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Universal Conductance Fluctuations in Dirac Materials in the Presence of Long-range Disorder
Rossi, Enrico Bardarson, J. H. Fuhrer, M. S. Das Sarma, S.
Rossi, Enrico
Bardarson, J. H.
Fuhrer, M. S.
Das Sarma, S.
Abstract
We study quantum transport in Dirac materials with a single fermionic Dirac cone (strong topological insulators and graphene in the absence of intervalley coupling) in the presence of non-Gaussian long-range disorder. We show, by directly calculating numerically the conductance fluctuations, that in the limit of very large system size and disorder strength, quantum transport becomes universal. However, a systematic deviation away from universality is obtained for realistic system parameters. By comparing our results to existing experimental data on 1/f noise, we suggest that many of the graphene samples studied to date are in a nonuniversal crossover regime of conductance fluctuations.
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2012-08-01
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Physics
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https://doi.org/10.1103/PhysRevLett.109.096801