Exact eigenvalue equation for a finite and infinite collection of muffin-tin potentials

E. Badralexe, Arthur J Freeman

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

The integral eigenvalue equation of the Hamiltonian with a finite-range potential is transformed so as to explicitly take into account the particular structure of a potential consisting of a finite collection of nonoverlapping, muffin-tin type individual potentials (scatterers). The separation between structure and potential, thought to be obtained as an exact result in the framework of multiple-scattering theory, is found to represent an approximation which originates in having considered what is only a necessary condition to be both necessary and sufficient. As an application, the equation for the energy levels of a muffin-tin periodic potential is discussed and shown to be represented by the Korringa-Kohn-Rostoker equation only as an approximate result.

Original languageEnglish
Pages (from-to)10469-10474
Number of pages6
JournalPhysical Review B
Volume37
Issue number18
DOIs
Publication statusPublished - 1988

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Tin
tin
eigenvalues
Hamiltonians
Multiple scattering
Electron energy levels
scattering
energy levels
approximation

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Exact eigenvalue equation for a finite and infinite collection of muffin-tin potentials. / Badralexe, E.; Freeman, Arthur J.

In: Physical Review B, Vol. 37, No. 18, 1988, p. 10469-10474.

Research output: Contribution to journalArticle

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