Energy spectrum for two-dimensional potentials in very high magnetic fields

buir.contributor.authorBayındır, Mehmet
dc.citation.epage12091en_US
dc.citation.issueNumber19en_US
dc.citation.spage12088en_US
dc.citation.volumeNumber56en_US
dc.contributor.authorGedik, Z.en_US
dc.contributor.authorBayındır, Mehmeten_US
dc.date.accessioned2016-02-08T10:47:18Z
dc.date.available2016-02-08T10:47:18Z
dc.date.issued1997en_US
dc.departmentDepartment of Physicsen_US
dc.description.abstractA new method, analogous to supersymmetry transformation in quantum mechanics, is developed for a particle in the lowest Landau level moving in an arbitrary potential. The method is applied to two-dimensional potentials formed by Dirac delta scattering centers. In the periodic case, the problem is solved exactly for rational values of the magnetic flux (in units of flux quantum) per unit cell. The spectrum is found to be self-similar, resembling the Hofstadter butterflyen_US
dc.identifier.doi10.1103/PhysRevB.56.12088en_US
dc.identifier.issn0163-1829
dc.identifier.urihttp://hdl.handle.net/11693/25582
dc.language.isoEnglishen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofhttps://doi.org/10.1103/PhysRevB.56.12088en_US
dc.source.titlePhysical Review B - Condensed Matter and Materials Physicsen_US
dc.titleEnergy spectrum for two-dimensional potentials in very high magnetic fieldsen_US
dc.typeArticleen_US

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