2020/11/12 by Flavio Ronetti, Daniel Loss, Jelena Klinovaja
Physics and Astronomy · #Condensed matter physics #Electron #Gapless playback #Magnetic field #Nanowire #Phase (matter) #Physics #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum mechanics #Scattering #Spin (aerodynamics) #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.103.235410
published as Phys. Rev. B 103, 235410 (2021) · 6 + 11 pages, 3 figures
arxiv created 2020/11/12 · openalex publication_date 2021/06/07 · arxiv updated 2021/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider a semiconducting nanowire with Rashba spin-orbit interaction subjected to a magnetic field and in the presence of strong electron-electron interactions. When the ratio between Fermi and Rashba momenta is tuned to 1/2, two competing resonant multiparticle scattering processes are present simultaneously and the interplay between them brings the system into a gapless critical parafermion phase. This critical phase is described by a self-dual sine-Gordon model, which we are able to map explicitly onto the low-energy sector of the ℤ4 parafermion clock chain model. Finally, we show that by alternating regions in which only one of these two processes is present one can generate localized zero-energy parafermion bound states.