### Abstract

Mean-field approximations are used to find approximate solutions to the one-electron equations for the electronic states in disordered alloys because ordinary band-theory approaches are not applicable. The first mean-field approximation, the coherent potential approximation, does not treat Coulomb effects correctly. This has been improved by changing the way the mean-field approximation is implemented. It may be that this experience with mean-field approximations will be useful to the combination of many-body theory and mean-field theory that has produced the dynamical coherent potential approximation and dynamical mean field theory for treating strongly correlated electron systems.

Original language | English |
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Pages (from-to) | 2661-2671 |

Number of pages | 11 |

Journal | Philosophical Magazine |

Volume | 86 |

Issue number | 17-18 |

DOIs | |

Publication status | Published - Jun 11 2006 |

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### ASJC Scopus subject areas

- Philosophy

### Cite this

*Philosophical Magazine*,

*86*(17-18), 2661-2671. https://doi.org/10.1080/14786430500398417

**Mean-field approximations for the electronic states in disordered alloys.** / Faulkner, J. S.; Pella, S.; Rusanu, A.; Puzyrev, Y.; Leventouri, Th; Stocks, G. M.; Újfalussy, B.

Research output: Contribution to journal › Article

*Philosophical Magazine*, vol. 86, no. 17-18, pp. 2661-2671. https://doi.org/10.1080/14786430500398417

}

TY - JOUR

T1 - Mean-field approximations for the electronic states in disordered alloys

AU - Faulkner, J. S.

AU - Pella, S.

AU - Rusanu, A.

AU - Puzyrev, Y.

AU - Leventouri, Th

AU - Stocks, G. M.

AU - Újfalussy, B.

PY - 2006/6/11

Y1 - 2006/6/11

N2 - Mean-field approximations are used to find approximate solutions to the one-electron equations for the electronic states in disordered alloys because ordinary band-theory approaches are not applicable. The first mean-field approximation, the coherent potential approximation, does not treat Coulomb effects correctly. This has been improved by changing the way the mean-field approximation is implemented. It may be that this experience with mean-field approximations will be useful to the combination of many-body theory and mean-field theory that has produced the dynamical coherent potential approximation and dynamical mean field theory for treating strongly correlated electron systems.

AB - Mean-field approximations are used to find approximate solutions to the one-electron equations for the electronic states in disordered alloys because ordinary band-theory approaches are not applicable. The first mean-field approximation, the coherent potential approximation, does not treat Coulomb effects correctly. This has been improved by changing the way the mean-field approximation is implemented. It may be that this experience with mean-field approximations will be useful to the combination of many-body theory and mean-field theory that has produced the dynamical coherent potential approximation and dynamical mean field theory for treating strongly correlated electron systems.

UR - http://www.scopus.com/inward/record.url?scp=33646943870&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646943870&partnerID=8YFLogxK

U2 - 10.1080/14786430500398417

DO - 10.1080/14786430500398417

M3 - Article

AN - SCOPUS:33646943870

VL - 86

SP - 2661

EP - 2671

JO - Philosophical Magazine

JF - Philosophical Magazine

SN - 1478-6435

IS - 17-18

ER -