Topological quasi-one-dimensional state of interacting spinless electrons

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.

8 pages, 10 figures

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• Fate of the one-dimensional Ising quantum critical point coupled to a gapless boson
• Electron pairing induced by repulsive interactions in tunable one-dimensional platforms
• Magnetic field induced criticality in superconducting two-leg ladders