Fetching the paper…
Reading the bibliography…
We numerically calculate the conductivity $\sigma$ of an undoped graphene sheet (size $L$) in the limit of vanishingly small lattice constant.
P. A. Lee and T. V. Ramakrishnan, Rev. Mod. Phys. 57
1985
Earlier work this paper cites.
H. Tamura and T. Ando, Phys. Rev. B 44
1991
Earlier work this paper cites.
A. W. W. Ludwig, M. P. A. Fisher, R. Shankar, and G. Grinstein, Phys. Rev. B 50
1994
Earlier work this paper cites.
The Dirac equation with a delta-function correlated random potential has a divergent scattering rate, see, e.g.,
1995
Earlier work this paper cites.
K. Efetov, Supersymmetry in Disorder and Chaos
1997
Earlier work this paper cites.
T. Ando, T. Nakanishi, and R. Saito, J. Phys. Soc. Japan 67
1998
Earlier work this paper cites.
A. H. Castro Neto, F. Guinea, and N. M. R. Peres, Physics World, November 2006
2006
Earlier work this paper cites.
E. McCann, K. Kechedzhi, V. I. Fal’ko, H. Suzuura, T. Ando, and B.L. Altshuler, Phys. Rev. Lett. 97
2006
Cited alongside, same era.
I. L. Aleiner and K. B. Efetov, Phys. Rev. Lett. 97
2006
Cited alongside, same era.
A. Altland, Phys. Rev. Lett. 97
2006
Cited alongside, same era.
P. Markos and L. Schweitzer, J. Phys. A 39
2006
Cited alongside, same era.
M. I. Katsnelson, Eur. Phys. J. B 51
2006
Cited alongside, same era.
J. Tworzydło, B. Trauzettel, M. Titov, A. Rycerz, and C. W. J. Beenakker, Phys. Rev. Lett. 96
2006
Cited alongside, same era.
V. V. Cheianov and V. I. Fal’ko, Phys. Rev. B 74
D. V. Khveshchenko, Phys. Rev. Lett. 97
2006
Later among the works it cites.
P. M. Ostrovsky, I. V. Gornyi, and A. D. Mirlin, Phys. Rev. B 74
2006
Later among the works it cites.
A. K. Geim and K. S. Novoselov, Nature Mat. 6
2007
Closest in time.
M. I. Katsnelson and K. S. Novoselov, Solid State Comm. 143
2007
Closest in time.
M. Titov, Europhys. Lett. 79
2007
Closest in time.
K. Nomura and A. H. MacDonald, Phys. Rev. Lett. 98
2007
Closest in time.
P. M. Ostrovsky, I. V. Gornyi, and A. D. Mirlin, Phys. Rev. Lett. 98
2007
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2006
Cited alongside, same era.
A. Rycerz, J. Tworzydło, and C. W. J. Beenakker, cond-mat/0612446
Cited in the paper.
We define the β \beta -function in terms of the ensemble averaged conductivity σ \sigma , measured in units of 4 e 2 / h 4e^{2}/h (with the factor of four accounting for twofold spin and valley degeneracies). This is the appropriate definition for our system. For a more general definition of one-parameter scaling, one needs to scale a distribution function of conductances [ 11 ]
Cited in the paper.
S. Ryu, C. Mudry, H. Obuse, and A. Furusaki, cond-mat/0702529
Cited in the paper.
We call σ 0 \sigma_{0} the ballistic limit because it is reached in the absence of disorder, but we emphasize that it is a conductivity — not a conductance. This is a unique property (called “pseudodiffusive”) of graphene at the Dirac point, that its conductance scales ∝ 1 / L \propto 1/L like in a diffusive system even in the absence of disorder
Cited in the paper.
K. Nomura, M. Koshino, and S. Ryu, arXiv:0705.1607
Cited in the paper.