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DMFT provides an exact description of the quantum dynamics of correlated lattice systems with local interaction, but neglects spatial correlations. It has provided fundamental insights into the properties of correlated electronic systems. The combination of the DMFT with material-specific approaches,
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such as transition metals (e.g. iron or vanadium) and their oxides, i.e. materials with electrons in open d- and f-shells. The properties of these systems are determined by the
Coulomb repulsion between the electrons which makes these electrons strongly correlated. The repulsion has the tendency to
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2022 Eugene
Feenberg Medal in Many-Body Physics "for their groundbreaking development of a novel quantum many-body theory of correlated electron systems, the dynamical mean-field theory, and in particular for their application of this approach to explain and predict the properties of correlated
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cannot describe these systems adequately. In 1989 Vollhardt and his doctoral student Walter
Metzner introduced electronic models with local interaction (Hubbard model) on a lattice with infinitely many nearest neighbors, which
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2020 Fellow of the
American Physical Society "for pioneering contributions in condensed matter theory, in particular on strongly correlated electron systems, on disordered quantum systems, and on the superfluid phases of
101:"in recognition of his significant contributions to the derivation of a new mean-field theory of correlated quantum systems and to the understanding of many-body problems in the quantum theory of condensed matter"
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localize electrons. This leads to a multitude of phenomena such as the Mott-Hubbard metal insulator transition. Conventional band theory or
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then developed into the DMFT. The DMFT may be viewed as a self-consistent, field-theoretical generalization of a quantum impurity model by
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Georges, Antoine (1996). "Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions".
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K. Held, I. A. Nekrasov, G. Keller, V. Eyert, N. Blümer, A. K. McMahan, R. T. Scalettar, T. Pruschke, V. I. Anisimov, D. Vollhardt,
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Georges, Antoine (1996). "Dynamical mean-field theory of strongly correlated fermion systems and the limit of infinite dimensions".
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90:"for the development and application of the dynamical mean field theory" (together with A. Georges, G. Kotliar, W. Metzner)
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255:"A Diagrammic, Self-Consistent Treatment of the Anderson Localization Problem in d ≤ 2 Dimensions"
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512:, Editors: E. Pavarini, E. Koch, D. Vollhardt, A. Lichtenstein, Forschungszentrum Jülich (2011)
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294:"Dieter Vollhardt - Superfluid Helium-3: From very low Temperatures to the Big Bang"
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171:"Strongly correlated materials: Insights from dynamical mean field theory"
216:, Taylor and Francis 1990, corrected reprint by Dover Publications 2013
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Georges, Antoine (1992). "Hubbard model in infinite dimensions".
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2024 Honorary
Doctorate of the University of Warsaw, Poland
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electron materials (together with A. Georges, G. Kotliar)
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such as the "Local
Density Approximation" (LDA) to the
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The LDA+DMFT approach to strongly correlated materials
132:"Dynamical mean-field theory for correlated electrons"
222:"Normal He 3 : an almost localized Fermi liquid"
320:"Correlated Lattice Fermions in d = ∞ Dimensions"
206:Strong-coupling approaches to correlated Fermions
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23:and Professor of Theoretical Physics at the
444:Psi-k Newsletter No. 56 (April 2003), p. 65
508:, Lecture Notes of the Autumn School 2011
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106:Academy of Sciences of the Czech Republic
543:Fellows of the American Physical Society
35:Vollhardt is one of the founders of the
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288:Homepage at the University of Augsburg
104:2011 Ernst Mach Honorary Medal of the
19:(born September 8, 1951) is a German
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108:"for Merit in the Physical Sciences"
300:. Joshua Heath. February 25, 2021.
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548:Winners of the Max Planck Medal
553:20th-century German physicists
538:21st-century German physicists
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214:Superfluid Phases of Helium 3
71:strongly correlated materials
41:strongly correlated materials
37:Dynamical Mean-Field Theory
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220:Vollhardt, Dieter (1984).
464:Reviews of Modern Physics
410:Reviews of Modern Physics
226:Reviews of Modern Physics
88:European Physical Society
67:density functional theory
46:density functional theory
484:10.1103/RevModPhys.68.13
430:10.1103/RevModPhys.68.13
387:10.1103/PhysRevB.45.6479
318:Metzner, Walter (1989).
274:10.1103/PhysRevB.22.4666
246:10.1103/RevModPhys.56.99
169:Gabriel Kotliar (2004).
324:Physical Review Letters
99:German Physical Society
253:Vollhardt, D. (1980).
160:10.1002/andp.201100250
130:Vollhardt, D. (2011).
25:University of Augsburg
124:Selected publications
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422:1996RvMP...68...13G
379:1992PhRvB..45.6479G
336:1989PhRvL..62..324M
238:1984RvMP...56...99V
212:with Peter Wölfle,
190:2004PhT....57c..53K
151:2012AnP...524....1V
504:2013-10-05 at the
449:2006-10-09 at the
139:Annalen der Physik
59:Philip W. Anderson
510:Hands-on LDA+DMFT
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112:helium-3"
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502:Archived
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