Quantum mechanics of a spin-orbit coupled electron constrained to a space curve
Mesoscale and Nanoscale Physics
2018-09-27 v1
Abstract
We derive the effective one-dimensional Schrodinger-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 Schrodinger-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.
Keywords
Cite
@article{arxiv.1504.00840,
title = {Quantum mechanics of a spin-orbit coupled electron constrained to a space curve},
author = {Carmine Ortix},
journal= {arXiv preprint arXiv:1504.00840},
year = {2018}
}
Comments
5 pages, no figures