Publication

Variational Calculation of Fano Linewidth - Application to Excitons in Quantum-Wells

Alfredo Pasquarello
1991
Journal Articles

Abstract

A procedure for calculating the resonance width of a state degenerate with a continuum is proposed. It is based on a diagonalization of the Hamiltonian on a finite variational basis followed by application of the Fano theory on the resulting eigenstates. The method is first tested on a one-dimensional model that admits an exact solution, and then applied to the problem of the light-hole (LH) exciton in narrow GaAs-Ga(1-x)Al(x)As quantum wells. The resonance width of the LH exciton is found to be of the order of a meV, and to increase as the well width is reduced.

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https://infoscience.epfl.ch/entities/publication/fe8b6aad-272c-4b91-85bf-2aa21fed5d6d

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Alfredo Pasquarello
1991
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/fe8b6aad-272c-4b91-85bf-2aa21fed5d6d

About this result

Related concepts (32)

Quantum well

A quantum well is a potential well with only discrete energy values. The classic model used to demonstrate a quantum well is to confine particles, which were initially free to move in three dimensions, to two dimensions, by forcing them to occupy a planar region. The effects of quantum confinement take place when the quantum well thickness becomes comparable to the de Broglie wavelength of the carriers (generally electrons and holes), leading to energy levels called "energy subbands", i.e.

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.

Quantum mechanics

Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science. Classical physics, the collection of theories that existed before the advent of quantum mechanics, describes many aspects of nature at an ordinary (macroscopic) scale, but is not sufficient for describing them at small (atomic and subatomic) scales.

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