Büttiker-Landauer characteristic barrier-interaction times for one-dimensional random layered systems.

Abstract

This paper derives expressions for tunneling time through random one-dimensional barriers consisting of an arbitrary sequence of δ-function scattering potentials with an arbitrarily varying spacing, and an arbitrarily varying strength from potential to potential. The tunneling times are derived in the spirit of Baz's idea to utilize a Larmor precession clock. A physical connection is made between the y and z components of the Buttiker-Landauer tunneling times, the density of states, and the Landauer resistance, respectively. A simple extension of the usual time-independent treatment provides further insight into the significance of the two components