Spin-texture topology in curved circuits driven by spin-orbit interactions

Interferometry is a powerful technique used to extract valuable information about the wave function of a system. In this work, we study the response of spin carriers to the effective field textures developed in curved one-dimensional interferometric circuits subject to the joint action of Rashba and Dresselhaus spin-orbit interactions. By using a quantum network technique, we establish that the interplay between these two non-Abelian fields and the circuit's geometry modify the geometrical characteristics of the spinors, particularly on square circuits, leading to the localisation of the electronic wave function and the suppression of the quantum conductance. We propose a topological interpretation by classifying the corresponding spin textures in terms of winding numbers.

Automated summary

This work investigates the response of spin carriers to effective field textures in curved one-dimensional interferometric circuits, finding that the interplay between Rashba and Dresselhaus spin-orbit interactions and circuit geometry modifies the geometric characteristics of spinors, resulting in the localization of electronic wave function and suppression of quantum conductance.