Dispersive hopping conduction in quasi-one-dimensional systems

Abstract

The hopping-conduction problem is solved exactly for regular ladders with quinary jump rates. The ac conductivity is shown to have a dispersive nature even when the ladder consists of certain regular arrangements of quinary jump rates. Hopping conduction in a zigzag chain with binary jump rates is also studied rigorously. In particular, a field-induced dispersive transport is predicted.