## Abstract

The localization characteristics of quantum-mechanical propagation of electrons through a disordered mesoscopic system are emulated in the simple geometry of a rectangular kink. The Landauer-Buttiker prescription and transfer-matrix method are combined in solving the corresponding Anderson-localization problem. The strong localization, which characterizes a one-dimensional system, the weak localization in a two-dimensional system, and universal conductance fluctuations are found to be compatible with the predictions of single-parameter scaling theory. Conductance fluctuations are also found in the emulation of conductance in the ballistic regime. These chaotic fluctuations are interpreted as a complex spectrum of resonating electron waves within a waveguide. The statistical distribution of fluctuations due to different realizations of the disorder in systems of identical macroscopic characteristics is also investigated. The significant deviations from a normal Gaussian distribution implied by the one-parameter scaling theory indicate the inadequacy of that theory and the need for higher-order corrections.

Original language | English |
---|---|

Pages (from-to) | 11496-11504 |

Number of pages | 9 |

Journal | Physical Review B |

Volume | 42 |

Issue number | 18 |

DOIs | |

State | Published - 1 Jan 1990 |