Synchronization, zero-resistance states and rotating Wigner crystal
École Normale Supérieure, 45, rue d'Ulm, 75231 Paris Cedex 05, France
2 Department of Physics, University of Potsdam, Am Neuen Palais 10, D-14469, Potsdam, Germany
3 Laboratoire de Physique Théorique, UMR 5152 du CNRS, Université Toulouse III, 31062 Toulouse, France
Published online: 8 December 2007
We show, in a framework of a classical nonequilibrium model, that rotational angles of electrons moving in two dimensions (2D) in a perpendicular magnetic field can be synchronized by an external microwave field whose frequency is close to the Larmor frequency. The synchronization eliminates collisions between electrons and thus creates a regime with zero diffusion corresponding to the zero-resistance states observed in experiments with high mobility 2D electron gas (2DEG). For long range Coulomb interactions electrons form a rotating hexagonal Wigner crystal. Possible relevance of this effect of synchronization-induced self-assembly for planetary rings is discussed.
PACS: 73.40.-c – Electronic transport in interface structures / 05.45.Xt – Synchronization; coupled oscillators / 05.20.-y – Classical statistical mechanics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2007