Abstract

We have carried out a comparative study of the relativistic and non-relativistic Landauer resistance (LR) of a Fibonacci lattice. The Fibonacci lattice treated by us consists of rectangular potential barriers, with their centres distributed according to the Fibonacci sequence. The purpose behind our study is to examine how the relativistic effect on LR of the Fibonacci lattice depends on energy and various parameters associated with the Fibonacci lattice. Among other things, we find that the relativistic impact increases with increase in the number of barriers in the Fibonacci lattice and reduction in the width of barriers.

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