Duality of the spin and density dynamics for two-dimensional electrons with a spin-orbit coupling

TL;DR

This paper explores the duality between spin and density dynamics in two-dimensional electron systems with spin-orbit coupling, revealing simplified analysis methods and implications for spintronics applications.

Contribution

It uncovers a duality between spin evolution and electron-density dynamics in systems with spin-orbit coupling, enhancing understanding of spin-dependent processes.

Findings

Demonstrates duality in spin and density dynamics

Simplifies analysis of spin-dependent processes

Provides insights for spintronics applications

Abstract

We study spin dynamics in a two-dimensional electron gas with a pure gauge non-Abelian spin-orbit field, for which systems with balanced Rashba and Dresselhaus spin-orbit couplings, and the (110)-axis grown GaAs quantum wells are typical examples. We demonstrate the duality of the spin evolution and the electron-density dynamics in a system without spin-orbit coupling, which considerably simplifies and deepens the analysis of spin-dependent processes. This duality opens a venue for the understanding of this class of systems, highly interesting for their applications in spintronics, through known properties of the systems without spin-orbit coupling.