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.

arXiv comment9 pages, 3 figures, revtex, corrected typos

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Cited by in corpus (42)

• Electronic Properties of Graphene in a Strong Magnetic Field
• Plasmonics in Dirac systems: from graphene to topological insulators
• Phase diagram for the $\nu =0$ quantum Hall state in monolayer graphene
• 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
• The magnetic field particle-hole excitation spectrum in doped graphene and in a standard two-dimensional electron gas
• Many-body corrections to cyclotron resonance in monolayer and bilayer graphene
• Dynamical polarization of monolayer graphene in a magnetic field
• Dynamical screening in bilayer graphene
• 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
• Magnetoplasmons in quasi-neutral epitaxial graphene nanoribbons
• Drift-induced modifications to the dynamical polarization of graphene
• Energy gap of the even-denominator fractional quantum Hall state in bilayer graphene
• The effect of electron dielectric response on the quantum capacitance of graphene in a strong magnetic field
• Strong-Magnetic-Field Magnon Transport in Monolayer Graphene
• Influence of Landau level mixing on the properties of elementary excitations in graphene in strong magnetic field
• 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
• Collisionless Hydrodynamics of Doped Graphene in a Magnetic Field
• Renormalization and cyclotron resonance in bilayer graphene with weak electron-hole asymmetry
• Understanding the Missing Fractional Quantum Hall States in ZnO
• Temperature dependent screened electronic transport in gapped graphene
• The Pfaffian state in an electron gas with small Landau level gaps
• Zeeman coupling and screening corrections to skyrmion excitations in graphene
• Kinetic theory of spin-polarized systems in electric and magnetic fields with spin-orbit coupling: I. Kinetic equation and anomalous Hall and spin-Hall effects
• 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
• Polarization of graphene in a strong magnetic field beyond the Dirac cone approximation
• Static structure factor for graphene in a magnetic field
• Many-body effects on Landau-level spectra and cyclotron resonance in graphene
• Orbital Lamb shift and mixing of the pseudo-zero-mode Landau levels in ABC-stacked trilayer graphene
• Anomalous Valley Magnetic Moment of Graphene
• Long-wavelength gauge symmetry and translations in a magnetic field for Dirac electrons in graphene
• Magneto-Coulomb Drag and Hall Drag in Double-Layer Dirac Systems
• Equilibrium current distributions and W_{infinity} gauge theory in quantum Hall systems of conventional electrons and Dirac electrons
• Terahertz out-of-plane resonances due to spin-orbit coupling
• Kinetic theory of spin-polarized systems in electric and magnetic fields with spin-orbit coupling: II. RPA response functions and collective modes