Formal Integration of Electron Scattering Processes via Separation of Dynamical and Geometric Contributions
arXiv:2502.09360 · doi:10.1088/1751-8121/ae2995
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.
Minor revision, 23 pages, 5 figures. J. Phys. A: Math. Theor (2025)
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