Electron fractionalization for two-dimensional Dirac fermions

Simple item page
dc.creatorChamon, Claudio
dc.creatorHou, Chang-Yu
dc.creatorJackiw, Roman
dc.creatorMudry, Christopher
dc.creatorPi, So-Young
dc.creatorSemenoff, Gordon
dc.date2007-12-14
dc.date.accessioned2026-07-07T10:16:06Z
dc.date.available2026-07-07T10:16:06Z
dc.descriptionFermion-number fractionalization without breaking of time-reversal symmetry was recently demonstrated for a field theory in $(2+1)$-dimensional space and time that describes the couplings between massive Dirac fermions, a complex-valued Higgs field carrying an axial gauge charge of 2, and a U(1) axial gauge field. Charge fractionalization occurs whenever the Higgs field either supports vortices by itself, or when these vortices are accompanied by half-vortices in the axial gauge field. The fractional charge is computed by three different techniques. A formula for the fractional charge is given as a function of a parameter in the Dirac Hamiltonian that breaks the spectral energy-reflection symmetry. In the presence of a charge $\pm1$ vortex in the Higgs field only, the fractional charge varies continuously and thus can take irrational values. The simultaneous presence of a half-vortex in the axial gauge field and a charge $\pm1$ vortex in the Higgs field re-rationalizes the fractional charge to the value 1/2.
dc.description18 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0712.2439
dc.identifierhttp://arxiv.org/abs/0712.2439
dc.identifierPhys.Rev.B77:235431,2008
dc.identifierdoi:10.1103/PhysRevB.77.235431
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173390
dc.subjectHigh Energy Physics - Theory
dc.subjectStrongly Correlated Electrons
dc.subjectAtomic Physics
dc.subjectQuantum Physics
dc.titleElectron fractionalization for two-dimensional Dirac fermions
dc.typetext

Files

Collections

arXiv