Spin pumping and magnetization dynamics in ferromagnet-Luttinger liquid junctions

Abstract

We study spin transport between a ferromagnet with time-dependent magnetization and a conducting carbon nanotube or quantum wire, modeled as a Luttinger liquid. The precession of the magnetization vector of the ferromagnet due for instance to an outside applied magnetic field causes spin pumping into an adjacent conductor. Conversely, the spin injection causes increased magnetization damping in the ferromagnet. We find that, if the conductor adjacent to the ferromagnet is a Luttinger liquid, spin pumping/damping is suppressed by interactions, and the suppression has clear Luttinger liquid power law temperature dependence. We apply our result to a few particular setups. First we study the effective Landau-Lifshitz-Gilbert (LLG) coupled equations for the magnetization vectors of the two ferromagnets in a FM-LL-FM junction. Also, we compute the Gilbert damping for a FM-LL and a FM-LL-metal junction.

arXiv comment7 pages, 3 figures, RevTex 4

References in corpus (8)

• Basic obstacle for electrical spin-injection from a ferromagnetic metal into a diffusive semiconductor
• Enhanced Gilbert Damping in Thin Ferromagnetic Films
• Spin pumping and magnetization dynamics in metallic multilayers
• Scattering approach to parametric pumping
• Spin battery operated by ferromagnetic resonance
• Spin transport in interacting quantum wires and carbon nanotubes
• Spin-dependent transport in a Luttinger liquid
• Spin Transport in a Quantum Wire

Cited by in corpus (6)

• Nonlocal magnetization dynamics in ferromagnetic heterostructures
• Purely electric spin pumping in one-dimension
• Carbon nanotube: a low-loss spin-current waveguide
• Nonlocal pure spin current injection via quantum pumping and crossed Andreev reflection
• Junctions of Spin-Incoherent Luttinger Liquids with Ferromagnets and Superconductors
• Resolving the order parameter of High-T${}_c$ Superconductors through quantum pumping spectroscopy