We review the dynamical mean-field theory of strongly correlated electron systems which is based on a mapping lattice models onto quantum impurity subject to self-consistency condition. This exact for electrons in limit large coordination (or infinite spatial dimensions). It extends standard construction from classical statistical mechanics problems. discuss physical ideas underlying this and its mathematical derivation. Various analytic numerical techniques that have been developed recently...

A review of the basic ideas and techniques spectral density-functional theory is presented. This method currently used for electronic structure calculations strongly correlated materials where one-electron description breaks down. The illustrated with several examples interactions play a dominant role: systems near metal-insulator transitions, volume collapse local moments.

We propose a new functional integral representation of the Hubbarda and Anderson models lattice fermions. The simplest saddle-point approximation leads, at zero temperature, to results derived from Gutzwiller variational wave function. This approach uncovers limitations clarifies its connection "auxiliary-boson" mean-field theory model. formulation leads novel strong-coupling which allows for unified treatment antiferromagnetism ferromagnetism, metal-to-insulator transition, Kondo...

We present an exact mapping of the Hubbard model in infinite dimensions onto a single-impurity Anderson (or Wolff) supplemented by self-consistency condition. This provides mean-field picture strongly corrrelated systems, which becomes as d\ensuremath{\rightarrow}\ensuremath{\infty}. point out special integrable case equations, and study general using perturbative renormalization group around atomic limit. Three distinct Fermi-liquid regimes arise, corresponding to Kondo, mixed-valence,...

Materials with correlated electrons exhibit some of the most intriguing phenomena in condensed matter physics. A new theoretical framework is now allowing theorists to calculate electronic structure these materials, which can exist a rich variety phases.

We propose a systematic procedure for constructing effective models of strongly correlated materials. The parameters, in particular the on-site screened Coulomb interaction $U$, are calculated from first principles, using random-phase approximation. derive an expression frequency-dependent $U(\ensuremath{\omega})$ and show, case nickel, that its high-frequency part has significant influence on spectral functions. scheme taking into account energy dependence $U(\ensuremath{\omega})$, so model...

We propose a cellular version of dynamical-mean field theory which gives natural generalization its original single-site construction and is formulated in different sets variables. show how non-orthogonality the tight-binding basis enters problem prove that resulting equations lead to manifestly causal self energies.

We have formulated an auxiliary-boson mean-field theory consistent with the SU(2) symmetry of Heisenberg model. At half filling, we find infinite number solutions related by symmetry. Away from filling kinetic energy, acting as a symmetry-breaking field, selects superconducting state d-wave The describes bosons and fermions finite energy close to filling. derive self-consistent equations for transition temperature ${T}_{c}$. that ${T}_{c}$ vanishes at large small factors.

We compute the electronic structure, momentum resolved spectral function and optical conductivity of new superconductor LaO1-xFxFeAs within combination density functional theory dynamical mean field theory. find that compound in normal state is a strongly correlated metal parent bad at verge insulator transition. argue superconductivity not phonon mediated.

A recently developed dynamical mean-field theory, in the iterated perturbation theory approximation, was used as a basis for construction of `first-principles' calculation scheme investigating electronic structure strongly correlated electron systems. This is based on local density approximation (LDA) within framework linearized muffin-tin orbitals (LMTO) method. The classical example doped Mott insulator studied by new method, and results showed qualitative improvement when compared with...

A new class of high-temperature superconductors based on iron and arsenic was recently discovered (Kamihara et al 2008 J. Am. Chem. Soc. 130 3296), with the superconducting transition temperature as high 55 K (Ren Chin. Phys. Lett. 25 2215). Here we show, using microscopic theory, that normal state pnictides at temperatures is highly anomalous, displaying a very enhanced magnetic susceptibility linear dependence resistivity. Below coherence scale T*, resistivity sharply drops crosses over to...

We present an ab initio quantum theory of the finite-temperature magnetism iron and nickel. A recently developed technique which combines dynamical mean-field with realistic electronic structure methods successfully describes many-body features one electron spectra observed magnetic moments below above Curie temperature.

We address the nature of Mott transition in Hubbard model at half-filling using cluster dynamical mean field theory (DMFT). compare cluster-DMFT results with those single-site DMFT. show that inclusion short-range correlations on top on-site does not change order between paramagnetic metal and insulator, which remains first order. However, short range reduce substantially critical U modify shape lines. Moreover, they lead to very different physical properties metallic insulating phases near...

We calculate the electronic structure of Sr(2)RuO(4), treating correlations within dynamical mean-field theory. The approach successfully reproduces several experimental results and explains key properties this material: anisotropic mass renormalization quasiparticles crossover into an incoherent regime above a low temperature scale. While orbital differentiation originates from proximity van Hove singularity, strong are caused by Hund's coupling. generality mechanism for other correlated...

We investigate transport in strongly correlated metals. Within dynamical mean-field theory, we calculate the resistivity, thermopower, optical conductivity and thermodynamic properties of a hole-doped Mott insulator. Two well-separated temperature scales are identified: ${T}_{\mathrm{FL}}$ below which Landau Fermi liquid behavior applies, ${T}_{\mathrm{MIR}}$ above resistivity exceeds Mott-Ioffe-Regel value bad-metal is found. show that quasiparticle excitations remain well defined dominate...

Using a combination of perturbation theory and quantum Monte Carlo, we elucidate the behavior single-particle Green's function local spin-spin correlation near Mott transition in infinite dimensional Hubbard model at half filling. The has three fixed points: Fermi liquid phase qualitatively described by Brinkman-Rice picture, insulating resembling Hubbard's solution, an unstable point which connects two.

We constructed computer-based simulations of the lattice dynamical properties plutonium using an electronic structure method, which incorporates correlation effects among f-shell electrons and calculates phonon spectra at arbitrary wavelengths. Our predicted spectrum for face-centered cubic delta phase agrees well with experiments in elastic limit explains unusually large shear anisotropy this material. The body-centered shows instability zero temperature over a broad region wave vectors,...

We study the evolution of a Mott-Hubbard insulator into correlated metal upon doping in two-dimensional Hubbard model using cellular dynamical mean-field theory. Short-range spin correlations create two additional bands apart from familiar spectral function. Even tiny this causes jump Fermi energy to one these and an immediate momentum-dependent suppression weight at energy. The pseudogap is closely tied existence bands. This suggests strong-coupling mechanism that arises short-range large...