Localization of Electronic States in Hybrid Nano-Ribbons in the Non-Perturbative Regime

TL;DR

This study explores how electronic states localize in hybrid nanoribbons under strong interactions and finite volume, using quantum Monte Carlo and analytical methods to demonstrate persistent localization in non-perturbative regimes.

Contribution

It provides a detailed analysis of localization phenomena in hybrid nanoribbons considering strong correlations and superconducting pairing, extending understanding beyond perturbative approaches.

Findings

Localization persists under strong interactions and finite volume.

Quantum Monte Carlo simulations confirm localization in the Hubbard model.

Analytical solutions show localization in the symmetric pairing limit.

Abstract

We investigate the localization of low-energy single quasi-particle states in the 7/9-hybrid nanoribbon system in the presence of strong interactions and within a finite volume. We consider two scenarios, the first being the Hubbard model at half-filling and perform quantum Monte Carlo simulations for a range $U$ that includes the strongly correlated regime. In the second case we add a nearest-neighbor superconducting pairing $\Delta$ and take the symmetric line limit, where $\Delta$ is equal in magnitude to the hopping parameter $t$. In this limit the quasi-particle spectrum and wavefunctions can be directly solved for general onsite interaction $U$. In both cases we extract the site-dependent quasi-particle wavefunction densities and demonstrate that localization persists in these non-perturbative regimes under particular scenarios.