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Non-equilibrium Dynamical Mean-Field Theory

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Abstract

Intense and ultrashort light pulses allow to investigate new states of matter in complex materials under non-equilibrium conditions. The formulation of dynamical mean-field theory (DMFT) using Keldysh Green’s functions provides a framework to calculate the electronic structure of correlated materials out of equilibrium. The approach has contributed insight into a wide range of topics, including photo-induced processes in Mott insulators, non-equilibrium steady states in driven materials, and the fundamental question how isolated quantum systems thermalize. In this chapter we outline the theoretical foundations of non-equilibrium DMFT, present some of the major results so far, and briefly discuss future directions, which are needed in order to develop a framework in which material properties out of equilibrium can be obtained from first principles.

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Authors and Affiliations

  1. Friedrich-Alexander Universität Erlangen-Nürnberg, Erlangen, Germany

    Martin Eckstein

  2. Theory Department: Theory of Correlated Systems out of Equilibrium, Max-Planck-Institut f. Struktur u. Dynamik der Materie, Hamburg, Germany

    Martin Eckstein

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  1. Martin Eckstein
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Correspondence to Martin Eckstein .

Editor information

Editors and Affiliations

  1. Institute of Physics, École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland

    Wanda Andreoni

  2. Department of Nuclear Science & Engineering , Massachusetts Institute of Technology , Cambridge, MA, USA

    Sidney Yip

Section Editor information

  1. Theory Department, MPI for the Structure and Dynamics of Matter, Hamburg, Germany

    Angel Rubio

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Eckstein, M. (2018). Non-equilibrium Dynamical Mean-Field Theory. In: Andreoni, W., Yip, S. (eds) Handbook of Materials Modeling . Springer, Cham. https://doi.org/10.1007/978-3-319-42913-7_1-1

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  • DOI: https://doi.org/10.1007/978-3-319-42913-7_1-1

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