Rashba billiards

Details Rashba billiards Rashba billiards

2005-12-16

arxiv.org/abs/cond-mat/0512397v2

The European Physical Journal B, Vol. 54, 189 (2006)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 6 figures, minor changes in the text, submitted to PRB

Scientific paper

10.1140/epjb/e2006-00445-9

We study the energy levels of non-interacting electrons confined to move in two-dimensional billiard regions and having a spin-dependent dynamics due to a finite Rashba spin splitting. The Green's function for such Rashba billiards is constructed analytically and used to find the area and perimeter contributions to the density of states, as well as the smooth counting function. We show that, in contrast to systems with spin-rotational invariance, Rashba billiards always possess a negative energy spectrum. A semi-classical analysis is presented to interpret the singular behavior of the density of states at certain negative energies. Our detailed analysis of the spin structure of Rashba billiards reveals a finite out-of-plane spin projection for electron eigenstates.

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