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

TL;DR

This paper introduces a method to separate geometric and dynamical effects in electron scattering, enabling precise calculations of the scattering matrix and revealing potential for near-perfect spin-flip transmission in spintronics.

Contribution

The paper presents a novel approach to decouple geometric and dynamical contributions in electron scattering, linking high-energy transmission to the Berry operator, with practical examples.

Findings

Transmission matrix converges to Berry operator at high energy

Potential for near-perfect spin-flip transmission

Method applicable to various magnetic field profiles

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.