Simple correlated wave-functions for excitons in 0D, quasi-1D and\n quasi-2D quantum dots

2017/05/09 by Josep Planelles, Planelles, Josep
Physics and Astronomy · #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #Surface and Thin Film Phenomena

paper · pdf · doi:10.48550/arxiv.1705.03232

Abstract

We propose correlated yet extremely simple single-parameter-dependent\nwave-functions with a Slater-type correlation factor, to describe excitons in\n0D, quasi-1D and quasi-2D semiconductor quantum dots. We provide closed-form\nformulas for the wave-function normalization factor, electron/hole\nsingle-particle density and the expectation value of the kinetic energy. We\nadditionally supply fast integration procedures for the Coulomb interaction in\nthe presence of dielectric mismatch with the surrounding medium for\nnanoplatelets (quasi-2D systems), and for the bare-Coulomb integral in long\nnanorods (quasi-1D systems).\n

Related

• Coulomb interaction in a quantum dot
• Coulomb correlations evidenced in the magneto-optical spectra of charged excitons in semiconductor quantum dots
• Imaging quasiparticle wave functions in quantum dots via tunneling spectroscopy
• Exciton Coulomb correlations in axially symmetric II-VI nanocrystals
• Correlations of Wave Functions in Disordered Systems