Green's function of electrons in monolayer and bilayer graphene in a magnetic field

2010/10/31 by Tomasz M. Rusin, Tomasz M Rusin, Wlodek Zawadzki · 2 citations
Chemistry · Materials Science · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Graphene research and applications #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1088/1751-8113/44/10/105201

published as J. Phys. A: Math. Theor. 44, 105201 (2011) · 7 pages, 2 figures, 2 exact results, published verion

arxiv created 2011/02/16 · openalex publication_date 2011/02/16 · arxiv updated 2011/02/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

Closed expressions for Green's functions of the stationary two-dimensional two-component Schrödinger equation for an electron moving in monolayer and bilayer graphene, in the presence of a magnetic field, are obtained in terms of the Whittaker functions.

Cited by

• Magnetic field driven instability of a charged center in graphene
• Abelian Chern-Simons theory for the fractional quantum Hall effect in graphene

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