### Abstract

Some features of the absorption and luminescence spectra of excitons in disordered 2D semiconductors appear to be nearly universal over a wide range of samples. In particular, the offset of the peaks of these two spectra is proportional to their linewidths, over a range of two orders of magnitude. The authors show that the relationship between these spectra can be understood in terms of the statistical properties of a Gaussian random function: the absorption spectrum is proportional to the probability distribution of the function itself, whereas the luminescence spectrum is proportional to the distribution of the heights of the minima of the function.

Original language | English |
---|---|

Article number | 019 |

Pages (from-to) | 8863-8878 |

Number of pages | 16 |

Journal | Journal of Physics: Condensed Matter |

Volume | 4 |

Issue number | 45 |

DOIs | |

Publication status | Published - 1 Dec 1992 |

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### Keywords

- exciton luminescence
- adsorption spectrum
- quantum wells

### Cite this

*Journal of Physics: Condensed Matter*,

*4*(45), 8863-8878. [019]. https://doi.org/10.1088/0953-8984/4/45/019

}

*Journal of Physics: Condensed Matter*, vol. 4, no. 45, 019, pp. 8863-8878. https://doi.org/10.1088/0953-8984/4/45/019

**A statistical topographic model for exciton luminescence spectra.** / Wilkinson, M.; Yang, Fang; Austin, E. J.; O'Donnell, K. P.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A statistical topographic model for exciton luminescence spectra

AU - Wilkinson, M.

AU - Yang, Fang

AU - Austin, E. J.

AU - O'Donnell, K. P.

PY - 1992/12/1

Y1 - 1992/12/1

N2 - Some features of the absorption and luminescence spectra of excitons in disordered 2D semiconductors appear to be nearly universal over a wide range of samples. In particular, the offset of the peaks of these two spectra is proportional to their linewidths, over a range of two orders of magnitude. The authors show that the relationship between these spectra can be understood in terms of the statistical properties of a Gaussian random function: the absorption spectrum is proportional to the probability distribution of the function itself, whereas the luminescence spectrum is proportional to the distribution of the heights of the minima of the function.

AB - Some features of the absorption and luminescence spectra of excitons in disordered 2D semiconductors appear to be nearly universal over a wide range of samples. In particular, the offset of the peaks of these two spectra is proportional to their linewidths, over a range of two orders of magnitude. The authors show that the relationship between these spectra can be understood in terms of the statistical properties of a Gaussian random function: the absorption spectrum is proportional to the probability distribution of the function itself, whereas the luminescence spectrum is proportional to the distribution of the heights of the minima of the function.

KW - exciton luminescence

KW - adsorption spectrum

KW - quantum wells

UR - http://www.scopus.com/inward/record.url?scp=0001546410&partnerID=8YFLogxK

U2 - 10.1088/0953-8984/4/45/019

DO - 10.1088/0953-8984/4/45/019

M3 - Article

VL - 4

SP - 8863

EP - 8878

JO - Journal of Physics: Condensed Matter

JF - Journal of Physics: Condensed Matter

SN - 0953-8984

IS - 45

M1 - 019

ER -