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 language | English |
|---|---|
| Pages (from-to) | 14325-14328 |
| Number of pages | 4 |
| Journal | Physical Review B |
| Volume | 43 |
| Issue number | 17 |
| DOIs | |
| Publication status | Published - 1991 |
| Externally published | Yes |
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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 journal › Article
}
TY - JOUR
T1 - Interband absorption spectra and Sommerfeld factors of a one-dimensional electron-hole system
AU - Ogawa, Tetsuo
AU - Takagahara, Toshihide
PY - 1991
Y1 - 1991
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0000542405&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0000542405&partnerID=8YFLogxK
U2 - 10.1103/PhysRevB.43.14325
DO - 10.1103/PhysRevB.43.14325
M3 - Article
AN - SCOPUS:0000542405
VL - 43
SP - 14325
EP - 14328
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 0163-1829
IS - 17
ER -