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Stark Effect in Self‐Assembled Quantum Dots with Lens Shape
Author(s) -
Rodríguez A.H.,
TralleroGiner C.
Publication year - 2002
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(200204)230:2<463::aid-pssb463>3.0.co;2-m
Subject(s) - hamiltonian (control theory) , wave function , physics , electric field , eigenfunction , lens (geology) , stark effect , electron , quantum mechanics , quantum confined stark effect , boundary value problem , optics , eigenvalues and eigenvectors , mathematics , mathematical optimization
The electronic states of a self‐assembled quantum lens (SAQL) under application of a normal electric field are theoretically investigated for different values of the electric field and lens geometry. Using a conformal analytical image, the lens boundary and the one particle Hamiltonian are mapped into an equivalent operator defined in a semi‐spherical boundary. The complete set of solutions for the Stark effect in a quantum lens confined by an infinite barrier is reported. The numerical calculations indicate that the interplay of the lens geometry and the electric field on electrons in the SAQL leads to complicated electron eigenenergies and eigenfunctions. Also, the interactions between states with the same symmetry and anticrossing effects on the energy levels and wavefunctions sharing the same z ‐angular momentum components are analyzed.