Reentrant topological transitions in a one-dimensional quantum wire coupled to superconductor with quasiperiodic lattice modulation
Year: 2012
Type: preprint
Abstract: We study the condition for a topological superconductor (TS) phase with edge 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 edge modes are realized in finite ranges of the filling factor, showing a sequence of reentrant transitions. An on-site interaction stabilizes the topological phases, as observed for systems without lattice modulation in [E. M. Stoudenmire, J. Alicea, O. A. Starykh, and M. P. A. Fisher, Phys. Rev. B 84, 014503 (2011)]. The stability of the TS in the presence of a harmonic trap potential is also discussed.
Source: arXiv (Cornell University)
Authors: Masaki Tezuka, Norio Kawakami
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2292712697