Static structure factor for graphene in a magnetic field

Abstract

A close study is made of the static structure factor for graphene in a magnetic field at integer filling factors nu, with focus on revealing possible signatures of "relativistic" quantum field theory in the low-energy physics of graphene. It is pointed out, in particular, that for graphene even the vacuum state has a nonzero density spectral weight, which, together with the structure factor for all nu, grows significantly with increasing wave vector; such unusual features of density correlations are a "relativistic" effect deriving from massless Dirac quasiparticles in graphene. Remarkably it turns out that the zero-energy Landau levels of electrons or holes, characteristic to graphene, remain indistinguishable in density response from the vacuum state, although they are distinct in Hall conductance.

7 pages, 3 figures, revtex

References in corpus (13)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Chiral tunneling and the Klein paradox in graphene
• Dielectric function, screening, and plasmons in 2D graphene
• Electronic Properties of Disordered Two-Dimensional Carbon
• 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
• Magnetic field driven metal-insulator phase transition in planar systems
• Graphene integer quantum Hall effect in the ferromagnetic and paramagnetic regimes
• Spontaneous parity breaking of graphene in the quantum Hall regime
• Electromagnetic response and effective gauge theory of graphene in a magnetic field

Cited by in corpus (7)

• Dirac oscillator in an external magnetic field
• 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
• Noncommutative Dirac oscillator in an external magnetic field
• Pseudo-zero-mode Landau levels and collective excitations in bilayer graphene
• Electromagnetic response and pseudo-zero-mode Landau levels of bilayer graphene in a magnetic field
• PT phase transition in a (2+1)-d relativistic system