Anomalously large conductance fluctuations in weakly disordered graphene

Abstract

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.

5 pages, 8 figures

References in corpus (17)

• Electronic Properties of Disordered Two-Dimensional Carbon
• Carrier transport in 2D graphene layers
• Bipolar supercurrent in graphene
• Weak localisation magnetoresistance and valley symmetry in graphene
• Strong suppression of weak (anti)localization in graphene
• Quantum-limited shot noise in graphene
• Quantum transport of massless Dirac fermions in graphene
• Electron transport in disordered graphene
• Intervalley scattering, long-range disorder, and effective time reversal symmetry breaking in graphene
• Effect of Disorder on Transport in Graphene
• Weak antilocalization in epitaxial graphene: evidence for chiral electrons
• Friedel oscillations, impurity scattering and temperature dependence of resistivity in graphene
• Robust Transport Properties in Graphene
• On electron (anti)localization in graphene
• Landauer conductance and twisted boundary conditions for Dirac fermions in two space dimensions
• Impurity-assisted tunneling in graphene
• Transport regimes in surface disordered graphene sheets

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