Spectrally isomorphic Dirac systems: Graphene in an electromagnetic field

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F15%3A00443401" target="_blank" >RIV/61389005:_____/15:00443401 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1103/PhysRevD.91.045039" target="_blank" >http://dx.doi.org/10.1103/PhysRevD.91.045039</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.91.045039" target="_blank" >10.1103/PhysRevD.91.045039</a>

Result language
angličtina
Original language name
Spectrally isomorphic Dirac systems: Graphene in an electromagnetic field
Original language description
We construct the new one-dimensional Dirac Hamiltonians that are spectrally isomorphic (not isospectral) with the known exactly solvable models. Explicit formulas for their spectra and eigenstates are provided. The operators are utilized for the description of Dirac fermions in graphene in the presence of an inhomogeneous electromagnetic field. We discuss explicit, physically relevant, examples of spectrally isomorphic systems with both nonperiodic and periodic electromagnetic barriers. In the latter case, spectrally isomorphic two- and three-gap systems associated with the Ablowitz-Kaup-Newell-Segur hierarchy are considered.
Czech name
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Czech description
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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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Project
<a href="/en/project/GJ15-07674Y" target="_blank" >GJ15-07674Y: Analysis of quantum systems described by low-dimensional Dirac equation</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
Physical Review D: Particles, Fields, Gravitation and Cosmology
ISSN
1550-7998
e-ISSN
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Volume of the periodical
91
Issue of the periodical within the volume
4
Country of publishing house
US - UNITED STATES
Number of pages
9
Pages from-to
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UT code for WoS article
000350321800011
EID of the result in the Scopus database
2-s2.0-84924308489

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