2001/03/16 by Vishal Mehra, Jayme De Luca
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevb.64.085306
13 pages, 5 figures
arxiv created 2001/03/16 · openalex publication_date 2001/08/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate the motion of a classical Wigner lattice in a two-dimensional confined electron gas in the presence of a perpendicular magnetic field, a (weak) driving electric field, and weak damping. In order to study the system at its lowest-energy states, initial configurations are produced by a special quenching procedure. We observe the formation of a steady state in which the entire electron-lattice cycles with a common uniform velocity. Certain runs show an intermediate instability leading to lattice rearrangements. A Hall resistance can be defined for this system and we find that it depends linearly on the magnetic field with an anomalous coefficient reflecting the many-body contributions peculiar to two dimensions.