Characteristics of the conductance of quantum waveguide containing an array of stubs: Numerical simulation

摘要

We present the numerical investigations on the conductance of the quantum waveguide containing an array of stubs with the use of the transfer matrix approach. The profiles of the conductance as functions of the stub length and of the Fermi wave number of electrons depend on the number of the stubs as also on the geometric configuration of the stubs. The conductance performance of this system for disordered stub lengths and disordered stub intervals is examined in detail. It is found that the localization length substantially depends on the type of disorder, the extent of disorder and the Fermi wave number of electrons. The influence of the stub interval disorder is less serious than that of the stub length disorder. For the same extent of disorder, the localization length associated with the stub length disorder is much shorter than that associated with the stub interval disorder. Root-mean-square value of the conductance fluctuations depends on the extent of disorder. We also present the statistical distribution of conductance fluctuations in this disorder network structure. It is found that the statistical distribution can be normal or log-normal, depending on the extent of disorder. Finally, we find that the additivity of the inverse of the localization lengths corresponding to the individual disorders and their combined disorder seems to be valid with good accuracy in the weak disorder regime. (author). 24 refs, 9 figs, 1 tab. (Atomindex citation 26:039733)