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Anomalous resistivity and superconductivity in the two-band Hubbard model with one narrow band (Review)
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View: Figures


Image of FIG. 1.
FIG. 1.

The band structure in the two-band model with one narrow band. and are the bandwidths of heavy and light electrons, and are the Fermi energies, is the energy difference between the bottoms of the heavy and light bands, and is chemical potential.

Image of FIG. 2.
FIG. 2.

The -matrices , , and for the two-band model with heavy and light electrons.

Image of FIG. 3.
FIG. 3.

The -matrix approximation for the self-energies of a heavy particle. and are the full -matrices in the material. The diagrams for are analogous.

Image of FIG. 4.
FIG. 4.

An exchange-type diagram for the self-energy which contains the matrix element and, thus, is absent in the Hubbard model.

Image of FIG. 5.
FIG. 5.

The resistivity characteristics in a the 3D two-band model.

Image of FIG. 6.
FIG. 6.

The resistivity in a superconducting material with a hidden heavy band for ( is an effective width of the heavy band).

Image of FIG. 7.
FIG. 7.

Multiple scattering of light particle on heavy particles in between collisions of light particles on light particles. is the diffusive length, is the elastic length, and are the diffusion coefficient and Fermi velocity of the light electrons, and and are the elastic time for scattering of light electrons on heavy electrons and the inelastic (decoherence) time.

Image of FIG. 8.
FIG. 8.

The 2D resistivity in a two-band model with one narrow band. It has a maximum and a localization tail at high temperatures .

Image of FIG. 9.
FIG. 9.

The leading contribution to the effective interaction for -wave pairing of heavy particles through polarization of light particles. The open circles represent the vacuum -matrix .


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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Anomalous resistivity and superconductivity in the two-band Hubbard model with one narrow band (Review)