An Index Theorem for the Majorana Zero Modes in Chiral P-Wave Superconductors

dc.creatorTewari, Sumanta
dc.creatorSarma, S. Das
dc.creatorLee, Dung-Hai
dc.date2006-09-21
dc.date.accessioned2026-07-07T08:19:44Z
dc.date.available2026-07-07T08:19:44Z
dc.descriptionWe show that the Majorana fermion zero modes in the cores of odd winding number vortices of a 2D $p_x+ip_y$-paired superconductor is due to an index theorem. This theorem is analogous to that proven by Jackiw and Rebbi for the existence of localized Dirac fermion zero modes on the mass domain walls of a 1D Dirac theory. The important difference is that, in our case, the theorem is proven for a two component fermion theory where the first and second components are related by parity reversal and hermitian conjugation.
dc.identifierhttps://arxiv.org/abs/cond-mat/0609556
dc.identifierhttp://arxiv.org/abs/cond-mat/0609556
dc.identifierPhys. Rev. Lett. 99, 037001 (2007)
dc.identifierdoi:10.1103/PhysRevLett.99.037001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134868
dc.subjectStrongly Correlated Electrons
dc.subjectSuperconductivity
dc.titleAn Index Theorem for the Majorana Zero Modes in Chiral P-Wave Superconductors
dc.typetext

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