Reentrant topological transitions with Majorana end states in 1D superconductors by lattice modulation

Abstract

The possibility to observe and manipulate Majorana fermions as end states of one-dimensional topological superconductors has been actively discussed recently. In a quantum wire with strong spin-orbit coupling placed in proximity to a bulk superconductor, a topological superconductor has been expected to be realized when the band energy is split by the application of a magnetic field. When a periodic lattice modulation is applied multiple topological superconductor phases appear in the phase diagram. Some of them occur for higher filling factors compared to the case without the modulation. We study the effects of phase jumps and argue that the topologically nontrivial state of the whole system is retained even if they are present. We also study the effect of the spatial modulation in the hopping parameter.

10 pages, 9 figures, submitted to Phys. Rev. B

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• Physical properties of weak-coupling quasiperiodic superconductors
• Effect of Electron-Electron Interactions on Metallic State in Quasicrystals
• Supercurrent Distribution in Real-Space and Anomalous Paramagnetic Response in a Superconducting Quasicrystal
• Reentrant Topological Phase Transition in a Bridging Model between Kitaev and Haldane Chains
• Unconventional superfluidity of superconductivity on Penrose lattice
• Topological quantum phase transitions in a Majorana chain with spatial modulation
• Topological Anderson insulator and reentrant topological transitions in a mosaic trimer lattice