Integer quantum Hall effect in single-layer graphene with tilted magnetic field

Analytical expression for the Hall conductivity σyx in graphene is derived in more general case, in which magnetic field is not perpendicular to the plane of the sample. The derivations were carried out using Kubo-Greenwood formulism, which is more suitable when the spectrum is discrete. The results...

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Veröffentlicht in:	Journal of applied physics 2013-08, Vol.114 (7)
1. Verfasser:	Krstajic, P M
Format:	Artikel
Sprache:	eng
Schlagworte:	Derivation Exact solutions Graphene Magnetic fields Mathematical analysis Planes Quantum Hall effect Vectors (mathematics)
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container_title	Journal of applied physics
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description	Analytical expression for the Hall conductivity σyx in graphene is derived in more general case, in which magnetic field is not perpendicular to the plane of the sample. The derivations were carried out using Kubo-Greenwood formulism, which is more suitable when the spectrum is discrete. The results are analyzed as a function of the angle between the magnetic field vector and the normal of the graphene plane. Contrary to the previous theoretical studies, we show that the plateau levels are independent of the direction of the magnetic field. The positions of the plateaus, however, depend on the orientation of the magnetic field.
doi_str_mv	10.1063/1.4818605
format	Article
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source	AIP Journals Complete; AIP Digital Archive; Alma/SFX Local Collection
subjects	Derivation Exact solutions Graphene Magnetic fields Mathematical analysis Planes Quantum Hall effect Vectors (mathematics)
title	Integer quantum Hall effect in single-layer graphene with tilted magnetic field
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