Pseudogaps in strongly correlated metals: A generalized dynamical mean-field theory approach

Sadovskiǐ, M. V.; Некрасов, И. А.; Kuchinskiǐ, É. Z.; Pruschke, Thomas; Анисимов, В. И.

doi:10.1103/physrevb.72.155105

Cited by 147 publications

(191 citation statements)

References 48 publications

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“…This is due to the basic approximation of the DMFT, which amounts to the complete neglect of nonlocal dynamical correlation effects. The aim of the present paper is to describe the main results of a semiphenomenological approach, formulated by us recently to overcome this difficulty [11].…”

Section: >>mentioning

confidence: 99%

Pseudogaps: introducing the length scale into dynamical mean-field theory

Kuchinskiǐ

Некрасов

Sadovskiǐ

2006

Low Temperature Physics

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Pseudogap physics in strongly correlated systems is essentially scale dependent. We generalize the dynamical mean-field theory (DMFT) by introducing into the DMFT equations dependence on the correlation length of pseudogap fluctuations via an additional (momentum-dependent) self-energy S k . This self-energy describes nonlocal dynamical correlations induced by short-ranged collective SDW-like antiferromagnetic spin (or CDW-like charge) fluctuations. At high enough temperatures these fluctuations can be viewed as a quenched Gaussian random field with finite correlation length. This generalized DMFT + S k approach is used for the numerical solution of the weakly doped one-band Hubbard model with repulsive Coulomb interaction on a square lattice with nearest and next nearest neighbor hopping. The effective single impurity problem is solved by the numerical renormalization group (NRG). Both types of strongly correlated metals, namely (i) the doped Mott insulator and (ii) the case of bandwidth W U (U is the value of local Coulomb interaction) are considered. Densities of states, spectral functions and ARPES spectra calculated within DMFT + S k show a pseudogap formation near the Fermi level of the quasiparticle band. We also briefly discuss effects of random impurity scattering. Finally we demonstrate the qualitative picture of Fermi surface «destruction» due to pseudogap fluctuations and formation of «Fermi arcs» which agrees well with ARPES observations.

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Section: >>mentioning

confidence: 99%

Pseudogaps: introducing the length scale into dynamical mean-field theory

Kuchinskiǐ

Некрасов

Sadovskiǐ

2006

Low Temperature Physics

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“…41,62,63 and employed by us to calculate the ARPES spectra of SrVO 3 . 62 ARPES computations have previously been performed also for the 2D Hubbard model by Maier et al 64 in the framework of the dynamical cluster approximation (DCA), 65 and by Sadovskii et al 66 within the so-called DMFT+Σ k approach.…”

Section: High-energy Bulk Arpes Experimentsmentioning

confidence: 99%

Evidence for strong electronic correlations in the spectra ofSr2RuO4

et al. 2007

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The importance of electronic correlation effects in the layered perovskite Sr2RuO4 is evidenced. To this end we use state-of-the-art LDA+DMFT (Local Density Approximation + Dynamical MeanField Theory) in the basis of Wannier functions to compute spectral functions and the quasiparticle dispersion of Sr2RuO4. The spectra are found to be in good agreement with various spectroscopic experiments. We also calculate the k-dependence of the quasiparticle bands and compare the results with new angle resolved photoemission (ARPES) data. Two typical manifestations of strong Coulomb correlations are revealed: (i) the calculated quasiparticle mass enhancement of m * /m ≈ 2.5 agrees with various experimental results, and (ii) the satellite structure at about 3 eV binding energy observed in photoemission experiments is shown to be the lower Hubbard band. For these reasons Sr2RuO4 is identified as a strongly correlated 4d electron material.

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“…Generalized DMFT+Σ approach [14][15][16][17] extends the standard DMFT [5][6][7] introducing an additional self-energy Σ p (ε) (in general case momentum dependent), which is due to some interaction mechanism outside the DMFT. It gives an effective procedure to calculate both single-and two-particle properties [18,21].…”

Section: The Basics Of Dmft+σ Approach In Disordered Systemsmentioning

confidence: 99%

“…Actually, in the system of self -consistent equations DMFT+Σ equations [15,17,18] both the "bare" band spectrum and disorder scattering enter only on the stage of calculations of the local Green's function:…”

Section: The Basics Of Dmft+σ Approach In Disordered Systemsmentioning

confidence: 99%

“…In recent years we have developed the so called generalized DMFT+Σ approach [14][15][16][17], which is very convenient for the studies of different additional interactions in repulsive Hubbard model, such as pseudogap fluctuations [14][15][16][17], disorder [18,19], electron -phonon interaction [20]) etc. This approach is also well suited to analyze twoparticle properties, such as optical (dynamic) conductivity [18,21].…”

Section: Introductionmentioning

confidence: 99%

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DMFT+Σ approach to disordered hubbard model

Kuchinskiǐ¹,

Sadovskiǐ²

2016

J. Exp. Theor. Phys.

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We briefly review the generalized dynamical mean-field theory DMFT+Σ treatment of both repulsive and attractive disordered Hubbard models. We examine the general problem of metal-insulator transition and the phase diagram in repulsive case, as well as BCS-BEC crossover region of attractive model, demonstrating certain universality of single -electron properties under disordering in both models. We also discuss and compare the results for the density of states and dynamic conductivity in both repulsive and attractive case and the generalized Anderson theorem behavior for superconducting critical temperature in disordered attractive case. A brief discussion of Ginzburg -Landau coefficients behavior under disordering in BCS-BEC crossover region is also presented.

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Pseudogaps in strongly correlated metals: A generalized dynamical mean-field theory approach

Abstract: We generalize the dynamical-mean field (DMFT) approximation by including into the DMFT equations some length scale ξ via a momentum dependent "external" self-energy Σ k . This external self-energy describes non-local dynamical correlations induced by short-ranged collective SDW-

Cited by 147 publications

References 48 publications

Pseudogaps: introducing the length scale into dynamical mean-field theory

Pseudogaps: introducing the length scale into dynamical mean-field theory

Evidence for strong electronic correlations in the spectra ofSr2RuO4

DMFT+Σ approach to disordered hubbard model

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