One-Dimensional Extended States in Partially Disordered Planar Systems

Abstract

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.

4 pages, revtex file, 3 postscript files

References in corpus (2)

• Scaling theory of two-dimensional metal-insulator transitions
• Only Fermi-Liquids are Metals