Transport of Dirac quasiparticles in graphene: Hall and optical conductivities

Details Transport of Dirac quasiparticles in graphene: Hall and optical conductivities Transport of Dirac quasiparticles in graphene: Hall and optical conductivities

2005-12-07

arxiv.org/abs/cond-mat/0512157v3

Phys.Rev.B73:245411,2006

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

25 pages, RevTeX4, 8 EPS figures; final version published in PRB

Scientific paper

10.1103/PhysRevB.73.245411

The analytical expressions for both diagonal and off-diagonal ac and dc conductivities of graphene placed in an external magnetic field are derived. These conductivities exhibit rather unusual behavior as functions of frequency, chemical potential and applied field which is caused by the fact that the quasiparticle excitations in graphene are Dirac-like. One of the most striking effects observed in graphene is the odd integer quantum Hall effect. We argue that it is caused by the anomalous properties of the Dirac quasiparticles from the lowest Landau level. Other quantities such as Hall angle and Nernst signal also exhibit rather unusual behavior, in particular when there is an excitonic gap in the spectrum of the Dirac quasiparticle excitations.

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