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.
Cite
@article{arxiv.1202.5969,
title = {Reentrant topological transitions in a quantum wire/superconductor system with quasiperiodic lattice modulation},
author = {Masaki Tezuka and Norio Kawakami},
journal= {arXiv preprint arXiv:1202.5969},
year = {2012}
}
Comments
5 pages, 4 figures, v4: minor corrections; published in Phys. Rev. B Rapid Communication