Variational approach to transport in quantum dots

Details Variational approach to transport in quantum dots Variational approach to transport in quantum dots

2009-11-06

arxiv.org/abs/0911.1292v2

Phys. Rev. B 82, 195326 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

15 pages, 4 figures

Scientific paper

10.1103/PhysRevB.82.195326

We have derived a variational principle that defines the nonequilibrium steady-state transport across a correlated impurity mimicking, e.g., a quantum dot coupled to biased leads. This variational principle has been specialized to a Gutzwiller's variational space, and applied to the study of the simple single-orbital Anderson impurity model at half filling, finding a good qualitative accord with the observed behavior in quantum dots for the expected regime of values of the bias. Beyond the purely theoretical interest in the formal definition of a variational principle in a nonequilibrium problem, the particular methods proposed have the important advantage to be simple and flexible enough to deal with more complicated systems and variational spaces.

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