2005/09/30 by Ramin Abolfath, Ramin M. Abolfath, Wojciech Dybalski +3
Computer Science · Materials Science · Physics and Astronomy · #Diamond and Carbon-based Materials Research #Electron #Materials science #Molecule #Nanotechnology #Optoelectronics #Physics #Quantum #Quantum Hall effect #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum mechanics #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.73.075314
published as Phys. Rev. B 73, 075314 (2006) · 5 pages, 10 figures
openalex publication_date 2006/02/10 · arxiv created 2006/03/29 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a theory of laterally coupled quantum Hall droplets with electron numbers (N1,N2) at filling factor \ensuremathν=2. We show that the edge states of each droplet are tunnel-coupled and form a two-level artificial molecule. By populating the edge states with one electron each a two-electron molecule is formed. We predict the singlet-triplet transitions of the effective two-electron molecule as a function of the magnetic field, the number of electrons, and the confining potential using the configuration interaction method coupled with the unrestricted Hartree-Fock basis. In addition to the singlet-triplet transitions of a two-electron molecule involving edge states, triplet transitions involving transfer of electrons to the center of individual dots exist for (N1\ensuremath\geqslant5, N2\ensuremath\geqslant5).