2012/02/29 by Masaki Tezuka, Norio Kawakami · 1 citation
Physics and Astronomy · #cond-mat.supr-con #cond-mat.mes-hall #cond-mat.quant-gas
paper · pdf · doi:10.1103/physrevb.85.140508
published as Phys. Rev. B 85, 140508(R) (2012) · 5 pages, 4 figures, v4: minor corrections; published in Phys. Rev. B Rapid Communication
arxiv created 2012/04/24 · arxiv updated 2012/04/25
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.