Towards Holographic Spintronics

TL;DR

This paper explores the holographic modeling of spin transport phenomena, focusing on the role of the bulk spin connection as a source for boundary spin currents, and evaluates related transport coefficients.

Contribution

It introduces a holographic framework for analyzing spin transport, linking bulk spin connection to boundary spin currents, and computes spin transport coefficients in a simple setup.

Findings

Holographic relation between bulk spin connection and boundary spin current

Calculation of spin transport coefficients and thermal spin Hall conductivity

Establishment of a foundation for holographic spintronics studies

Abstract

We study transport phenomena of total angular momentum in holography, as a first step toward holographic understanding of spin transport phenomena. Spin current, which has both the local Lorentz index for spins and the space-time vector index for current, couples naturally to the bulk spin connection. Therefore the bulk spin connection becomes the source for the boundary spin current. This allows us to evaluate the spin current holographically, with a relation to the stress tensor and metric fluctuations in the bulk. We examine the spin transport coefficients and the thermal spin Hall conductivity in a simple holographic setup.