2005/04/29 by Augusto Gonzalez, Augusto González, Juan D. Serna +5 · 1 citation
Physics and Astronomy · #Condensed matter physics #Convergence (economics) #Degenerate energy levels #Electron #Energy (signal processing) #Energy spectrum #Landau quantization #Perturbation theory (quantum mechanics) #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum dot #Quantum electrodynamics #Quantum mechanics #Semiconductor Quantum Structures and Devices #Spin (aerodynamics) #cond-mat.mes-hall
paper · pdf · doi:10.1016/j.physe.2005.08.009
published in Physica E Low-dimensional Systems and Nanostructures 30(1-2), 134-137 (Elsevier BV) · 4 pages, 4 figures
arxiv created 2005/04/29 · openalex publication_date 2005/10/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Properly regularized second-order degenerate perturbation theory is applied to compute the contribution of higher Landau levels to the low-energy spectrum of interacting electrons in a disk-shaped quantum dot. At ``filling factor'' near 1/2, this contribution proves to be larger than energy differences between states with different spin polarizations. After checking convergence of the method in small systems, we show results for a 12-electron quantum dot, a system which is hardly tractable by means of exact diagonalization techniques.