High-field electron transport properties in a two-dimensional nanolayer are studied by an application of the anisotropic nonequilibrium distribution function, a natural extension of the Fermi-Dirac distribution by inclusion of energy gained/absorbed in a mean free path (mfp). The drift velocity for conical band structure of graphene is shown to rise linearly with the electric field in a low electric field that is below the critical electric field. The critical electric field, equal to thermal voltage divided by the mfp, marks the transition from ohmic linear transport to saturated behavior in a high electric field. As field rises beyond its critical value, the drift velocity is sublinear resulting in ultimate saturation; the ultimate saturation velocity is comparable to the Fermi velocity in graphene. The quantum emission is found not to affect the mobility, but is efficient in lowering the saturation velocity. Excellent agreement is obtained with the experimental data for graphene on silicon dioxide substrate.
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1 December 2012
Research Article|
December 13 2012
High-field transport in a graphene nanolayer
Vijay K. Arora;
Vijay K. Arora
a)
1
Division of Engineering and Physics, Wilkes University
, Wilkes-Barre, Pennsylvania 18766, USA
2
Faculty of Electrical Engineering, Universiti Teknologi Malaysia
, UTM Skudai 81310, Johor, Malaysia
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Michael L. P. Tan;
Michael L. P. Tan
2
Faculty of Electrical Engineering, Universiti Teknologi Malaysia
, UTM Skudai 81310, Johor, Malaysia
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Chirag Gupta
Chirag Gupta
3
Department of Electrical Engineering, Indian Institute of Technology Kanpur (IITK)
, Kanpur 208016, India
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a)
Electronic mail: vijay.arora@wilkes.edu
J. Appl. Phys. 112, 114330 (2012)
Article history
Received:
August 08 2012
Accepted:
November 12 2012
Citation
Vijay K. Arora, Michael L. P. Tan, Chirag Gupta; High-field transport in a graphene nanolayer. J. Appl. Phys. 1 December 2012; 112 (11): 114330. https://doi.org/10.1063/1.4769300
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