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- W2012306215 abstract "We present a theoretical study of the crossover from the two-dimensional (2D, separate confinement of the carriers) to the three-dimensional (3D, center-of-mass confinement) behavior of excitons in shallow or narrow quantum wells (QW's). Exciton binding energies and oscillator strengths are calculated by diagonalizing the Hamiltonian on a large nonorthogonal basis set. We prove that the oscillator strength per unit area has a minimum at the crossover, in analogy with the similar phenomenon occurring for the QW to thin-film crossover on increasing the well thickness, and in agreement with the analytic results of a simplified $ensuremath{delta}$-potential model. Numerical results are obtained for GaAs/Al${}_{x}{mathrm{}mathrm{Ga}}_{1ensuremath{-}x}mathrm{As}$ and In${}_{x}{mathrm{Ga}}_{1ensuremath{-}x}mathrm{A}mathrm{s}/mathrm{G}mathrm{a}mathrm{A}mathrm{s}$ systems. Our approach can also be applied to obtain an accurate description of excitons in QW's with arbitrary values of the offsets (positive or negative) and also for very narrow wells. In particular, the crossover from 2D to 3D behavior in narrow GaAs/Al${}_{x}$Ga${}_{1ensuremath{-}x}$As QW's is investigated: the maximum binding energy of the direct exciton in GaAs/AlAs QW's is found to be $ensuremath{sim}26$ meV and to occur between one and two monolayers." @default.
- W2012306215 created "2016-06-24" @default.
- W2012306215 creator A5026074815 @default.
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- W2012306215 date "1997-08-15" @default.
- W2012306215 modified "2023-09-28" @default.
- W2012306215 title "Crossover from strong to weak confinement for excitons in shallow or narrow quantum wells" @default.
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- W2012306215 doi "https://doi.org/10.1103/physrevb.56.3922" @default.
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