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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| Datum: | 2006 |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2006
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| Zitieren: | 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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Kuchinskii, E.Z. Nekrasov, I.A. Sadovskii, V.M. 2017-06-11T12:00:20Z 2017-06-11T12:00:20Z 2006 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 https://nasplib.isofts.kiev.ua/handle/123456789/120182 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. We are grateful to Th. Pruschke for providing us with his NRG code and helpful discussions. This work was supported in part by RFBR grants 05-02-16301, 05-02-17244, and programs of the Presidium of the Russian Academy of Sciences (RAS) «Quantum macrophysics» and of the Division of Physical Sciences of the RAS «Strongly correlated electrons in semiconductors, metals, superconductors and magnetic materials». I.N. acknowledges support from the Dynasty Foundation and International Centre for Fundamental Physics in Moscow program for young scientists 2005 and Russian Science Support Foundation program for young PhD of the Russian Academy of Sciences 2005. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Pseudogap Pseudogaps: introducing the length scale into dynamical mean-field theory Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Pseudogaps: introducing the length scale into dynamical mean-field theory |
| spellingShingle |
Pseudogaps: introducing the length scale into dynamical mean-field theory Kuchinskii, E.Z. Nekrasov, I.A. Sadovskii, V.M. Pseudogap |
| 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 |
| author |
Kuchinskii, E.Z. Nekrasov, I.A. Sadovskii, V.M. |
| author_facet |
Kuchinskii, E.Z. Nekrasov, I.A. Sadovskii, V.M. |
| topic |
Pseudogap |
| topic_facet |
Pseudogap |
| publishDate |
2006 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| 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.
|
| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.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. |
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AT kuchinskiiez pseudogapsintroducingthelengthscaleintodynamicalmeanfieldtheory AT nekrasovia pseudogapsintroducingthelengthscaleintodynamicalmeanfieldtheory AT sadovskiivm pseudogapsintroducingthelengthscaleintodynamicalmeanfieldtheory |
| first_indexed |
2025-12-02T04:17:12Z |
| last_indexed |
2025-12-02T04:17:12Z |
| _version_ |
1850861502435688448 |