Publication

One-dimensional model of many-exciton effects in photoluminescence spectra

Vincenzo Savona
2000
Conference Papers

Abstract

We solve numerically in one dimension and in the self-consistent ladder approximation the many-body problem of interacting electrons and holes. The model contains the minimal ingredients allowing to take into account the coexistence of a population of bound excitonic states with weakly correlated e-h pairs. A simplified contact potential for the Coulomb interaction is used. The strong e-h correlation leads to asymmetric single particle spectral functions with structures related to bound excitonic states. This asymmetry becomes more pronounced at low temperature when the formation of a dense exciton gas occurs. We discuss the role of the many-exciton effects by comparing the photoluminescence peak energies obtained in the ladder and Hartree-Fock approximation.

Official source

https://infoscience.epfl.ch/entities/publication/b709b693-909d-4eb2-b5df-0198056641dc

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Vincenzo Savona
2000
Conference Papers

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/b709b693-909d-4eb2-b5df-0198056641dc

About this result

Related concepts (32)

Exciton

An exciton is a bound state of an electron and an electron hole which are attracted to each other by the electrostatic Coulomb force. It is an electrically neutral quasiparticle that exists in insulators, semiconductors and some liquids. The exciton is regarded as an elementary excitation of condensed matter that can transport energy without transporting net electric charge. An exciton can form when a material absorbs a photon of higher energy than its bandgap. This excites an electron from the valence band into the conduction band.

Numerical analysis

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt at finding approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences, medicine, business and even the arts.

Numerical stability

In the mathematical subfield of numerical analysis, numerical stability is a generally desirable property of numerical algorithms. The precise definition of stability depends on the context. One is numerical linear algebra and the other is algorithms for solving ordinary and partial differential equations by discrete approximation. In numerical linear algebra, the principal concern is instabilities caused by proximity to singularities of various kinds, such as very small or nearly colliding eigenvalues.

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One-dimensional model of many-exciton effects in photoluminescence spectra

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