Transport of Dirac quasiparticles in graphene: Hall and optical conductivities

2005/12/31 by V. P. Gusynin, S. G. Sharapov · 16 citations
Materials Science · Physics and Astronomy · #Graphene research and applications #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el #hep-ph

paper · pdf · doi:10.1103/physrevb.73.245411

published as Phys.Rev.B73:245411,2006 · 25 pages, RevTeX4, 8 EPS figures; final version published in PRB

openalex publication_date 2006/06/13 · arxiv created 2006/06/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Electric Field Effect in Atomically Thin Carbon Films
• Ultrathin Epitaxial Graphite: 2D Electron Gas Properties and a Route toward Graphene-based Nanoelectronics
• Two-dimensional atomic crystals
• Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations. II. Transport properties

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