Anomalously large conductance fluctuations in weakly disordered graphene

Details Anomalously large conductance fluctuations in weakly disordered graphene Anomalously large conductance fluctuations in weakly disordered graphene

2006-12-18

arxiv.org/abs/cond-mat/0612446v3

Europhys.Lett. 79, 57003 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 8 figures

Scientific paper

10.1209/0295-5075/79/57003

We have studied numerically the mesoscopic fluctuations of the conductance of a graphene strip (width W large compared to length L), in an ensemble of samples with different realizations of the random electrostatic potential landscape. For strong disorder (potential fluctuations comparable to the hopping energy), the variance of the conductance approaches the value predicted by the Altshuler-Lee-Stone theory of universal conductance fluctuations. For weaker disorder the variance is greatly enhanced if the potential is smooth on the scale of the atomic separation. There is no enhancement if the potential varies on the atomic scale, indicating that the absence of backscattering on the honeycomb lattice is at the origin of the anomalously large fluctuations.

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