Journal
THEORETICAL CHEMISTRY ACCOUNTS
Volume 136, Issue 7, Pages -Publisher
SPRINGER
DOI: 10.1007/s00214-017-2107-x
Keywords
Semiconductor quantum dot; Correlated exciton; Slater-type correlation factor; Electron/hole density
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Funding
- MINECO project [CTQ2014-60178-P]
- UJI project [P1-1B2014-24]
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We propose correlated yet extremely simple single-parameter-dependent wave-function with a Slater-type correlation factor, to describe excitons in 0D, quasi-1D and quasi-2D semiconductor quantum dots. We provide closed-form formulas for the wave-function normalization factor, electron/hole single-particle density and the expectation value of the kinetic energy. We additionally supply fast integration procedures for the Coulomb interaction in the presence of dielectric mismatch with the surrounding medium for nanoplatelets (quasi-2D systems), and for the bare Coulomb integral in long nanorods (quasi-1D systems).
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