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arXiv · 2502.09360

Formal Integration of Electron Scattering Processes via Separation of Dynamical and Geometric Contributions

Lorenzo Bagnasacco·Fabio Taddei·Vittorio Giovannetti
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Abstract

By decoupling the geometric from the dynamical contributions in the scattering processes, we develop a method to compute the scattering matrix of electrons in a one-dimensional coherent conductor connected to two electrodes. In particular, we demonstrate that, in the high-energy regime, the transmission matrix converges to the Berry operator of the system. We showcase the method through several examples featuring different in-plane magnetic field profiles. Notably, our results reveal the possibility of achieving near-perfect spin-flip transmission, highlighting potential applications in spintronics.

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Lorenzo Bagnasacco, Fabio Taddei, Vittorio Giovannetti. 2025-02-13. Formal Integration of Electron Scattering Processes via Separation of Dynamical and Geometric Contributions. https://doi.org/10.1088/1751-8121/ae2995

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