.identifierhttps://arxiv.org/abs/cond-mat/0609665
dc.identifierhttp://arxiv.org/abs/cond-mat/0609665
dc.identifierPhys. Rev. Lett. 97, 256804 (2006)
dc.identifierdoi:10.1103/PhysRevLett.97.256804
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122093
dc.subjectMesoscale and Nanoscale Physics
dc.titleEdge Excitations and Non-Abelian Statistics in the Moore-Read State: A Numerical Study in the Presence of Coulomb Interaction and Edge Confinement
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