Electron transport in disordered graphene
Seminar Room 1, Newton Institute
AbstractCharge carriers in graphene have a relativistic (massless Dirac) spectrum, which is responsible for remarkable electronic properties of this 2D material. In this talk, I will first give a brief overview of the experimental results on transport properties of graphene samples. I will then present recent theoretical advances on electron transport in disordered graphene. Transport properties of the system are found to depend crucially on the character of disorder which influences the symmetry and the topology of the underlying field theory of disordered Dirac fermions. A particularly interesting situation emerges for long-range disorder which does not mix two Dirac "valleys" of the spectrum. Topics to be discussed: (i) Anderson localization or its absence; (ii) anomalous quantum Hall effect; (iii) evolution from the ballistic to the diffusive regime. The talk is based on results obtained in P.M. Ostrovsky, I.V. Gornyi, and A.D. Mirlin, Phys.Rev.B 74, 235443 (2006); Phys.Rev.Lett. 98, 256801 (2007); Eur.Phys.J.Special Topics 148, 63 (2007); Phys.Rev.B 77, 195430 (2008); A. Schuessler, P.M. Ostrovsky, I.V. Gornyi, and A.D. Mirlin, in preparation.
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