Friedel-type sum rule for a general periodic potential

E. Badralexe, Arthur J Freeman

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

By using the continual direct-sum decomposition obtained previously for the t operators, it is shown that the change of the density of states in the presence of a general (non-muffin-tin) periodic potential can be given in a determinant form involving only the on-shell t matrix. The result obtained is close to the usual Friedel sum rule of scattering theory which, however, relies strongly on the existence of asymptotic free motion and hence, on the existence of the phase-shift motion. Thus, since the periodic potential does not allow for the existence of asymptotic free motion, the present result illustrates a rather general trace property of the resolvent, which appears to be independent of the very different boundary conditions in the two cases.

Original languageEnglish
Pages (from-to)1401-1405
Number of pages5
JournalPhysical Review B
Volume36
Issue number3
DOIs
Publication statusPublished - 1987

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Tin
Phase shift
sum rules
Boundary conditions
Scattering
Decomposition
determinants
tin
phase shift
boundary conditions
decomposition
operators
matrices
scattering

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  • Condensed Matter Physics

Cite this

Friedel-type sum rule for a general periodic potential. / Badralexe, E.; Freeman, Arthur J.

In: Physical Review B, Vol. 36, No. 3, 1987, p. 1401-1405.

Research output: Contribution to journalArticle

Badralexe, E. ; Freeman, Arthur J. / Friedel-type sum rule for a general periodic potential. In: Physical Review B. 1987 ; Vol. 36, No. 3. pp. 1401-1405.
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