Physics – Condensed Matter – Superconductivity
Scientific paper
2012-02-27
Phys. Rev. B 85, 140508(R) (2012)
Physics
Condensed Matter
Superconductivity
5 pages, 4 figures, v4: minor corrections; published in Phys. Rev. B Rapid Communication
Scientific paper
10.1103/PhysRevB.85.140508
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.
Kawakami Norio
Tezuka Masaki
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