# Coulomb interaction and lattice theory of strongly correlated systems:I. Mean field equations for equilibrium positions of ions and band structure

- Authors
- Journal
- Physica B Condensed Matter 0921-4526
- Publisher
- Elsevier
- Publication Date
- Volume
- 162
- Issue
- 2
- Identifiers
- DOI: 10.1016/0921-4526(90)90046-w

## Abstract

Abstract The many-electron model of a solid with strongly correlated electrons is deduced from the microscopic picture of interacting nuclei and electrons. Long- and short-range parts of the Coulomb interaction are tackled in different ways: the former forms the lattice and the band structure, the latter is responsible for the structure of ions. The mean-field equations for the ions' equilibrium positions and band structures are obtained as a saddle-point approximation in the functional integral of the partition function. The self-consistent energy of intra-atomic electron transitions strongly depends on the density of conduction electrons even without mixing of localized and collectivized states.

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