2000/02/29 by M. Taut · 21 citations
Physics and Astronomy · #Bound state #Condensed matter physics #Coulomb #Electron #Excitation #Magnetic field #Photonic Crystals and Applications #Physics #Quantum and electron transport phenomena #Quantum dot #Quantum mechanics #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.62.8126
published in Physical review. B, Condensed matter 62(12), 8126-8136 (American Physical Society) · 11 figures included as ps-files
arxiv created 2000/07/12 · openalex publication_date 2000/09/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Schr"odinger equation for quantum-dot lattices with noncubic, non-Bravais lattices built up from elliptical dots is investigated. The Coulomb interaction between the dots is considered in dipole approximation. Then only the center of mass (c.m.) coordinates of different dots couple with each other. This c.m. subsystem can be solved exactly and provides magnetophononlike collective excitations. The interdot interaction is involved only through a single interaction parameter. The relative coordinates of individual dots form decoupled subsystems giving rise to intradot excitation modes. As an example, the latter are calculated exactly for two-electron dots. Emphasis is layed on qualitative effects, like: (i) Influence of the magnetic field on the lattice instability due to interdot interaction; (ii) closing of the gap between the lower and the upper c.m. mode at B=0 for elliptical dots due to dot interaction; and (iii) Kinks in the intradot excitation energies (versus magnetic field) due to change of ground-state angular momentum. It is shown that for obtaining striking qualitative effects one should go beyond simple cubic lattices with circular dots. In particular, for observing effects of electron-electron interaction between the dots in far-infrared spectra (breaking Kohn's Theorem) one has to consider dot lattices with at least two dot species with different confinement tensors.