Reentrant topological transitions in a quantum wire/superconductor system with quasiperiodic lattice modulation

Abstract

We study the condition for a topological superconductor (TS) phase with end Majorana fermions to appear when a quasiperiodic lattice modulation is applied to a one-dimensional quantum wire with strong spin-orbit interaction situated under a magnetic field and in proximity to a superconductor. By density-matrix renormalization group analysis, we find that multiple topological phases with Majorana end modes are realized in finite ranges of the filling factor, showing a sequence of reentrant transitions as the chemical potential is tuned. The locations of these phases reflect the structure of bands in the non-interacting case, which exhibits a distinct self-similar structure. The stability of the TS in the presence of an on-site interaction or a harmonic trap potential is also discussed.

5 pages, 4 figures, v4: minor corrections; published in Phys. Rev. B Rapid Communication

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• Topological Anderson insulators with different bulk states in quasiperiodic chains
• Spectral statistics, finite-size scaling and multifractal analysis of quasiperiodic chain with p-wave pairing
• The quasi-periodic quantum Ising transition in 1D
• Topological Mott insulators of ultracold atomic mixtures induced by interactions in one-dimensional optical superlattices
• Majorana Quasi-Particles Protected by ${\mathbb{Z}}_2$ Angular Momentum Conservation
• Majorana bound state engineering via efficient real-space parameter optimization
• Reentrant topological transitions with Majorana end states in 1D superconductors by lattice modulation
• Coexistence of Strong and Weak Majorana Zero Modes in Anisotropic XY Spin Chain with Second-Neighbor Interaction
• Quasidisorder Induced Topology
• Detecting topological phases via survival probabilities of edge Majorana fermions
• Topologically protected mid-gap states induced by impurity in one-dimensional superlattices
• Driving Topological Phases by Spatially Inhomogeneous Pairing Centers
• Transport across a system with three p-wave superconducting wires: effects of Majorana modes and interactions
• Effect of incommensurate disorder on the resonant tunneling through Majorana bound states on the topological superconductor chains
• Critical region of topological trivial and nontrivial phases in interacting Kitaev chain with spatially varying potentials
• Complex-band-structure eigenvalue method adapted to Floquet systems: topological superconducting wires as a case study
• Many-body Majorana-like zero modes without gauge symmetry breaking
• Moiré-enabled topological superconductivity
• Density matrix renormalization group study of the interacting Kitaev chain with quasi-periodic disorder
• Topological Anderson insulator and reentrant topological transitions in a mosaic trimer lattice