Room temperature quantum Hall effect in q-formalism
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F22%3A50019305" target="_blank" >RIV/62690094:18470/22:50019305 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1140/epjp/s13360-022-02831-3" target="_blank" >https://link.springer.com/article/10.1140/epjp/s13360-022-02831-3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1140/epjp/s13360-022-02831-3" target="_blank" >10.1140/epjp/s13360-022-02831-3</a>
Alternative languages
Result language
angličtina
Original language name
Room temperature quantum Hall effect in q-formalism
Original language description
We consider the quantum Hall effect (QHE) in q-formalism and obtain its spectrum in thermal non-equilibrium conditions (TNEQ). Moreover, we calculate the electrical potential for QHE using the density probability current in TNEQ. We find that the geometric region q < 1 can explain the Landau energy gap on graphene-based materials for the room temperature quantum Hall effect (RTQHE), while the geometric region q >= 1 describes the ordinary quantum Hall effect close to absolute zero temperature. To satisfy Tsallis conditions, we present two separate integral bounds for partition function to calculate the integrals in QHE and RTQHE cases. We geometrically prove that the magnitude of the Hall potentials depends on the q-region (i.e., vertical bar(V-H((q>1))vertical bar > vertical bar V-H((q=1))vertical bar > vertical bar V-H((q<1))vertical bar). Our method may be applied to analyze new electronic devices based on graphene in TNEQ.
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
10303 - Particles and field physics
Result continuities
Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2022
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
The European physical journal plus
ISSN
2190-5444
e-ISSN
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Volume of the periodical
137
Issue of the periodical within the volume
6
Country of publishing house
DE - GERMANY
Number of pages
10
Pages from-to
"Article Number: 655"
UT code for WoS article
000805779400001
EID of the result in the Scopus database
2-s2.0-85131631472