Algebraic solution of a graphene layer in transverse electric and perpendicular magnetic fields

2007/09/05 by N. M. R. Peres, Eduardo V. Castro · 6 citations
Materials Science · Physics and Astronomy · #Graphene research and applications #Metamaterials and Metasurfaces Applications #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1088/0953-8984/19/40/406231

published as Journal of Physics Condensed Matter 19, 406231 (2007) · 11 pages, 5 figures, accepted for publication in Journal of Physics Condensed Matter

arxiv created 2007/09/05 · openalex publication_date 2007/09/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

Abstract

We present an exact algebraic solution of a single graphene plane in transverse electric and perpendicular magnetic fields. The method presented gives both the eigenvalues and the eigenfunctions of the graphene plane. It is shown that the eigenstates of the problem can be cast in terms of coherent states, which appears in a natural way from the formalism.

Citations

• Electric Field Effect in Atomically Thin Carbon Films
• Two-dimensional atomic crystals

Cited by

• Dynamics of the spin Hall effect in topological insulators and graphene
• Role of electrical field in quantum Hall effect of graphene
• Anisotropy-induced collapse of Landau levels in Weyl semimetals and its detection via the planar Hall effect
• Raise and collapse of pseudo Landau levels in graphene
• Signature of tilted Dirac cones in Weiss oscillations of8−Pmmnborophene
• Schrödinger-type 2D coherent states of magnetized uniaxially strained graphene

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