Quantum transport in a two-dimensional modulated channel

Abstract

We present a theoretical study of quantum transport across a spatially modulated quantum channel. The quantum channel is modeled as a coupled two-dimensional electron waveguide. Transmission or conductance across the system is evaluated numerically by using the mode matching and scattering matrix cascading method. We present results for the case where electronic motion is restricted to the fundamental transverse mode. We have studied the band formation in a short channel and also show that a single defect in an otherwise periodic structure modifies the band properties non-trivially. By a proper choice of a single defect one can produce zeros in the conduction band as well as bound states in the continuum.