Topological quasi-one-dimensional state of interacting spinless electrons

TL;DR

This paper investigates a topological quasi-one-dimensional state in interacting spinless electrons, revealing its properties, edge modes, and correlation behaviors through theoretical and numerical methods.

Contribution

It introduces a new topological phase in interacting spinless electrons with a second sub-band, combining effective field theory and DMRG simulations.

Findings

Identification of a topological quasi-one-dimensional state

Presence of zero-energy edge modes

Distinct correlation behaviors at interfaces

Abstract

By decreasing the transversal confinement potential in interacting one-dimensional spinless electrons and populating the second energetically lowest sub-band, for not too strong interactions system transitions into a quasi-one-dimensional state with dominant superconducting correlations and one gapless mode. By combining effective field theory approach and numerical density matrix renormalization group simulations we show that this quasi-one-dimensional state is a topological state that hosts zero-energy edge modes. We also study the single-particle correlations across the interface between this quasi-one-dimensional and single-channel states.