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

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 ∑k. Thi...

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Date:2006
Main Authors: Kuchinskii, E.Z., Nekrasov, I.A., Sadovskii, V.M.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2006
Series:Физика низких температур
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/120182
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Pseudogaps: introducing the length scale into dynamical mean-field theory / E.Z. Kuchinskii, I.A. Nekrasov, V.M. Sadovskii // Физика низких температур. — 2006. — Т. 32, № 4-5. — С. 528–537. — Бібліогр.: 23 назв. — англ.

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spelling irk-123456789-1201822017-06-12T03:04:30Z Pseudogaps: introducing the length scale into dynamical mean-field theory Kuchinskii, E.Z. Nekrasov, I.A. Sadovskii, V.M. Pseudogap 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 ∑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 + ∑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 + ∑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. 2006 Article Pseudogaps: introducing the length scale into dynamical mean-field theory / E.Z. Kuchinskii, I.A. Nekrasov, V.M. Sadovskii // Физика низких температур. — 2006. — Т. 32, № 4-5. — С. 528–537. — Бібліогр.: 23 назв. — англ. 0132-6414 PACS: 71.10.Fd, 71.10.Hf, 71.27.+a, 71.30.+h, 74.72.–h http://dspace.nbuv.gov.ua/handle/123456789/120182 en Физика низких температур Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
topic Pseudogap
Pseudogap
spellingShingle Pseudogap
Pseudogap
Kuchinskii, E.Z.
Nekrasov, I.A.
Sadovskii, V.M.
Pseudogaps: introducing the length scale into dynamical mean-field theory
Физика низких температур
description 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 ∑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 + ∑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 + ∑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.
format Article
author Kuchinskii, E.Z.
Nekrasov, I.A.
Sadovskii, V.M.
author_facet Kuchinskii, E.Z.
Nekrasov, I.A.
Sadovskii, V.M.
author_sort Kuchinskii, E.Z.
title Pseudogaps: introducing the length scale into dynamical mean-field theory
title_short Pseudogaps: introducing the length scale into dynamical mean-field theory
title_full Pseudogaps: introducing the length scale into dynamical mean-field theory
title_fullStr Pseudogaps: introducing the length scale into dynamical mean-field theory
title_full_unstemmed Pseudogaps: introducing the length scale into dynamical mean-field theory
title_sort pseudogaps: introducing the length scale into dynamical mean-field theory
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
publishDate 2006
topic_facet Pseudogap
url http://dspace.nbuv.gov.ua/handle/123456789/120182
citation_txt Pseudogaps: introducing the length scale into dynamical mean-field theory / E.Z. Kuchinskii, I.A. Nekrasov, V.M. Sadovskii // Физика низких температур. — 2006. — Т. 32, № 4-5. — С. 528–537. — Бібліогр.: 23 назв. — англ.
series Физика низких температур
work_keys_str_mv AT kuchinskiiez pseudogapsintroducingthelengthscaleintodynamicalmeanfieldtheory
AT nekrasovia pseudogapsintroducingthelengthscaleintodynamicalmeanfieldtheory
AT sadovskiivm pseudogapsintroducingthelengthscaleintodynamicalmeanfieldtheory
first_indexed 2025-07-08T17:24:01Z
last_indexed 2025-07-08T17:24:01Z
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