Dynamical Mean-Field Theory of Strongly Correlated Electron Systems

Abstract

Dynamical Mean-Field Theory (DMFT) has opened new perspectives for the investigation of strongly correlated electron systems and greatly improved our understanding of correlation effects in models and materials. In contrast to Hartree-Fock-type approximations the mean field of DMFT is dynamical, whereby local quantum fluctuations are fully taken into account. DMFT becomes exact in the limit of high spatial dimensions or coordination number. Using DMFT the dynamics of correlated electron systems can be investigated non-perturbatively at all interaction strengths, electron densities and temperatures. By merging density functional theory with DMFT a powerful method for the calculation of the properties of correlated electron materials has become available, which is applicable to bulk systems and heterostructures, including topological states of matter. The inclusion of non-local correlations into DMFT makes it possible to explore unconventional superconductivity and the critical behavior at thermal or quantum phase transitions. By generalizing DMFT to non-equilibrium states also the real-time dynamics of correlated systems can be investigated. In this brief review the foundations and current status of DMFT are discussed along with characteristic physical insights obtained with this approach.

Plenary Lecture held at the International Conference on Strongly Correlated Electron Systems 2019 (SCES 2019), Okayama, Japan, 24.09.2019; to be published in the Proceedings of SCES2019 (JPS Conf. Proc.); 12 pages, 1 figure; typos corrected, references added, all author names in the references written out

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Cited by in corpus (7)

• Low-Temperature Dielectric Anomalies at the Mott Insulator-Metal Transition
• CDMFT+HFD : an extension of dynamical mean field theory for nonlocal interactions applied to the single band extended Hubbard model
• Unusually thick metal-insulator domain walls around the Mott point
• A method to derive material-specific spin-bath model descriptions of materials displaying prevalent spin physics
• Phase-Space Approach to Wannier Pairing and Bogoliubov Orbitals in Square-Octagon Lattices
• Dynamical Cluster Approximation Study of Electron Localization in the Extended Hubbard Model
• Non-Fermi Liquid Behavior of the $t$-$J$ Model in the Strange Metal Phase: $U(1)$ Gauge Theory Consistent with Local Constraints