### Session D12: Graphene Transport: Disorder Scattering

2:30 PM–5:30 PM, Monday, February 27, 2012
Room: 210C

Chair: Arthur F. Hebard, Prof. Dr.

Abstract ID: BAPS.2012.MAR.D12.7

### Abstract: D12.00007 : Universal conductance fluctuations in Dirac materials in the presence of long-range disorder

3:42 PM–3:54 PM

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#### Authors:

E. Rossi
(Department of Physics, College of William and Mary, Williamsburg, VA 23187, USA)

J.H. Bardarson
(Department of Physics, University of California, Berkeley, CA 94720, USA; Materials Sciences Division, LBNL, Berkeley)

M.S. Fuhrer
(CNAM, Department of Physics, University of Maryland, College Park, MD 20742-4111, USA)

S. Das Sarma
(CMTC, Department of Physics, University of Maryland, College Park, MD 20742-4111, USA)

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 [1]. We show, by calculating 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, and provide an explanation for the origin of the 1/f noise in Dirac materials and in graphene in particular. \\[4pt] [1] E. Rossi, J. H. Bardarson, M. S. Fuhrer, S. Das Sarma, {\it Universal conductance fluctuations in Dirac materials in the presence of long-range disorder.} arXiv:1110.5652v1 (2011)

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2012.MAR.D12.7