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

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.

27 pages, 17 figures

References in corpus (7)

• Bulk-boundary correspondence from the inter-cellular Zak phase
• Monte-Carlo simulation of the tight-binding model of graphene with partially screened Coulomb interactions
• The Semimetal-Mott Insulator Quantum Phase Transition of the Hubbard Model on the Honeycomb Lattice
• An exactly solvable BCS-Hubbard Model in arbitrary dimensions
• The Antiferromagnetic Character of the Quantum Phase Transition in the Hubbard Model on the Honeycomb Lattice
• Exact Solution to Haldane-BCS-Hubbard Model Along the Symmetric Lines: Interaction Induced Topological Phase Transition
• Topologically ordered zigzag nanoribbon: $e/2$ fractional edge charge, spin-charge separation, and ground state degeneracy

Cited by in corpus (3)

• Floating block method for quantum Monte Carlo simulations
• An Effective Theory for Graphene Nanoribbons with Junctions
• Defect engineering spin centers in interacting many-body Su-Schrieffer-Heeger chains