Charge Hall effect driven by spin-dependent chemical potential gradients and Onsager relations in mesoscopic systems

TL;DR

This paper theoretically investigates the spin-Hall and reciprocal charge current effects in mesoscopic systems, demonstrating measurable charge currents driven by spin-dependent chemical potential gradients and confirming Onsager relations in coherent transport regimes.

Contribution

It introduces a theoretical framework for the reciprocal spin-Hall effect in mesoscopic systems and verifies Onsager relations for disorder-averaged conductances.

Findings

Measurable charge currents induced by spin-dependent chemical potential gradients.

Confirmation of Onsager relations in mesoscopic coherent transport.

Applicability to experimentally accessible system parameters.

Abstract

We study theoretically the spin-Hall effect as well as its reciprocal phenomenon (a transverse charge current driven by a spin-dependent chemical potential gradient) in electron and hole finite size mesoscopic systems. The Landauer-Buttiker-Keldysh formalism is used to model samples with mobilities and Rashba coupling strengths which are experimentally accessible and to demonstrate the appearance of measurable charge currents induced by the spin-dependent chemical potential gradient in the reciprocal spin-Hall effect. We also demonstrate that within the mesoscopic coherent transport regime the Onsager relations are fulfilled for the disorder averaged conductances for electron and hole mesoscopic systems.