The effect of dephasing induced by electron-electron interaction on electronic transport in graphene nanoribbons is theoretically investigated. In the presence of disorder in graphene nanoribbons, wavefunction of electrons can set up standing waves along the channel and the conductance exponentially decreases with the ribbon's length. Employing the non-equilibrium Green's function formalism along with an accurate model for describing the dephasing induced by electron-electron interaction, we show that this kind of interaction prevents localization and transport of electrons remains in the diffusive regime where the conductance is inversely proportional to the ribbon's length.
References
1.
K. S.
Novoselov
, A. K.
Geim
, S.
Morozov
, D.
Jiang
, Y.
Zhang
, S.
Dubonos
, I.
Grigorieva
, and A.
Firsov
, Science
306
, 666
(2004
).2.
F.
Schedin
, A.
Geim
, S.
Morozov
, E.
Hill
, P.
Blake
, M.
Katsnelson
, and K.
Novoselov
, Nat. Mater.
6
, 652
(2007
).3.
A. A.
Balandin
, S.
Ghosh
, W.
Bao
, I.
Calizo
, D.
Teweldebrhan
, F.
Miao
, and C. N.
Lau
, Nano Lett.
8
, 902
(2008
).4.
C.
Berger
, Z.
Song
, X.
Li
, X.
Wu
, N.
Brown
, C.
Naud
, D.
Mayou
, T.
Li
, J.
Hass
, A. N.
Marchenkov
et al., Science
312
, 1191
(2006
).5.
Y.-W.
Son
, M. L.
Cohen
, and S. G.
Louie
, Phys. Rev. Lett.
97
, 216803
(2006
).6.
T.
Fang
, A.
Konar
, H.
Xing
, and D.
Jena
, Phys. Rev. B
78
, 205403
(2008
).7.
Y.
Yang
and R.
Murali
, IEEE Electron Device Lett.
31
, 237
(2010
).8.
A.
Yazdanpanah
, M.
Pourfath
, M.
Fathipour
, H.
Kosina
, and S.
Selberherr
, IEEE Trans. Electron Devices
58
, 3725
(2011
).9.
A.
Yazdanpanah
, M.
Pourfath
, M.
Fathipour
, H.
Kosina
, and S.
Selberherr
, IEEE Trans. Electron Devices
59
, 433
(2012
).10.
K.
Takashima
and T.
Yamamoto
, Appl. Phys. Lett.
104
, 093105
(2014
).11.
F. V.
Tikhonenko
, A. A.
Kozikov
, A. K.
Savchenko
, and R. V.
Gorbachev
, Phys. Rev. Lett.
103
, 226801
(2009
).12.
A.
Sinner
and K.
Ziegler
, Phys. Rev. B
82
, 165453
(2010
).13.
M.
Schütt
, P.
Ostrovsky
, I.
Gornyi
, and A.
Mirlin
, Phys. Rev. B
83
, 155441
(2011
).14.
S.
Kim
, M.
Luisier
, A.
Paul
, T. B.
Boykin
, and G.
Klimeck
, IEEE Trans. Electron Devices
58
, 1371
(2011
).15.
M.
Pourfath
and H.
Kosina
, Large-Scale Scientific Computing
, Lecture Notes Computer Science Vol. 3743
(Springer
, 2006
), pp. 578
–585
.16.
R.
Golizadeh-Mojarad
and S.
Datta
, Phys. Rev. B
75
, 081301
(2007
).17.
X.
Li
, E.
Barry
, J.
Zavada
, M. B.
Nardelli
, and K.
Kim
, Appl. Phys. Lett.
97
, 082101
(2010
).18.
M.
Pourfath
, The Non-Equilibrium Green's Function Method for Nanoscale Device Simulation
, (Springer-Verlag
, New York
, 2014
).19.
D. J.
Thouless
, J. Phys. C: Solid State Phys.
6
, L49
(1973
).© 2014 AIP Publishing LLC.
2014
AIP Publishing LLC
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