Towards Holographic Spintronics

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.

9 pages, 3 figures. v2: minor improvements, published version

References in corpus (8)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Impure AdS/CFT
• Gauge gravity duality for d-wave superconductors: prospects and challenges
• The Spin of Holographic Electrons at Nonzero Density and Temperature
• Impurity effect in a holographic superconductor
• Spin and holographic metals

Cited by in corpus (9)

• Relativistic spin hydrodynamics with torsion and linear response theory for spin relaxation
• Deep Learning and AdS/CFT
• The causality and stability of relativistic spin-hydrodynamics
• Introductory notes on holographic superconductors
• A Holographic Realization of Ferromagnets
• Cross effects in spin hydrodynamics: A revisit Entropy analysis and statistical operator
• Taking a critical look at holographic critical matter
• Holographic Aspects of Even-Dimensional Topological Gravity
• Anisotropic linear waves and breakdown of the momentum expansion in spin magnetohydrodynamics