Exchange energy and generalized polarization in the presence of spin-orbit coupling in two dimensions

Details Exchange energy and generalized polarization in the presence of spin-orbit coupling in two dimensions Exchange energy and generalized polarization in the presence of spin-orbit coupling in two dimensions

2007-01-15

arxiv.org/abs/cond-mat/0701355v2

Phys. Rev. B 75, 155305 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevB.75.155305

We discuss a general form of the exchange energy for a homogeneous system of interacting electrons in two spatial dimensions which is particularly suited in the presence of a generic spin-orbit interaction. The theory is best formulated in terms of a generalized fractional electronic polarization. Remarkably we find that a net generalized polarization does not necessarily translate into an increase in the magnitude of the exchange energy, a fact that in turn favors unpolarized states. Our results account qualitatively for the findings of recent experimental investigations.

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