Majorana fermions of a two-dimensional Px+iPy superconductor

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dc.creatorKraus, Yaacov E.
dc.creatorAuerbach, Assa
dc.creatorFertig, H. A.
dc.creatorSimon, Steven H.
dc.date2009-04-19
dc.date.accessioned2026-07-07T13:05:53Z
dc.date.available2026-07-07T13:05:53Z
dc.descriptionTo investigate Majorana fermionic excitations of a $p_x+ip_y$ superconductor, the Bogoliubov-de-Gennes equation is solved on a sphere for two cases: (i) a vortex-antivortex pair at opposite poles and (ii) an edge near the south pole and an antivortex at the north pole. The vortex cores support a state of two Majorana fermions, the energy of which decreases exponentially with the radius of the sphere, independently of a moderate disorder potential. The tunneling conductance of an electron into the superconductor near the position of a vortex is computed for finite temperature, and is compared to the case of an {\it s}-wave superconductor. The zero bias conductance peak of the antivortex is half that of the vortex. This effect can be used as a probe of the order parameter symmetry, and as a direct measurement of the Majorana fermion.
dc.description15 pages, 17 figures
dc.identifierhttps://arxiv.org/abs/0904.2920
dc.identifierhttp://arxiv.org/abs/0904.2920
dc.identifierPhys. Rev. B 79, 134515 (2009)
dc.identifierdoi:10.1103/PhysRevB.79.134515
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227633
dc.subjectSuperconductivity
dc.subjectStrongly Correlated Electrons
dc.titleMajorana fermions of a two-dimensional Px+iPy superconductor
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