Impact of the valence band structure ofCu2Oon excitonic spectra
| Autor: | Frank Schweiner, Günter Wunner, Christoph Uihlein, Matthias Feldmaier, Jörg Main |
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| Rok vydání: | 2016 |
| Předmět: |
Physics
Condensed Matter - Materials Science Quantum Physics Condensed Matter - Mesoscale and Nanoscale Physics Condensed matter physics Exciton Exchange interaction Materials Science (cond-mat.mtrl-sci) FOS: Physical sciences 02 engineering and technology 021001 nanoscience & nanotechnology 01 natural sciences Spectral line Momentum Mesoscale and Nanoscale Physics (cond-mat.mes-hall) 0103 physical sciences Center of mass Quantum Physics (quant-ph) 010306 general physics 0210 nano-technology Electronic band structure Luttinger parameter Basis set |
| Zdroj: | Physical Review B. 93 |
| ISSN: | 2469-9969 2469-9950 |
| Popis: | We present a method to calculate the exciton spectra of all direct semiconductors with a complex valence band structure. The Schr\"odinger equation is solved using a complete basis set with Coulomb Sturmian functions. This method also allows for the computation of oscillator strengths. Here we apply this method to investigate the impact of the valence band structure of cuprous oxide $\left(\mathrm{Cu_{2}O}\right)$ on the yellow exciton spectrum. Results differ from those in [Phys. Rev. Lett. 115, 027402 (2015)]; the differences are discussed and explained. The difference between the second and third Luttinger parameter can be determined by comparisons with experiments, however, the evaluation of all three Luttinger parameters is not uniquely possible. Our results are consistent with band structure calculations. Considering also a finite momentum $\hbar K$ of the center of mass, we show that the large $K$-dependent line splitting observed for the $1S$ exciton state [Phys. Rev. Lett. 91, 107401 (2003)] is not related to an exchange interaction but rather to the complex valence band structure of $\mathrm{Cu_{2}O}$. Comment: Some corrections and improvements. Accepted for publication in Phys. Rev. B |
| Databáze: | OpenAIRE |
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