On the role of a new type of correlated disorder in extended electronic states in the Thue-Morse lattice

TL;DR

This paper identifies a new correlated disorder responsible for extended electronic states in the Thue-Morse lattice, providing theoretical understanding where previously only numerical evidence existed.

Contribution

It introduces a novel type of correlated disorder explaining extended states in the Thue-Morse lattice, clarifying conditions for their existence.

Findings

Extended states are caused by a new correlated disorder.

The work explains the conditions supporting extended states.

Provides theoretical insight into aperiodic systems.

Abstract

A new type of correlated disorder is shown to be responsible for the appearance of extended electronic states in one-dimensional aperiodic systems like the Thue-Morse lattice. Our analysis leads to an understanding of the underlying reason for the extended states in this system, for which only numerical evidence is available in the literature so far. The present work also sheds light on the restrictive conditions under which the extended states are supported by this lattice.