1998/05/04 by Lin-Wang Wang, Lin‐Wang Wang, Wang, Lin-Wang
Engineering · Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #cond-mat.mtrl-sci
paper · pdf · doi:10.48550/arxiv.cond-mat/9805031
21 pages, 1 figure
openalex publication_date 1998/05/04 · arxiv created 1998/09/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
One approximation is made to describe a M+1 electron many-body wavefunction by a M electron many-body wavefunction and a single electron wavefunction. Under this approximation, we have derived the Coulomb energy which relates the exciton energy Eexc in a quantum dot with the quasiparticle band gap (defined as the difference between the ionization energy and the electron affinity), and the Coulomb energy which relates Eexc with the single particle eigen values. We found that these two Coulomb energies are different. We have compared our results with the formulae used in different groups, which are proposed either \it ad hov, or from the classical electrostatic point of view. We found important difference between our results and the classical formula. Finally, under the above approximation, we provided an effective single particle Hamiltonian, which gives the quasiparticle band structure in a bulk system.