1. Spin parallel transport and holonomy on a spherical two-dimensional electron gas
- Author
-
Rodríguez, E. J., Reynoso, A. A., Baltanás, J. P., Bercioux, D., and Frustaglia, D.
- Subjects
Condensed Matter - Mesoscale and Nanoscale Physics - Abstract
The quantum conductance of flat (Euclidean) circuits subject to Rashba spin-orbit coupling shows a symmetric response to the inversion of the spin-orbit field in Aharonov-Casher interference patterns. Here, we show that this symmetry breaks down in curved (non-Euclidean) circuits defined on a spherical two-dimensional electron gas. We demonstrate that this is a consequence of parallel spin transport and holonomy on the surface of the sphere, and that a symmetric response can be recovered when considering the parallel transport condition as an offset. We discuss triangular circuits defined along geodesic arcs on the sphere as a case study, and generalize it to regular polygons and parallel curves of given latitude., Comment: 18 pages, 10 figures
- Published
- 2024