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
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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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
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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
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