Dynamical Mean Field Theory for nonequilibrium systems in steady state: an auxiliary Lindblad Master Equation approach

Research output: Contribution to conference(Old data) Lecture or PresentationResearch

Abstract

We present an approach to compute electronic steady state properties
of strongly correlated quantum systems out of equilibrium
within dynamical mean-field theory (DMFT).
Specifically, the DMFT impurity solver is based upon the exact
solution of an auxiliary system consisting of a small number of bath
sites coupled to the interacting impurity and to two Markovian
reservoirs.
The steady state Green's function of the auxiliary system is
obtained via a biconjugate Lanczos diagonalisation of the corresponding many-body
non-Hermitian Lindblad equation.
The approach can be regarded as the non-equilibrium extension
of the exact-diagonalization based DMFT, and introduces appropriate
absorbing boundary conditions for a many-body system.
Results are also presented for the Anderson
impurity model under a finite bias voltage, and the behavior of
the Kondo peak as function of voltage is discussed.
Original languageEnglish
Number of pages1
Publication statusPublished - 23 Sep 2013
EventKorrelationstage 2013 -
Duration: 27 Sep 2013 → …

Conference

ConferenceKorrelationstage 2013
Period27/09/13 → …

Fingerprint

impurities
electric potential
Green's functions
boundary conditions
electronics

Fields of Expertise

  • Advanced Materials Science

Cite this

Dynamical Mean Field Theory for nonequilibrium systems in steady state: an auxiliary Lindblad Master Equation approach. / Arrigoni, Enrico.

2013. Korrelationstage 2013, .

Research output: Contribution to conference(Old data) Lecture or PresentationResearch

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abstract = "We present an approach to compute electronic steady state properties of strongly correlated quantum systems out of equilibriumwithin dynamical mean-field theory (DMFT).Specifically, the DMFT impurity solver is based upon the exactsolution of an auxiliary system consisting of a small number of bathsites coupled to the interacting impurity and to two Markovianreservoirs.The steady state Green's function of the auxiliary system isobtained via a biconjugate Lanczos diagonalisation of the corresponding many-body non-Hermitian Lindblad equation.The approach can be regarded as the non-equilibrium extension of the exact-diagonalization based DMFT, and introduces appropriateabsorbing boundary conditions for a many-body system. Results are also presented for the Anderson impurity model under a finite bias voltage, and the behavior of the Kondo peak as function of voltage is discussed.",
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year = "2013",
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T1 - Dynamical Mean Field Theory for nonequilibrium systems in steady state: an auxiliary Lindblad Master Equation approach

AU - Arrigoni, Enrico

PY - 2013/9/23

Y1 - 2013/9/23

N2 - We present an approach to compute electronic steady state properties of strongly correlated quantum systems out of equilibriumwithin dynamical mean-field theory (DMFT).Specifically, the DMFT impurity solver is based upon the exactsolution of an auxiliary system consisting of a small number of bathsites coupled to the interacting impurity and to two Markovianreservoirs.The steady state Green's function of the auxiliary system isobtained via a biconjugate Lanczos diagonalisation of the corresponding many-body non-Hermitian Lindblad equation.The approach can be regarded as the non-equilibrium extension of the exact-diagonalization based DMFT, and introduces appropriateabsorbing boundary conditions for a many-body system. Results are also presented for the Anderson impurity model under a finite bias voltage, and the behavior of the Kondo peak as function of voltage is discussed.

AB - We present an approach to compute electronic steady state properties of strongly correlated quantum systems out of equilibriumwithin dynamical mean-field theory (DMFT).Specifically, the DMFT impurity solver is based upon the exactsolution of an auxiliary system consisting of a small number of bathsites coupled to the interacting impurity and to two Markovianreservoirs.The steady state Green's function of the auxiliary system isobtained via a biconjugate Lanczos diagonalisation of the corresponding many-body non-Hermitian Lindblad equation.The approach can be regarded as the non-equilibrium extension of the exact-diagonalization based DMFT, and introduces appropriateabsorbing boundary conditions for a many-body system. Results are also presented for the Anderson impurity model under a finite bias voltage, and the behavior of the Kondo peak as function of voltage is discussed.

UR - http://www.mpipks-dresden.mpg.de/~korrel13/

M3 - (Old data) Lecture or Presentation

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