1999/09/02 by Vishal Mehra, Jayme De Luca · 3 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.61.1199
5 figures
arxiv created 1999/09/02 · openalex publication_date 2000/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We simulate a finite system of N confined electrons with inclusion of the Darwin magnetic interaction in two and three dimensions. The lowest-energy states are located using the steepest descent quenching adapted for velocity dependent potentials. Below a critical density the ground state is a static Wigner lattice. For supercritical density the ground state has a nonzero kinetic energy. The critical density decreases with N for exponential confinement but not for harmonic confinement. The lowest-energy state also depends on the confinement and dimension: an antiferromagnetic cluster forms for harmonic confinement in two dimensions.