Statistical Properties of Electrical Resistance in a Both-Infinite Fibonacci Lattice

Abstract

An ensemble consisting of equal-sized samples which are cut from a both-infinite Fibonacci lattice is studied. Using the ensemble and the Landauer formula, the sample-averaged resistance and the variance are calculated numerically as a function of sample size at the band center of a tight-binding off-diagonal Fibonacci model. The characteristic power exponents, which are found in the sample-size dependence of the sample-averaged quantities, are derived analytically.