Reflectionless pseudospin-1 Dirac systems via Darboux transformation and flat band solutions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F24%3A00583171" target="_blank" >RIV/61389005:_____/24:00583171 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1088/1402-4896/ad224a" target="_blank" >https://doi.org/10.1088/1402-4896/ad224a</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1088/1402-4896/ad224a" target="_blank" >10.1088/1402-4896/ad224a</a>
Alternative languages
Result language
angličtina
Original language name
Reflectionless pseudospin-1 Dirac systems via Darboux transformation and flat band solutions
Original language description
This manuscript explores the Darboux transformation employed in the construction of exactly solvable models for pseudospin-one particles described by the Dirac-type equation. We focus on the settings where a flat band of zero energy is present in the spectrum of the initial system. Using the flat band state as one of the seed solutions substantially improves the applicability of the Darboux transformation, for it becomes necessary to ensure the Hermiticy of the new Hamiltonians. This is illustrated explicitly in four examples, where we show that the new Hamiltonians can describe quasi-particles in Lieb lattice with inhomogeneous hopping amplitudes.
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
10301 - Atomic, molecular and chemical physics (physics of atoms and molecules including collision, interaction with radiation, magnetic resonances, Mössbauer effect)
Result continuities
Project
<a href="/en/project/EF18_053%2F0017163" target="_blank" >EF18_053/0017163: Physicists on the move II</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physica Scripta
ISSN
0031-8949
e-ISSN
1402-4896
Volume of the periodical
99
Issue of the periodical within the volume
3
Country of publishing house
GB - UNITED KINGDOM
Number of pages
13
Pages from-to
035220
UT code for WoS article
001157432500001
EID of the result in the Scopus database
2-s2.0-85185000302