2015/04/03 by Carmine Ortix · 83 citations
Engineering · Physics and Astronomy · #Aerospace engineering #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Engineering #Molecular Junctions and Nanostructures #Orbit (dynamics) #Physics #Quantum and electron transport phenomena #Quantum mechanics #Space (punctuation) #Spin (aerodynamics) #Spin–orbit interaction #Thermodynamics #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.91.245412
published in Physical Review B 91(24) (American Physical Society) · 5 pages, no figures
arxiv created 2015/04/03 · openalex publication_date 2015/06/11 · arxiv updated 2018/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We derive the effective one-dimensional Schr"odinger-Pauli equation for electrons constrained to move on a space curve. The electrons are confined using a double thin-wall quantization procedure with adiabatic separation of fast and slow quantum degrees of freedom. This procedure is capable of yielding a correct Hermitian one-dimensional Schr"odinger-Pauli operator. We find that the torsion of the space curve generates an additional quantum geometric potential, adding to the well-known curvature-induced one. Finally, we derive an analytic form of the one-dimensional Hamiltonian for spin-orbit coupled electrons in a nanoscale helical wire.