Dynamic localization of two-dimensional electrons at mesoscopic length scales

Two-Dimensional Electrons in a Strong Magnetic Field with Disorder: Divergence of the Localization Length

Electrons on a square lattice with half a flux quantum per plaquette are considered. An effective description for the current loops is given by a twodimensional Dirac theory with random mass. It is shown that the conductivity and the localization length can be calculated from a product of Dirac Green’s functions with the same frequency. This implies that the delocalization of electrons in a mag...

Elliptic Length Scales in Laminar, Two- Dimensional Supersonic Flows

Interacting One-Dimensional Electrons Driven by Two-Dimensional Reservoir Electrons

We derive an effective 1D theory from the Hamiltonian of the 3D system which consists of a mesoscopic conductor and reservoirs. We assume that the many-body interaction have the same magnitude in the conductor as that in the reservoirs, in contrast to the previous theories which made the ad hoc assumption that the many-body interaction were absent in the reservoirs. We show the following: (i) T...

0 Two electrons in a two dimensional random potential : exchange , interaction and localization

The problem of two electrons in a two-dimensional random potential is addressed numerically. Specifically, the role of the Coulomb interaction between electrons on localization is investigated by writing the Hamiltonian on a localized basis and diago-nalizing it exactly. The result of that procedure is discussed in terms of level statistics, the expectation value of the electron-electron separa...

Observation of two-dimensional dynamic localization of light.

We report on the first experimental observation of dynamic localization of light in two-dimensional photonic lattices. We demonstrate suppression of beam diffraction in hexagonal lattices created by weakly coupled waveguides with axis bending. We also reveal that this effect is strongly related to dynamic localization in zigzag waveguide arrays with next-nearest neighboring interactions.