Publication

Quantum Many-Body States of Excitons in a Small Quantum-Dot

Marc-André Dupertuis
1995
Journal Articles

Abstract

Quantum many-body states of up to four excitons are studied in small parallelepipedal quantum dots with only two nondegenerate electronic levels in the conduction and in the valence bands. Only one type of hole is considered. We find the set of good quantum numbers (including spin variables for the electrons and holes) which block-diagonalizes the Coulomb and the optical dipole interactions. This provides a convenient labeling scheme for the excited states which allows us to diagonalize nearly entirely analytically the 256 x 256 Hamiltonian. The magnitude of the Coulomb level shifts and of the oscillator strength of the optical transitions are shown for a typical case.

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https://infoscience.epfl.ch/entities/publication/1f7693e3-e75c-40f1-9108-ac34db9ef1df

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Marc-André Dupertuis
1995
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/1f7693e3-e75c-40f1-9108-ac34db9ef1df

About this result

Related concepts (32)

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.

Quantum number

In quantum physics and chemistry, quantum numbers describe values of conserved quantities in the dynamics of a quantum system. Quantum numbers correspond to eigenvalues of operators that commute with the Hamiltonian—quantities that can be known with precision at the same time as the system's energy—and their corresponding eigenspaces. Together, a specification of all of the quantum numbers of a quantum system fully characterize a basis state of the system, and can in principle be measured together.

Valence and conduction bands

In solid-state physics, the valence band and conduction band are the bands closest to the Fermi level, and thus determine the electrical conductivity of the solid. In nonmetals, the valence band is the highest range of electron energies in which electrons are normally present at absolute zero temperature, while the conduction band is the lowest range of vacant electronic states. On a graph of the electronic band structure of a semiconducting material, the valence band is located below the Fermi level, while the conduction band is located above it.

Related publications (32)

Quantum Many-Body States of Excitons in a Small Quantum-Dot

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