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Seminar of the Department of Mathematical Physics, Steklov Mathematical Institute of RAS
April 10, 2014 11:00, Moscow, Steklov Mathematical Institute of RAS, Room 430 (8 Gubkina)
 


Semiclassical theory of potential scattering for massless Dirac fermions

K. Reijnders

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Abstract: Massless Dirac fermions, the charge carriers in graphene and topological insulators, have very unusual properties. One of the most striking phenomena they exhibit is Klein tunneling: an electron normally incident on an electrostatic potential barrier will always be transmitted. This is in stark contrast to conventional Schrdinger particles, for which the transmission is exponentially small. In this talk, I will discuss scattering of two-dimensional massless Dirac fermions by a one-dimensional potential in detail. In particular, I will show that there are three different regimes of scattering. For each of these regimes, I will show how the transmission for a generic potential barrier can be obtained by using the semiclassical (Wentzel-Kramers-Brillouin) approximation. The predictions provided by our analytic expressions show good agreement with numerical calculations for all considered cases. This talk is based on work that was done together with Mikhail Katsnelson and Timur Tudorovskiy.

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