One-Dimensional Extended States in Partially Disordered Planar Systems

Details One-Dimensional Extended States in Partially Disordered Planar Systems One-Dimensional Extended States in Partially Disordered Planar Systems

1998-06-17

arxiv.org/abs/cond-mat/9806206v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, revtex file, 3 postscript files

Scientific paper

10.1016/S0375-9601(99)00089-4

We obtain analytically a continuum of one-dimensional ballistic extended states in a two-dimensional disordered system, which consists of compactly coupled random and pure square lattices. The extended states give a marginal metallic phase with finite conductivity $\sigma_{0}=2e^2/h$ in a wide energy range, whose boundaries define the mobility edges of a first-order metal-insulator transition. We show current-voltage duality, $H_{\parallel}/T$ scaling of the conductivity in parallel magnetic field $H_{\parallel}$ and non-Fermi liquid properties when long-range electron-electron interactions are included.

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