# Spin-polarized transport in helical membranes due to spin-orbit coupling

## TL;DR

This paper investigates how spin-orbit coupling influences spin-polarized electron transport in helical membranes, revealing the effects of geometry and chirality on spin precession and polarization.

## Contribution

It provides a combined numerical and analytical study of spin transport in helical membranes, highlighting the role of geometry, chirality, and coupling strength on spin polarization.

## Key findings

- Spin precession depends on geometric parameters and membrane chirality.
- Strong coupling regime shows significant spin polarization with multiple open modes.
- Chirality determines the direction of current spin polarization, enabling opposite spin currents.

## Abstract

The spin-dependent electron transmission through a helical membrane with account of linear spin-orbit interaction has been investigated by numerically solving the Schr\"odinger equation in cylindrical coordinates . It is shown that the spin precession is affected by the magnitude of geometric parameters and chirality of the membrane. This effect is also explained analytically by using the perturbation theory in the weak coupling regime. In the strong coupling regime, the current spin polarization is evident when the number of the open modes in leads is larger than that of the open channels in the membrane. Moreover, we find that the chirality of the helical membrane can determine the orientation of current spin polarization. Therefore, one may get totally opposite spin currents from the helical membranes rolled against different directions.