Collective Excitations of Dirac Electrons in Graphene

Abstract

Two-dimensional electrons in graphene are known to behave as massless fermions with Dirac-Weyl type linear dispersion near the Dirac crossing points. We have investigated the collective excitations of this system in the presence or absence of an external magnetic field. Unlike in the conventional two-dimensional electron system, the $\nu =\frac{1}{m}$ fractional quantum Hall state in graphene was found to be most stable in the $n=1$ Landau level. In the zero field case, but in the presence of the spin-orbit interaction, an undamped plasmon mode was found to exist in the gap of the single-particle continuum.

arXiv commentTo be published as Proceedings of the Wuerzburg Conference, 2006

References in corpus (8)

• Quantum Spin Hall Effect in Graphene
• Quantum Hall Ferromagnetism in Graphene
• Landau Level Splitting in Graphene in High Magnetic Fields
• Graphene integer quantum Hall effect in the ferromagnetic and paramagnetic regimes
• Charge and spin Hall conductivity in metallic graphene
• The Fractional Quantum Hall States of Dirac Electrons in Graphene
• Plasmon spectrum of two-dimensional electron systems with Rashba spin-orbit interaction
• Spin excitation spectra of integral and fractional quantum Hall systems

Cited by in corpus (8)

• Properties of Graphene: A Theoretical Perspective
• Nonlinear electromagnetic response of graphene: Frequency multiplication and the self-consistent-field effects
• Terahertz Science and Technology of Carbon Nanomaterials
• Plasmons and Coulomb drag in Dirac/Schroedinger hybrid electron systems
• Traits and Characteristics of Interacting Dirac fermions in Monolayer and Bilayer Graphene
• Inter-band magnetoplasmons in mono- and bi-layer graphene
• Theory of Weiss oscillations in the magnetoplasmon spectrum of Dirac electrons in graphene
• Time-dependent magneto-transport in a driven graphene spin valve