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Updated: Jul 1, 2026

Angle-resolved Photoemission Spectroscopy At Ultra-low Temperatures
Published on: October 9, 2012
Self-isospectrality, special supersymmetry, and their effect on the band structure
Francisco Correa1, Vít Jakubský, Luis-Miguel Nieto
1Departamento de Física, Universidad de Santiago de Chile, Casilla 307, Santiago 2, Chile.
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 Lamé 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.
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