Charge and Spin Transport at the Quantum Hall Edge of Graphene

Abstract

Landau level bending near the edge of graphene, described using 2d Dirac equation, provides a microscopic framework for understanding the quantum Hall Effect (QHE) in this material. We review properties of the QHE edge states in graphene, with emphasis on the novel phenomena that arise due to Dirac character of electronic states. A method of mapping out the dispersion of the edge states using scanning tunneling probes is proposed. The Zeeman splitting of Landau levels is shown to create a particularly interesting situation around the Dirac point, where it gives rise to counter-circulating modes with opposite spin. These chiral spin modes lead to a rich variety of spin transport phenomena, including spin Hall effect, spin filtering and injection, and electric detection of spin current. The estimated Zeeman spin gap, enhanced by exchange, of a few hundred Kelvin, makes graphene an attractive system for spintronics. Comparison to recent transport measurements near nu=0 is presented.

10 pages, 6 figures, invited paper

References in corpus (12)

• Electric Field Effect in Atomically Thin Carbon Films
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Room-Temperature Quantum Hall Effect in Graphene
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Unconventional Integer Quantum Hall effect in graphene
• Intrinsic and Rashba Spin-orbit Interactions in Graphene Sheets
• Landau Level Splitting in Graphene in High Magnetic Fields
• Spin Filtered Edge States and Quantum Hall Effect in Graphene
• Edge States and the Quantized Hall Effect in Graphene
• Dissipative Quantum Hall Effect in Graphene near the Dirac Point
• Electron interactions in graphene in a strong magnetic field
• Order from Disorder in Graphene Quantum Hall Ferromagnet

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