Eigenspectra and thermodynamic quantities in graphene under the inside and outside magnetic fields

. In this research, firstly, the Dirac-Weyl equation has been solved for the bound states of a graphene quantum dot formed by the inhomogeneous distributions of the magnetic fields inside and outside the graphene quantum dot by using the series method. Then, we have obtained the density of states, e...

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Bibliographic Details
Published in:European physical journal plus 2017-11, Vol.132 (11), p.477, Article 477
Main Authors: Eshghi, M., Mehraban, H., Ahmadi Azar, I.
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Complex Systems
Condensed Matter Physics
Crystal structure
Electrons
Energy
Fermions
Graphene
Magnetic fields
Mathematical analysis
Mathematical and Computational Physics
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Quantum dots
Regular Article
Theoretical
Thermodynamics
Wave functions
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Summary:. In this research, firstly, the Dirac-Weyl equation has been solved for the bound states of a graphene quantum dot formed by the inhomogeneous distributions of the magnetic fields inside and outside the graphene quantum dot by using the series method. Then, we have obtained the density of states, electronic density and gate voltage using the obtained fermions energy. Also, we have calculated the wave function as the Hessenberg determinants from calculation of their elements. On the other hand, we have obtained of the thermodynamic quantities of the Dirac-Weyl fermions inside the graphene quantum dot. Finally, we have discussed on the obtained analytically results.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/i2017-11728-9