Two-dimensional Dirac operators with general δ-shell interactions supported on a straight line
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F23%3A00365924" target="_blank" >RIV/68407700:21340/23:00365924 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1088/1751-8121/acafaf" target="_blank" >https://doi.org/10.1088/1751-8121/acafaf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1751-8121/acafaf" target="_blank" >10.1088/1751-8121/acafaf</a>
Alternative languages
Result language
angličtina
Original language name
Two-dimensional Dirac operators with general δ-shell interactions supported on a straight line
Original language description
In this paper the two-dimensional Dirac operator with a general hermitian delta-shell interaction supported on a straight line is introduced as a self-adjoint operator and its spectral properties are investigated in detail. In particular, it is demonstrated that the singularly continuous spectrum is always empty and that by switching a certain delta-shell interaction on, it is possible to generate an eigenvalue in the gap of the spectrum of the free operator or to partially or even fully close the gap. This suggests that the studied operators may serve as interesting continuum toy-models for Dirac materials. Finally, approximations by Dirac operators with regular potentials are presented.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Journal of Physics A: Mathematical and Theoretical
ISSN
1751-8113
e-ISSN
1751-8121
Volume of the periodical
56
Issue of the periodical within the volume
4
Country of publishing house
GB - UNITED KINGDOM
Number of pages
29
Pages from-to
1-29
UT code for WoS article
000934907600001
EID of the result in the Scopus database
2-s2.0-85147972884