Contributions to Books:
L. Barletti, P. Holzinger, A. Jüngel:
"Quantum drift-diffusion equations for a two-dimensional electron gas with spin-orbit interaction";
in: "ASC Report 23/2020",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Quantum drift-diffusion equations are derived for a two-dimensional electron gas with spin-orbit interaction of Rashba type. The (formal) derivation turns out to be a non-standard application of the usual mathematical tools, such as Wigner transform, Moyal product expansion and Chapman-Enskog expansion. The main peculiarity consists in the fact that a non-vanishing current is already carried by the leading-order term in the Chapman-Enskog expansion. To our knowledge, this is
the first example of quantum drift-diffusion equations involving the full spin vector. Indeed, previous models were either quantum bipolar (involving only the spin projection on a given axis) or full spin but semiclassical.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.