Variational cluster approach for correlated many-body systems out of equilibrium

Publikation: Konferenzbeitrag(Altdaten) Vortrag oder Präsentation


We present a
numerical approach that allows to compute
steady state properties of strongly correlated quantum many-body
systems out of equilibrium [1].
The method
is based on a combination of
variational cluster approach
with the nonequilibrium Green's function (Keldysh) formalism.

We apply the method to non-linear transport
across a strongly correlated quantum wire
described by the fermionic Hubbard model, and across a correlated
quantum dot [2].
In the last case, we benchmark
results for the steady-state current
with data from
Matrix Product State based time
We show that for low to medium interaction strength,
a simple cluster perturbative approach
already yields good
results, while for larger interaction strength the
feedback provided by the variational condition
significantly enhances the accuracy.
Finally, we illustrate how the method bridges to nonequilibrium
cluster dynamical mean-field theory.
PublikationsstatusVeröffentlicht - 11 Okt 2012
VeranstaltungCorrelations and coherence in quantum systems -
Dauer: 11 Okt 2012 → …


KonferenzCorrelations and coherence in quantum systems
Zeitraum11/10/12 → …


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