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Dynamical Mean-Field Theory

  • Dieter Vollhardt
  • Krzysztof Byczuk
  • Marcus Kollar
Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 171)

Abstract

The dynamical mean-field theory (DMFT) is a widely applicable approximation scheme for the investigation of correlated quantum many-particle systems on a lattice, e.g., electrons in solids and cold atoms in optical lattices. In particular, the combination of the DMFT with conventional methods for the calculation of electronic band structures has led to a powerful numerical approach which allows one to explore the properties of correlated materials. In this introductory article we discuss the foundations of the DMFT, derive the underlying self-consistency equations, and present several applications which have provided important insights into the properties of correlated matter.

Keywords

Hubbard Model Local Density Approximation Lattice Fermion Coherent Potential Approximation Hubbard Band 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgments

We thank Jim Allen, Vladimir Anisimov, Nils Blümer, Ralf Bulla, Liviu Chioncel, Theo Costi, Vlad Dobrosavljević, Peter van Dongen, Martin Eckstein, Volker Eyert, Florian Gebhard, Karsten Held, Walter Hofstetter, Vaclav Janiš, Anna Kauch, Stefan Kehrein, Georg Keller, Gabi Kotliar, Jan Kuneš, Ivan Leonov, Walter Metzner, Michael Moeckel, Igor Nekrasov, Thomas Pruschke, Xinguo Ren, Shigemasa Suga, Götz Uhrig, Martin Ulmke, Ruud Vlaming, Philipp Werner, and Unjong Yu for valuable collaborations. Support by the Deutsche Forschungsgemeinschaft through TRR 80 and FOR 1346 is gratefully acknowledged. KB was also supported by the grant N N202 103138 of the Polish Ministry of Science and Education.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Dieter Vollhardt
    • 1
  • Krzysztof Byczuk
    • 2
  • Marcus Kollar
    • 1
  1. 1.Theoretical Physics III, Center for Electronic Correlations and Magnetism, Institute of PhysicsUniversity of AugsburgAugsburgGermany
  2. 2.Faculty of Physics, Institute of Theoretical PhysicsUniversity of WarsawWarsawPoland

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