Time-Dependent Gutzwiller approach for nonequilibrium transport in nanostructures

Details Time-Dependent Gutzwiller approach for nonequilibrium transport in nanostructures Time-Dependent Gutzwiller approach for nonequilibrium transport in nanostructures

2011-02-14

arxiv.org/abs/1102.2741v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 5 figures

Scientific paper

We extend the time-dependent Gutzwiller variational approach, recently introduced by Schir\`o and Fabrizio, Phys. Rev. Lett. 105 076401 (2010), to impurity problems. We show that dissipation occurs entirely in the leads, and a steady state is reached after some characteristic relaxation time. Furthermore we prove the connection between the time-dependent procedure derived here and the recently introduced nonequilibrium steady-state extension of the Gutzwiller method. The time-dependent method is applied to the single orbital Anderson impurity model at half-filling, modeling a quantum dot coupled to two leads. In our calculations the Gutzwiller projector is limited to act only on the impurity. The strengths and the limitations of this approximation are addressed via comparison with state of the art continuous time quantum Monte Carlo results.

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