Publication

Excitonic Bloch equations for a two-dimensional system of interacting excitons

Vincenzo Savona
2000
Journal Articles

Abstract

We derive the effective Bose Hamiltonian for a system of interacting excitons applying the Usui transformation. The fermionic nonlinearities are consistently included, leading to a density dependent correction to the kinetic Hamiltonian and to a saturation of the exciton oscillator strength. The exciton-exciton interaction potentials due to the Coulomb interaction are calculated, accounting for the spin dependence. Starting from the effective Hamiltonian, we obtain the excitonic Bloch equations. As a first application, we study the problem of excitonic Rabi oscillations in quantum wells.

Official source

https://infoscience.epfl.ch/entities/publication/f587028d-ad2e-4367-b3d1-f1c0eec8d90e

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Vincenzo Savona
2000
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/f587028d-ad2e-4367-b3d1-f1c0eec8d90e

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.

Hamiltonian (quantum mechanics)

In quantum mechanics, the Hamiltonian of a system is an operator corresponding to the total energy of that system, including both kinetic energy and potential energy. Its spectrum, the system's energy spectrum or its set of energy eigenvalues, is the set of possible outcomes obtainable from a measurement of the system's total energy. Due to its close relation to the energy spectrum and time-evolution of a system, it is of fundamental importance in most formulations of quantum theory.

Quantum dot

Quantum dots (QDs) – also called semiconductor nanocrystals, are semiconductor particles a few nanometres in size, having optical and electronic properties that differ from those of larger particles as a result of quantum mechanics. They are a central topic in nanotechnology and materials science. When the quantum dots are illuminated by UV light, an electron in the quantum dot can be excited to a state of higher energy. In the case of a semiconducting quantum dot, this process corresponds to the transition of an electron from the valence band to the conductance band.

Related publications (14)

Excitonic Bloch equations for a two-dimensional system of interacting excitons

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