Generalized dynamical mean-field theory in physics of strongly correlated systems

Abstract

This review is devoted to generalization of dynamical mean-field theory (DMFT) for strongly correlated electronic systems towards the account of different types of additional interactions, necessary for correct physical description of many experimentally observed phenomena in such systems. As additional interactions we consider: (1) interaction of electrons with antiferromagnetic (or charge) fluctuations of order parameter in high-Tc superconductors leading to the formation of pseudogap state, (2) scattering of electrons on static disorder and its role in general picture of Anderson-Hubbard metal-insulator transition, (3) electron-phonon interaction and corresponding anomalies of electronic spectra in strongly correlated systems. Proposed DMFT+Sigma approach is based on taking into account above mentioned interactions by introducing additional self-energy Sigma (in general momentum dependent) into conventional DMFT scheme and calculated in a self-consistent way within the standard set of DMFT equations. Here we formulate general scheme of calculation of both one-particle (spectral functions and densities of states) and two-particle (optical conductivity) properties. We examine the problem of pseudogap formation, including the Fermi arc formation and partial destruction of the Fermi surface, metal-insulator transition in disordered Anderson-Hubbard model, and general picture of kink formation within electronic spectra in strongly correlated systems. DMFT+Sigma approach is generalized to describe realistic materials with strong electron-electron correlations based on LDA+DMFT method. General scheme of LDA+DMFT method is presented together with some of its applications to real systems. The LDA+DMFT+Sigma approach is employed to modelling of pseudogap state of electron and hole doped high-T_c cuprates. Comparison with variety of ARPES experiments is given.

60 pages, 24 figures. Review article accepted for publication in Physics-Uspekhi

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Cited by in corpus (21)

• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Puzzle of the gamma-alpha and other phase transitions in cerium
• Explaining the pseudogap through damping and antidamping on the Fermi surface by imaginary spin scattering
• Compound-tunable embedding potential method and its application to fersmite crystal
• Nonlocal corrections to dynamical mean-field theory from the two-particle self-consistent method
• Planckian relaxation delusion in metals
• Attractive Hubbard model with disorder and the generalized Anderson theorem
• Hall effect in doped Mott insulator: DMFT-approximation
• Disorder Effects in BCS-BEC Crossover Region of Attractive Hubbard Model
• Orbital Selective Mott Transition Induced by Orbitals with Distinct Noninteracting Densities of States
• Droplets of the order parameter in a low density attracting electron system in the presence of a strong random potential
• Temperature dependence of the upper critical field in disordered Hubbard model with attraction
• Attractive Hubbard Model: Homogeneous Ginzburg - Landau Expansion and Disorder
• One-step approach to ARPES from strongly correlated solids: a Mott-Hubbard system
• Ginzburg - Landau Expansion in BCS - BEC Crossover Region of Disordered Attractive Hubbard Model
• DMFT+Sigma approach to disordered Hubbard model
• Pairing boost from enhanced spin-fermion coupling in the pseudogap regime
• Ginzburg - Landau expansion in strongly disordered attractive Anderson - Hubbard model
• Hall Effect in Doped Mott-Hubbard Insulator
• Ginzburg-Landau expansion and the upper critical field in disordered attractive Hubbard model
• Thermoelectric Power and Hall Effect in Correlated Metals and Doped Mott-Hubbard Insulators: DMFT approximation