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• W2056583172 abstract "We study a planar model of a nonrelativistic 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 Lam'e 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." @default.
• W2056583172 created "2016-06-24" @default.
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• W2056583172 date "2008-07-15" @default.
• W2056583172 modified "2023-09-24" @default.
• W2056583172 title "Self-Isospectrality, Special Supersymmetry, and their Effect on the Band Structure" @default.
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• W2056583172 doi "https://doi.org/10.1103/physrevlett.101.030403" @default.
• W2056583172 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/18764240" @default.
• W2056583172 hasPublicationYear "2008" @default.
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