Localization Parameters for Two Interacting Particles in Disordered Two-Dimensional Finite Lattices

Localization Properties of Two Interacting Electrons in a Disordered Quasi One–Dimensional Potential

We study the transport properties of two electrons in a quasi one– dimensional disordered wire. The electrons are subject to both, a disorder potential and a short range two–body interaction. Using the approach developed by Iida et al. [ Ann. Phys. (N.Y.) 200 (1990) 219 ], the supersymmetry technique, and a suitable truncation of Hilbert space, we work out the two–point correlation function in ...

Localization of two interacting particles in a one-dimensional random potential

We investigate the localization of two interacting particles in a one-dimensional random potential. Our definition of the two-particle localization length, j, is the same as that of von Oppen et al. @Phys. Rev. Lett. 76, 491 ~1996!#. j’s for chains of finite lengths are calculated numerically using the recursive Green’s function method for several values of the strength of the disorder, W , and...

Collective Behaviors in Two-Dimensional Systems of Interacting Particles

Localization of electromagnetic waves in two-dimensional disordered systems.

We calculate the average transmission for sand p-polarized electromagnetic ~EM! waves and consequently the localization length of two-dimensional ~2D! disordered systems which are periodic on the average; the periodic systems form a square lattice consisting of infinitely long cylinders parallel to each other and embedded in a different dielectric medium. In particular, we study the dependence ...

Localization of matter waves in two-dimensional disordered optical potentials.

We consider ultracold atoms in 2D disordered optical potentials and calculate microscopic quantities characterizing matter wave quantum transport in the noninteracting regime. We derive the diffusion constant as a function of all relevant microscopic parameters and show that coherent multiple scattering induces significant weak localization effects. In particular, we find that even the strong l...