Monopole and Topological Electron Dynamics in Adiabatic Spintronic and Graphene Systems

TL;DR

This paper presents a unified theoretical framework for electron dynamics in spintronic and graphene systems, highlighting the role of monopoles and topological magnetic fields in understanding spin-related phenomena.

Contribution

It introduces a novel approach linking monopoles in magnetic space to topological magnetic fields in momentum and real spaces for electron dynamics analysis.

Findings

Monopoles in magnetic space arise from adiabatic spin evolution.

Topological magnetic fields can be mapped in momentum and real spaces.

The framework explains spin Hall, torque, and oscillation effects.

Abstract

A unified theoretical treatment is presented to describe the physics of electron dynamics in semiconductor and graphene systems. Electron spin fast alignment with the Zeeman magnetic field (physical or effective) is treated as a form of adiabatic spin evolution which necessarily generates a monopole in magnetic space. One could transform this monopole into the physical and intuitive topological magnetic fields in the useful momentum (K) or real spaces (R). The physics of electron dynamics related to spin Hall, torque, oscillations and other technologically useful spinor effects can be inferred from the topological magnetic fields in spintronic, graphene and other SU(2) systems.