Emerging holonomy in electron spin scattering
- URL: http://arxiv.org/abs/2502.09360v1
- Date: Thu, 13 Feb 2025 14:26:56 GMT
- Title: Emerging holonomy in electron spin scattering
- Authors: Lorenzo Bagnasacco, Fabio Taddei, Vittorio Giovannetti,
- Abstract summary: We develop a method for calculating the scattering matrix of electrons in a one-dimensional coherent conductor connected to two electrodes.
In particular, we show that in the high-energy limit, the transmission matrix aligns with the holonomy, reducing to a pure topological form.
Our results indicate the possibility of achieving near-perfect spin-flip transmission, with implications for use in spintronic applications.
- Score: 0.5461938536945721
- License:
- Abstract: By evidencing the holonomic and dynamical contributions in scattering problems, we develop a method for calculating the scattering matrix of electrons in a one-dimensional coherent conductor connected to two electrodes. To validate our approach, we investigate the spin-resolved scattering of electrons along a wire subjected to a spatially varying magnetic (Zeeman) field. In particular, we show that in the high-energy limit, the transmission matrix aligns with the holonomy, reducing to a pure topological form. We illustrate the method by examining several scenarios with varied in-plane magnetic field profiles. For instance, our results indicate the possibility of achieving near-perfect spin-flip transmission, with implications for use in spintronic applications.
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