Conductance quantization and snake states in graphene magnetic waveguides

2007/08/31 by T. K. Ghosh, Tarun Kanti Ghosh, A. De Martino +7 · 2 citations
Materials Science · Mathematics · Physics and Astronomy · #Condensed matter physics #Conductance #Electron #Graphene #Graphene research and applications #Landau quantization #Magnetic field #Mathematics #Physics #Quantization (signal processing) #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Topological Materials and Phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.77.081404

published as Phys. Rev. B 77, 081404(R) (2008) · 5 pages, 4 figures, final version accepted as Rapid Comm. in PRB

arxiv created 2008/01/07 · openalex publication_date 2008/02/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider electron waveguides (quantum wires) in graphene created by suitable inhomogeneous magnetic fields. The properties of unidirectional snake states are discussed. For a certain magnetic field profile, two spatially separated counterpropagating snake states are formed, leading to conductance quantization insensitive to backscattering by impurities or irregularities of the magnetic field.

Citations

• Supersymmetry in carbon nanotubes in a transverse magnetic field
• Magnetic Confinement of Massless Dirac Fermions in Graphene
• Transport in a two-dimensional electron-gas narrow channel with a magnetic-field gradient
• Spin-Filtered Edge States and Quantum Hall Effect in Graphene
• Electric Field Effect in Atomically Thin Carbon Films
• Edge state in graphene ribbons: Nanometer size effect and edge shape dependence

Cited by

• Strain Modulated Superlattices in Graphene
• Colloquium: Andreev reflection and Klein tunneling in graphene
• Switchable valley filter based on a graphene p−n junction in a magnetic field