Dresden 2011 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 9: Graphene II (organised by TT)
DY 9.4: Talk
Monday, March 14, 2011, 14:45–15:00, HSZ 304
Dirac electrons in a spin-orbit periodic potential — •Lucia Lenz1,2 and Dario Bercioux1,2 — 1Freiburg Institute for Advanced Studies, Albert-Ludwigs-Universität, D-79104 Freiburg, Germany — 2Physikalisches Institut, Albert-Ludwigs-Universitat, D-79104 Freiburg, Germany
In this talk we present a study of the the band structure of Dirac electrons in graphene in the presence of one-dimensional, periodically modulated spin-orbit interactions. It has been shown that the transmissions of the spin up and spin down channels are strongly dependent on the length of the barrier compared to the spin-precession length [1]. Based on the knowledge of the transfer matrix, we obtain an analytic equation for the band condition using the transfer matrix method [2]. We investigate how the band structure changes compared to potentials with no spin-orbit interactions [3], and give further interpretations to the additional eigenmodes of the transfer matrix.
[1] D. Bercioux, and A. De Martino, Phy. Rev. B 81, 165410 (2010).
[2] B.H.J. McKellar, G.J. Stepheson, Phy. Rev. C, 35, 2262 (1987).
[3] M. Barbier, F.M. Peeters, P. Vasilopoulos, J.M. Pereira, Phy.Rev. B 77, 115446 (2008).