Universal conductance fluctuations in Dirac materials in the presence of long-range disorder

Details Universal conductance fluctuations in Dirac materials in the presence of long-range disorder Universal conductance fluctuations in Dirac materials in the presence of long-range disorder

2011-10-25

arxiv.org/abs/1110.5652v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 3 figures

Scientific paper

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 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 non-universal crossover regime of conductance fluctuations.

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