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.
The -matrices , , and for the two-band model with heavy and light electrons.
The -matrix approximation for the self-energies of a heavy particle. and are the full -matrices in the material. The diagrams for are analogous.
An exchange-type diagram for the self-energy which contains the matrix element and, thus, is absent in the Hubbard model.
The resistivity characteristics in a the 3D two-band model.
The resistivity in a superconducting material with a hidden heavy band for ( is an effective width of the heavy band).
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.
The 2D resistivity in a two-band model with one narrow band. It has a maximum and a localization tail at high temperatures .
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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