Delocalization in Tight-Binding Hamiltonians: A Modified Coupled-Cluster Based Investigation

TL;DR

This paper investigates the extent of delocalization in one-dimensional tight-binding systems using a modified coupled-cluster method, revealing limited delocalization effects in specific filling scenarios.

Contribution

It introduces a local energy evaluation approach with a modified coupled-cluster method to analyze delocalization in 1D tight-binding models, highlighting the limited range of delocalization.

Findings

Delocalization effects are limited in 1D tight-binding systems.

The method applies to 1/2 and 1/4 filled systems.

Delocalization range is constrained in these models.

Abstract

The nature of delocalization in a 1D system ruled by a tight-binding Hamiltonian is investigated. Using a local evaluation of the ground state energy, it is shown that the range of the delocalization effects is rather limited. The method is applied to 1/2 and 1/4 filled systems.