2008/09/22 by N. S. Simonović, N. S. Simonovic, R. G. Nazmitdinov · 1 citation
Engineering · Physics and Astronomy · #Advanced Chemical Physics Studies #Molecular Junctions and Nanostructures #Quantum and electron transport phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physreva.78.032115
published as Phys.Rev.A78 (2008) 032115 · 10 pages, 6 figures
openalex publication_date 2008/09/22 · arxiv created 2008/09/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that a difference in time scales of vertical and lateral dynamics permits one to analyze the problem of interacting electrons confined in an axially symmetric three-dimensional potential with a lateral oscillator confinement by means of the effective two-dimensional Hamiltonian with a screened Coulomb interaction. Using an adiabatic approximation based on action-angle variables, we present solutions for the effective charge of the Coulomb interaction (screening) for a vertical confinement potential simulated by parabolic, square, and triangular wells. While for the parabolic potential the solution for the effective charge is given in a closed analytical form, for the other cases similar solutions can be easily calculated numerically.