Interband absorption spectra and Sommerfeld factors of a one-dimensional electron-hole system

Tetsuo Ogawa, Toshihide Takagahara

Research output: Contribution to journalArticle

152 Citations (Scopus)

Abstract

Optical absorption spectra are exactly calculated for direct interband transitions in a one-dimensional (1D) electron-hole system within the effective-mass approximation. We employ a modified Coulomb potential between an electron and a hole to avoid the well-known divergence problem in the 1D system. The Sommerfeld factor, which is the absorption intensity ratio of the unbound exciton to the free electron-hole pair above the band edge, is found for the first time to be less than unity for the direct allowed transition in striking contrast to the three- and two-dimensional cases. This feature can be understood in terms of anomalously strong concentration of oscillator strength on the lowest 1D exciton state.

Original languageEnglish
Pages (from-to)14325-14328
Number of pages4
JournalPhysical Review B
Volume43
Issue number17
DOIs
Publication statusPublished - 1991
Externally publishedYes

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Absorption spectra
absorption spectra
Excitons
Electrons
excitons
Electron transitions
Light absorption
Coulomb potential
oscillator strengths
free electrons
optical spectrum
unity
divergence
optical absorption
approximation
LDS 751

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Interband absorption spectra and Sommerfeld factors of a one-dimensional electron-hole system. / Ogawa, Tetsuo; Takagahara, Toshihide.

In: Physical Review B, Vol. 43, No. 17, 1991, p. 14325-14328.

Research output: Contribution to journalArticle

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