# Electron correlations in narrow energy bands

@article{Hubbard1963ElectronCI, title={Electron correlations in narrow energy bands}, author={J. Hubbard}, journal={Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences}, year={1963}, volume={276}, pages={238 - 257} }

It is pointed out that one of the main effects of correlation phenomena in d- and f-bands is to give rise to behaviour characteristic of the atomic or Heitler-London model. To investigate this situation a simple, approximate model for the interaction of electrons in narrow energy bands is introduced. The results of applying the Hartree-Fock approximation to this model are examined. Using a Green function technique an approximate solution of the correlation problem for this model is obtained…

## 4,511 Citations

### Correlation Effects on the Spin Susceptibility of Narrow-Band Electrons

- Physics
- 1973

To investigate the effects of electron correlation in narrow energy bands, a general formula of static spin susceptibility for interacting electron systems is derived. It is expressed in terms of the…

### On correlation effects in a narrow-band model with electron–hole asymmetry

- Physics
- 1999

Some correlation effects are studied in a narrow-band model with electron–hole asymmetry. A peculiar feature of the model is that it takes into account the hopping integral associated with…

### Impurity Band Conduction with Strong Electron Correlations

- Physics
- 1968

The effects of strong electron correlations on impurity band conduction in semiconductors are investigated following Hubbard's method. The random nature of the system is taken into account by…

### Kondo interaction and strongly correlated electrons

- Physics
- 1994

A study is made of a system of strongly correlated electrons that are localized on a lattice and coupled to the free electrons by the 4-fermion interaction proposed by Kondo. A realistic Hamiltonian…

### Cohesive energy in strongly correlated electronic systems in the non-degenerate band approximation

- Physics
- 1983

The electronic contribution to the cohesive energy is calculated in narrow band systems where the splitting of bands due to intra-atomic correlation is larger than the band width by solving the…

### Electrical Conduction in a Narrow Band. III. Green Function Method

- Physics
- 1971

The mobility problem of a hole in a narrow s -band is studied from the point of view of the scattering theory on the basis of the Hubbard model. This formalism is appropriate when the spins are…

### Ab initio calculations of quasiparticle band structure in correlated systems: LDA++ approach

- Physics
- 1998

We discuss a general approach to a realistic theory of the electronic structure in materials containing correlated $d$ or $f$ electrons. The main feature of this approach is the taking into account…

### Dynamical Electron Correlations in Metals: Tb-Lmto and Multiband Hubbard Hamiltonian

- Physics
- 1999

A general scheme for determination of the electronic structure of solids with correlated electrons is still missing. The density functional formalism within the local density approximation (LDA), in…

## References

SHOWING 1-2 OF 2 REFERENCES

### A Collective Description of-Electron Interactions: III. Coulomb Interactions in a Degenerate Electron Gas

- Physics
- 1953

The behavior of the electrons in a dense electron gas is analyzed quantum-mechanically by a series of canonical transformations. The usual Hamiltonian corresponding to a system of individual…

### The Theory of Atomic Spectra

- Physics
- 1935

1. Introduction 2. The quantum mechanical method 3. Angular momentum 4. The theory of radiation 5. One-electron spectra 6. The central-field approximation 7. The Russell-Saunders case: energy levels…