Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
| Autor: | A. A. Katanin, Alexander I. Lichtenstein, Karsten Held, Andrey E. Antipov, G. Rohringer, Alessandro Toschi, Hartmut Hafermann, Alexey N. Rubtsov, Mikhail I. Katsnelson |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Solid-state physics
Theory of Condensed Matter NONLOCAL CORRELATIONS FOS: Physical sciences General Physics and Astronomy 02 engineering and technology DYNAMICAL MEAN-FIELD THEORY 01 natural sciences symbols.namesake Condensed Matter - Strongly Correlated Electrons STRONGLY CORRELATED ELECTRON SYSTEM MEAN FIELD THEORY 0103 physical sciences Coulomb Feynman diagram Statistical physics 010306 general physics Quantum Physics Superconductivity Strongly Correlated Electrons (cond-mat.str-el) REALISTIC MATERIALS 021001 nanoscience & nanotechnology STRONG ELECTRONIC CORRELATIONS Vertex (geometry) Diagrammatic reasoning SOLID STATE THEORY symbols QUANTUM THEORY Strongly correlated material 0210 nano-technology SUPERCONDUCTING FLUCTUATIONS MODEL HAMILTONIANS |
| Zdroj: | Rev. Mod. Phys. Reviews of Modern Physics Reviews of Modern Physics, 90, 1-53 Reviews of Modern Physics, 90, 2, pp. 1-53 |
| ISSN: | 0034-6861 |
| Popis: | Strong electronic correlations pose one of the biggest challenges to solid state theory. We review recently developed methods that address this problem by starting with the local, eminently important correlations of dynamical mean field theory (DMFT). On top of this, non-local correlations on all length scales are generated through Feynman diagrams, with a local two-particle vertex instead of the bare Coulomb interaction as a building block. With these diagrammatic extensions of DMFT long-range charge-, magnetic-, and superconducting fluctuations as well as (quantum) criticality can be addressed in strongly correlated electron systems. We provide an overview of the successes and results achieved---hitherto mainly for model Hamiltonians---and outline future prospects for realistic material calculations. 60 pages, 42 figures, replaced by the version to be published in Rev. Mod. Phys. 2018 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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