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Zeeman Effect in Self‐Assembled Quantum Dots
Author(s) -
López Gondar J.,
Costa B.,
TralleroGiner C.,
Marques G.
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<437::aid-pssb437>3.0.co;2-i
Subject(s) - zeeman effect , quantum dot , magnetic field , physics , landau quantization , wave function , condensed matter physics , radius , zeeman energy , quantum mechanics , quantum electrodynamics , computer security , computer science
The Zeeman splitting in self‐assembled quantum dots (QD) has been studied in the strong confinement regime. The QD is modeled by a cap of spherical symmetry of radius a , and Dirichlet's boundary condition is assumed. Explicit expressions for the wave functions and energy levels when a magnetic field is applied perpendicular to the dot base are derived. Analytical expressions up to the fourth order in the magnetic field ( B 4 ) for the energy levels and to the second order ( B 2 ) for the wave functions are derived. The magnetic fan plot as a function of a solely universal parameter α = ( a / l B ) 2 , where l B is the Landau length, is given.