Electromagnetic response and effective gauge theory of graphene in a magnetic field

Abstract

The electromagnetic response of graphene in a magnetic field is studied, with particular emphasis on the quantum features of its ground state (vacuum). The graphene vacuum, unlike in conventional quantum Hall systems, is a dielectric medium and carries an appreciable amount of electric and magnetic susceptibilities. The dielectric effect grows rapidly with increasing filling factor nu in such a way that reflects the 'relativistic' Landau-level characteristics of graphene as well as its valley and spin degeneracy. A close look into the dielectric function also reveals that the Coulomb interaction is efficiently screened on the scale of the magnetic length, leading to a prominent reduction of the exciton spectra in graphene. In addition, an effective gauge theory of graphene is constructed out of the response. It is pointed out thereby that the electric susceptibility is generally expressed as a ratio of the Hall conductance to the Landau gap.

9 pages, 3 figures, revtex, corrected typos

References in corpus (6)

• Unconventional Integer Quantum Hall effect in graphene
• Dynamical polarization of graphene at finite doping
• 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
• Excitonic gap, phase transition, and quantum Hall effect in graphene

Cited by in corpus (20)

• Visualizing Broken Symmetry and Topological Defects in a Quantum Hall Ferromagnet
• Collective modes of doped graphene and a standard 2DEG in a strong magnetic field: linear magneto-plasmons versus magneto-excitons
• Dynamical polarization of monolayer graphene in a magnetic field
• Experimental determination of the energy per particle in partially filled Landau levels
• Pseudo-zero-mode Landau levels and collective excitations in bilayer graphene
• Spin-flip excitations, spin waves, and magneto-excitons in graphene Landau levels at integer filling factors
• Atypical Fractional Quantum Hall Effect in Graphene at Filling Factor 1/3
• Energy gap of the even-denominator fractional quantum Hall state in bilayer graphene
• Strong-Magnetic-Field Magnon Transport in Monolayer Graphene
• Theory of Bernstein Modes in Graphene
• Electromagnetic response and pseudo-zero-mode Landau levels of bilayer graphene in a magnetic field
• Structure and the Lamb-shift-like quantum splitting of the pseudo-zero-mode Landau levels in bilayer graphene
• Temperature dependent screened electronic transport in gapped graphene
• Many-body effects of Coulomb interaction on Landau levels in graphene
• Theory of inplane magnetoresistance in two-dimensional massless Dirac fermion system
• Tilt-Induced Phase Transitions in Even-Denominator Fractional Quantum Hall States at the ZnO Interface
• Static structure factor for graphene in a magnetic field
• Orbital Lamb shift and mixing of the pseudo-zero-mode Landau levels in ABC-stacked trilayer graphene
• Anomalous Valley Magnetic Moment of Graphene
• Equilibrium current distributions and W_{infinity} gauge theory in quantum Hall systems of conventional electrons and Dirac electrons