Graphene as a new page in Solid State Physics
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Graphene as a new page in Solid State Physics
L.A. FalkovskyLandau Institute for Theoretical Physics Institute of High Pressure Physics
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Graphene sample in the Hall conductivity experiment
Novoselov et al (2005)
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GraphiteWallace, PR 71, 622 (1947)McClure, PR 108, 612 (1957)Slonczewski, Weiss, PR 109 (1958)
NanotubesSaito, Fujita, Dresselhaus, Dresselhaus, PRB 46, 1804 (1992)
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2221 v yx pp ,
two-dimensional massless Dirac fermions
scm /810v
K
K’
graphene doped
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Novoselov et al (2005)Field-effect
2) universal minimal conductivity
22emin
1) conductivity proportional to the carrier density
3) universal optical conductivity
4)(
2eopt
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2
k=p±p±
Time and space dispersion of conductivity Falkovsky and Varlamov (2006)
g 2 2
T,kv,ω<<τ
10
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optical conductivity
T
0T
interband
intraband
T
Falkovsky and Pershoguba (2007)
Gusynin and Sharapov (2007)
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optical transmittance of graphene
z
x
r
t
Novoselov et al. (2008)
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graphene conductance
D. Basov et al (2008)
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x
y
X<0
U=0X<0
X>0
X>0
Klein’s paradox
U
x
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(2009)
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Bilayer graphene
field effect
bilayerMcCann, Fal’ko (2006-2007)
Novoselov et alOhta et alLi et alKuzmenko et alMak et al
2U
E=2U/d
d2
d2
electron dispersion
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Mounet PRB (2005)
Graphite phonon modes
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