Self-isospectrality, special supersymmetry, and their effect on the band structure

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dc.creatorCorrea, Francisco
dc.creatorJakubsky, Vit
dc.creatorNieto, Luis-Miguel
dc.creatorPlyushchay, Mikhail S.
dc.date2008-01-10
dc.date2008-07-16
dc.date.accessioned2026-07-07T11:55:09Z
dc.date.available2026-07-07T11:55:09Z
dc.descriptionWe study a planar model of a non-relativistic electron in periodic magnetic and electric fields that produce a 1D crystal for two spin components separated by a half-period spacing. We fit the fields to create a self-isospectral pair of finite-gap associated Lame equations shifted for a half-period, and show that the system obtained is characterized by a new type of supersymmetry. It is a special nonlinear supersymmetry generated by three commuting integrals of motion, related to the parity-odd operator of the associated Lax pair, that coherently reflects the band structure and all its peculiarities. In the infinite period limit it provides an unusual picture of supersymmetry breaking.
dc.descriptionTitle changed by the Editor of Phys. Rev. Lett., published version
dc.identifierhttps://arxiv.org/abs/0801.1671
dc.identifierhttp://arxiv.org/abs/0801.1671
dc.identifierPhys.Rev.Lett.101:030403,2008
dc.identifierdoi:10.1103/PhysRevLett.101.030403
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205152
dc.subjectHigh Energy Physics - Theory
dc.subjectOther Condensed Matter
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subjectQuantum Physics
dc.titleSelf-isospectrality, special supersymmetry, and their effect on the band structure
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