Constant Interaction Model – An Adequate Description for the Confined Electron System in a Quantum Dot?

Hamiltonian of n interacting electrons in a confining potential (quantum dot). The electron-electron interaction is described by an electrostatic Green’s function, specific for the quantum dot.
© MPI-FKF / J. Weis

The quantum mechanical description of the confined electron system in a quantum dot requires an adequate ansatz for the Hamiltonian taking into account the electrostatic environment seen by the electrons in the quantum dot. Especially the electron-electron interaction might be weakened, deviating from a pure Coulomb interaction potential. At large dot size, the electron-electron interaction dominates, with decreasing dot size the quantization of single-particle eigenenergies due to the confinement becomes more and more important.


Models of quantum dots
P.A. Maksym, L.D. Hallam, J. Weis
Physica B 212, 213 (1995)

Screening of the electron-electron interaction by gate electrodes in semiconductor quantum dots
L.D. Hallam, J. Weis, P.A. Maksym
Physical Review B 53, 1452 (1996)

Single-electron devices (pdf)
J. Weis
Springer Lecture Series – CFN Lectures on Functional Nanostructures 658, 87-121 (2005)


Einzelelektron-Tunneltransistor: Transportspektroskopie der elektronischen Grund-
und Anregungszustände in einem GaAs/AlxGa1-x As-Quantentopf

Jürgen Weis, Dissertation, Universität Stuttgart (1994)

Electrical Transport Through Quantum Dot Systems (pdf)
Jürgen Weis, Habilitation Thesis, Universität Stuttgart (2002)

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