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Phys. Rev. B 77, 075420 (2008) [6 pages]

Effect of disorder on a graphene p-n junction

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M. M. Fogler1,*, D. S. Novikov2,3, L. I. Glazman2,3, and B. I. Shklovskii2
1Department of Physics, University of California San Diego, 9500 Gilman Drive, La Jolla, California 92093, USA
2W. I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455, USA
3Department of Physics, Yale University, New Haven, Connecticut 06511, USA

Received 21 November 2007; published 21 February 2008

We propose the theory of transport in a gate-tunable graphene p-n junction, in which the gradient of the carrier density is controlled by the gate voltage. Depending on this gradient and on the density of charged impurities, the junction resistance is dominated by either diffusive or ballistic contribution. We find the conditions for observing ballistic transport and show that in existing devices they are satisfied only marginally. We also simulate numerically the trajectories of charge carriers and illustrate challenges in realizing more delicate ballistic effects, such as Veselago lensing.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.77.075420
DOI:
10.1103/PhysRevB.77.075420
PACS:
81.05.Uw, 73.63.−b, 73.40.Lq

*mfogler@ucsd.edu