Sergei Sharapov

Unconventional Integer Quantum Hall effect in graphene

Monolayer graphite films, or graphene, have quasiparticle excitations that can be described by (2+1)-dimensional Dirac theory. We demonstrate that this produces an unconventional form of the quantized Hall conductivity sigma(xy) = -(2e2/h)(2n+1) with n = 0, 1, ..., which notably distinguishes graphene from other materials where the integer quantum Hall effect was observed. This unconventional quantization is caused by the quantum anomaly of the n=0 Landau level and was discovered in recent experiments on ultrathin graphite films.

Magneto-optical conductivity in graphene

Landau level quantization in graphene reflects the Dirac nature of its quasiparticles and has been found to exhibit an unusual integer quantum Hall effect. In particular the lowest Landau level can be thought as shared equally by electrons and holes and this leads to characteristic behaviour of the magneto-optical conductivity as a function of frequency

Unusual microwave response of dirac quasiparticles in graphene

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Transport of Dirac quasiparticles in graphene: Hall and optical conductivities

for various values of the chemical potential

AC CONDUCTIVITY OF GRAPHENE: FROM TIGHT-BINDING MODEL TO 2 + 1-DIMENSIONAL QUANTUM ELECTRODYNAMICS

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Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations

. Particular attention is paid to the optical spectral weight under various absorption peaks and its redistribution as

Anomalous absorption line in the magneto-optical response of graphene.

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Sum Rules for the Optical and Hall Conductivity in Graphene

is varied. We also provide results for magnetic field

Three-dimensional Dirac fermions in quasicrystals as seen via optical conductivity

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Effect of electron-phonon interaction on spectroscopies in graphene

as well as chemical potential sweeps at selected fixed frequencies which can be particularly useful for possible measurements in graphene. Both diagonal and Hall conductivity are considered.