One-Dimensional Extended States in Partially Disordered Planar Systems
Shi-Jie Xiong, S. N. Evangelou, E. N. Economou
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 σ0=2e2/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/T scaling of the conductivity in parallel magnetic field H and non-Fermi liquid properties when long-range electron-electron interactions are included.
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