# Dirac Tunneling

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This Demonstration shows the tunneling through a barrier of height and width by a Dirac fermion of mass and energy . The upper two Argand plots show the weight of the reflected and transmitted waves (red: , green: , and blue: ). The lower plot shows the reflection coefficient (blue) and transmission coefficient (red). The gray area is where . The increase in the transmitted wave after tunneling is a consequence of the Klein paradox.

Contributed by: Niels Walet (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

This Demonstration implements the reflection from a barrier for a Dirac electron. For further details, see

[1] R.–K. Su, G. G. Siu, and X. Chou, "Barrier Penetration and the Klein Paradox," *Journal of Physics A: Mathematical and General*, 26, 1993 pp. 1001–1005.

[2] M. I. Katsnelson, K. S. Novoselov, and A. K. Geim, "Chiral Tunnelling and the Klein Paradox in Graphene,"* Nature Physics*, 2, 2006 pp. 620–625.

## Permanent Citation

"Dirac Tunneling"

http://demonstrations.wolfram.com/DiracTunneling/

Wolfram Demonstrations Project

Published: March 7 2011