Theory of geometry induced quantum transport

Research paper by Vincent Sweeney, Clare R. Burbridge, Mark Leadbeater, Colin J. Lambert

Indexed on: 01 May '96Published on: 01 May '96Published in: Czechoslovak Journal of Physics


We present theoretical results for the geometry-dependence of the electrical conductance of a phase-coherent two-dimensional electron gas (2DEG). As an example, we examine a staircase-shaped 2DEG formed from a periodic array of rectangular cells joined near their corners and compare the differential conductanceG(E) at voltageV, with the density of statesN(E) at energyE=eV. By evaluating the multi-channel Landauer formula, we demonstrate that near the band tails, geometry-induced structure persists, even in the presence of disorder.