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Graphene as a new page in Solid State Physics L.A. Falkovsky Landau Institute for Theoretical Physics Institute of High Pressure Physics.

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Presentation on theme: "Graphene as a new page in Solid State Physics L.A. Falkovsky Landau Institute for Theoretical Physics Institute of High Pressure Physics."— Presentation transcript:

1 Graphene as a new page in Solid State Physics L.A. Falkovsky Landau Institute for Theoretical Physics Institute of High Pressure Physics

2 Graphene sample in the Hall conductivity experiment Novoselov et al (2005)

3 Graphite Wallace, PR 71, 622 (1947) McClure, PR 108, 612 (1957) Slonczewski, Weiss, PR 109 (1958) Nanotubes Saito, Fujita, Dresselhaus, Dresselhaus, PRB 46, 1804 (1992)

4 two-dimensional massless Dirac fermions K K’ graphene doped

5 Novoselov et al (2005) Field-effect 2) universal minimal conductivity 1)conductivity proportional to the carrier density 3) universal optical conductivity

6 Time and space dispersion of conductivity Falkovsky and Varlamov (2006)

7 optical conductivity interband intraband Falkovsky and Pershoguba (2007) Gusynin and Sharapov (2007)

8 optical transmittance of graphene z x r t Novoselov et al. (2008)

9 graphene conductance D. Basov et al (2008)

10 x y X<0 U=0 X<0 X>0 Klein’s paradox U x

11 (2009)

12 Bilayer graphene field effect bilayer McCann, Fal’ko (2006-2007) Novoselov et al Ohta et al Li et al Kuzmenko et al Mak et al  2U  E=2U/d d 2 d 2 electron dispersion

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14 Mounet PRB (2005) Graphite phonon modes

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