Topological Force and Torque in Spin-Orbit Coupling System

TL;DR

This paper explores the topological force and torque in spin-orbit coupling systems, revealing their origin as relativistic quantum effects related to Zitterbewegung and discussing potential phenomena arising from nonlinear behaviors.

Contribution

It introduces the concept of topological force and torque in spin-orbit systems as relativistic quantum effects and analyzes their origins and possible nonlinear phenomena.

Findings

Topological force and torque are pure relativistic quantum effects.

Their origin is linked to the Zitterbewegung effect.

Potential phenomena driven by nonlinear spin-orbit coupling are discussed.

Abstract

The topological force and torque are investigated in the systems with spin-orbit coupling. Our results show that the topological force and torque appears as a pure relativistic quantum effect in an electromagnetic field. The origin of both topological force and torque is the Zitterbewegung effect. Considering nonlinear behaviors of spin-orbit coupling, we address possible phenomena driven by the topological forces.