How to detect the pseudospin-1/2 Berry phase in a photonic crystal with a Dirac spectrum

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dc.creatorSepkhanov, R. A.
dc.creatorNilsson, Johan
dc.creatorBeenakker, C. W. J.
dc.date2008-03-11
dc.date2008-05-21
dc.date.accessioned2026-07-07T09:54:08Z
dc.date.available2026-07-07T09:54:08Z
dc.descriptionWe propose a method to detect the geometric phase produced by the Dirac-type band structure of a triangular-lattice photonic crystal. The spectrum is known to have a conical singularity (= Dirac point) with a pair of nearly degenerate modes near that singularity described by a spin-1/2 degree of freedom (= pseudospin). The geometric Berry phase acquired upon rotation of the pseudospin is in general obscured by a large and unspecified dynamical phase. We use the analogy with graphene to show how complementary media can eliminate the dynamical phase. A transmission minimum results as a direct consequence of the geometric phase shift of pi acquired by rotation of the pseudospin over 360 degrees around a perpendicular axis. We support our analytical theory based on the Dirac equation by a numerical solution of the full Maxwell equations.
dc.description6 pages, 6 figures; v2: section added, figure added
dc.identifierhttps://arxiv.org/abs/0803.1581
dc.identifierhttp://arxiv.org/abs/0803.1581
dc.identifierPhys. Rev. B 78, 045122 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.045122
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166207
dc.subjectOptics
dc.subjectOther Condensed Matter
dc.titleHow to detect the pseudospin-1/2 Berry phase in a photonic crystal with a Dirac spectrum
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