Delocalised states in a 1D random system with Anderson's diagonal disorder

TL;DR

This paper demonstrates that in a one-dimensional disordered system with long-range interactions, some states can be delocalized, challenging the common belief that all such states are localized, supported by theoretical proof and simulations.

Contribution

It establishes a theorem showing the existence of extended states in 1D Anderson models with long-range interactions, supported by computer simulations.

Findings

Some states are delocalized in 1D disordered systems with long-range interactions

Theoretical proof of extended states in Anderson's diagonal disorder model

Computer simulations confirm the existence of delocalized states

Abstract

1D diagonally disordered chain with Frenkel exciton and long range exponential intersite interaction is considered. It is shown that some states of this disordered system are delocalised (extended) contrary to the popular statement that all states in 1D disordered system are localised. The theorem is established that for the Anderson's model of diagonal disorder one should expect the appearance of states with extended module. All statements are confirmed by computer simulations.