LANDAUER AND THOULESS CONDUCTANCE - A BAND RANDOM-MATRIX APPROACH

We numerically analyze the transmission through a thin disordered wire of finite length attached to perfect leads, by making use of banded r andom Hamiltonian matrices. We compare the Landauer and the Thouless c onductances, and find that they are proportional to each other in the diffusive regime, while in the localized regime the Landauer conductan ce is approximately proportional to the square of the Thouless one. Fl uctuations of the Landauer conductance were also numerically computed; they are shown to slowly approach the theoretically predicted value.