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

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F08%3A00311844" target="_blank" >RIV/61389005:_____/08:00311844 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1103/PhysRevLett.101.030403" target="_blank" >http://dx.doi.org/10.1103/PhysRevLett.101.030403</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1103/PhysRevLett.101.030403" target="_blank" >10.1103/PhysRevLett.101.030403</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language description

    We study a planar model of a nonrelativistic electron in periodic magnetic and electric fields that produces a ID 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 operatorof 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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BE - Theoretical physics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/LC06002" target="_blank" >LC06002: Doppler Institute for Mathematical Physics and Applied Mathematics</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2008

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Physical Review Letters

  • ISSN

    0031-9007

  • e-ISSN

  • Volume of the periodical

    101

  • Issue of the periodical within the volume

    3

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    4

  • Pages from-to

    030403

  • UT code for WoS article

    000258184500003

  • EID of the result in the Scopus database