Lorentzian quantum wells in graphene: The role of shape invariance in zero-energy-state trapping
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F24%3A00598011" target="_blank" >RIV/61389005:_____/24:00598011 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1103/PhysRevB.110.075120" target="_blank" >https://doi.org/10.1103/PhysRevB.110.075120</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevB.110.075120" target="_blank" >10.1103/PhysRevB.110.075120</a>
Alternative languages
Result language
angličtina
Original language name
Lorentzian quantum wells in graphene: The role of shape invariance in zero-energy-state trapping
Original language description
Confining Dirac fermions in graphene using electrostatic fields is a challenging task. Electric quantum dots created by a scanning tunneling microscope tip can trap zero-energy quasiparticles. The Lorentzian quantum well provides a faithful, exactly solvable approximation for such a potential, hosting zero-energy bound states for certain values of the coupling constant. We show that in this critical configuration, the system can be related to the free-particle model by means of a supersymmetric transformation. The revealed shape invariance of the model greatly simplifies the calculation of the zero modes and naturally explains the degeneracy of the zero energy.
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/EH22_008%2F0004558" target="_blank" >EH22_008/0004558: Advanced MUltiscaLe materials for key Enabling Technologies</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
Physical Review B
ISSN
2469-9950
e-ISSN
2469-9969
Volume of the periodical
110
Issue of the periodical within the volume
7
Country of publishing house
US - UNITED STATES
Number of pages
9
Pages from-to
075120
UT code for WoS article
001290945400008
EID of the result in the Scopus database
2-s2.0-85201324645