Continuum of extended states in the spectrum of a one-dimensional random potential

TL;DR

This paper presents a one-dimensional disordered system with a continuum of extended states across the entire positive spectrum, independent of disorder type or system length, demonstrating perfect transmission.

Contribution

It introduces a novel 1D disordered model based on the Poschl-Teller potential with a unique continuum of extended states unaffected by disorder correlations or system size.

Findings

System exhibits a continuum of extended states

Perfect transmission occurs across the positive spectrum

Delocalization is independent of disorder character

Abstract

We describe a one-dimensional disordered system, based on the Poschl-Teller potential, that exhibits a continuum of extended states which is independent of the random or correlated character of the sequence and of the length of the system. The delocalization of the electronic states occurs in the whole positive spectrum where the system shows a perfect transmission.