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Title: Hydrodynamic description of long-distance spin transport through noncollinear magnetization states: Role of dispersion, nonlinearity, and damping

Abstract

Nonlocal compensation of magnetic damping by spin injection has been theoretically shown to display dynamic, noncollinear magnetization states that carry spin currents over micrometer distances. Such states can be generically referred to as dissipative exchange flows (DEFs) because spatially diffusing spin currents are established by the mutual exchange torque exerted by neighboring spins. Analytical studies to date have been limited to the weak spin injection assumption whereby the equation of motion for the magnetization is mapped to hydrodynamic equations describing spin flow and then linearized. In this work, we analytically and numerically study easy-plane ferromagnetic channels subject to spin injection of arbitrary strength at one extremum under a unified hydrodynamic framework. We propose that DEFs generally exhibit a nonlinear profile along the channel accompanied by a nonlinear frequency tunability. At large injection strengths, we fully characterize a magnetization state we call a contact-soliton DEF (CS-DEF) composed of a stationary soliton at the injection site, which smoothly transitions into a DEF and exhibits a negative frequency tunability. The transition between a DEF and a CS-DEF occurs at the maximum precessional frequency and coincides with the Landau criterion: a subsonic to supersonic flow transition. Leveraging the hydraulic-electrical analogy, the current-voltage characteristics ofmore » a nonlinear DEF circuit are presented. Micromagnetic simulations of nanowires that include magnetocrystalline anisotropy and nonlocal dipole fields are in qualitative agreement with the analytical results. The magnetization states found here along with their characteristic profile and spectral features provide quantitative guidelines to pursue an experimental demonstration of DEFs in ferromagnetic materials and establish a unified description for long-distance spin transport.« less

Authors:
 [1];  [1]
  1. Univ. of Colorado, Boulder, CO (United States)
Publication Date:
Research Org.:
Univ. of Colorado, Boulder, CO (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1510483
Alternate Identifier(s):
OSTI ID: 1546293
Grant/Contract Number:  
SC0018237; 0000231415
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 18; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Magnetization dynamics; spin current; spin texture; spintronics

Citation Formats

Iacocca, Ezio, and Hoefer, Mark A. Hydrodynamic description of long-distance spin transport through noncollinear magnetization states: Role of dispersion, nonlinearity, and damping. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.99.184402.
Iacocca, Ezio, & Hoefer, Mark A. Hydrodynamic description of long-distance spin transport through noncollinear magnetization states: Role of dispersion, nonlinearity, and damping. United States. doi:10.1103/PhysRevB.99.184402.
Iacocca, Ezio, and Hoefer, Mark A. Fri . "Hydrodynamic description of long-distance spin transport through noncollinear magnetization states: Role of dispersion, nonlinearity, and damping". United States. doi:10.1103/PhysRevB.99.184402. https://www.osti.gov/servlets/purl/1510483.
@article{osti_1510483,
title = {Hydrodynamic description of long-distance spin transport through noncollinear magnetization states: Role of dispersion, nonlinearity, and damping},
author = {Iacocca, Ezio and Hoefer, Mark A.},
abstractNote = {Nonlocal compensation of magnetic damping by spin injection has been theoretically shown to display dynamic, noncollinear magnetization states that carry spin currents over micrometer distances. Such states can be generically referred to as dissipative exchange flows (DEFs) because spatially diffusing spin currents are established by the mutual exchange torque exerted by neighboring spins. Analytical studies to date have been limited to the weak spin injection assumption whereby the equation of motion for the magnetization is mapped to hydrodynamic equations describing spin flow and then linearized. In this work, we analytically and numerically study easy-plane ferromagnetic channels subject to spin injection of arbitrary strength at one extremum under a unified hydrodynamic framework. We propose that DEFs generally exhibit a nonlinear profile along the channel accompanied by a nonlinear frequency tunability. At large injection strengths, we fully characterize a magnetization state we call a contact-soliton DEF (CS-DEF) composed of a stationary soliton at the injection site, which smoothly transitions into a DEF and exhibits a negative frequency tunability. The transition between a DEF and a CS-DEF occurs at the maximum precessional frequency and coincides with the Landau criterion: a subsonic to supersonic flow transition. Leveraging the hydraulic-electrical analogy, the current-voltage characteristics of a nonlinear DEF circuit are presented. Micromagnetic simulations of nanowires that include magnetocrystalline anisotropy and nonlocal dipole fields are in qualitative agreement with the analytical results. The magnetization states found here along with their characteristic profile and spectral features provide quantitative guidelines to pursue an experimental demonstration of DEFs in ferromagnetic materials and establish a unified description for long-distance spin transport.},
doi = {10.1103/PhysRevB.99.184402},
journal = {Physical Review B},
number = 18,
volume = 99,
place = {United States},
year = {2019},
month = {5}
}

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Works referenced in this record:

Magnonic Band Structure Established by Chiral Spin-Density Waves in Thin-Film Ferromagnets
journal, January 2019


Emission of spin waves by a magnetic multilayer traversed by a current
journal, October 1996


Spin-Josephson effects in exchange coupled antiferromagnetic insulators
journal, September 2016


Dispersive hydrodynamics of nonlinear polarization waves in two-component Bose-Einstein condensates
journal, January 2016


Spin hydrodynamics in amorphous magnets
journal, August 2018


Spin Hall Effects in Metals
journal, October 2013


The design and verification of MuMax3
journal, October 2014

  • Vansteenkiste, Arne; Leliaert, Jonathan; Dvornik, Mykola
  • AIP Advances, Vol. 4, Issue 10
  • DOI: 10.1063/1.4899186

Enhanced Gilbert Damping in Thin Ferromagnetic Films
journal, February 2002


Superfluid spin transport in ferro- and antiferromagnets
journal, March 2019


Experimental signatures of spin superfluid ground state in canted antiferromagnet Cr 2 O 3 via nonlocal spin transport
journal, April 2018


The Onset of Turbulence in Pipe Flow
journal, July 2011


Classics in Magnetics A Phenomenological Theory of Damping in Ferromagnetic Materials
journal, November 2004


Topological Effects on Quantum Phase Slips in Superfluid Spin Transport
journal, March 2016


Symmetry-broken dissipative exchange flows in thin-film ferromagnets with in-plane anisotropy
journal, October 2017


Spin-Torque-Biased Magnetic Strip: Nonequilibrium Phase Diagram and Relation to Long Josephson Junctions
journal, July 2018


Thermally activated phase slips in superfluid spin transport in magnetic wires
journal, January 2016


Equilibrium spin currents and the magnetoelectric effect in magnetic nanostructures
journal, December 2005


Vortex-antivortex proliferation from an obstacle in thin film ferromagnets
journal, April 2017


Superfluid Spin Transport Through Easy-Plane Ferromagnetic Insulators
journal, June 2014


Magnetic surface anisotropy of transition metal ultrathin films
journal, November 1989

  • Bruno, P.; Renard, J. -P.
  • Applied Physics A Solids and Surfaces, Vol. 49, Issue 5
  • DOI: 10.1007/BF00617016

Superfluid spin transport through antiferromagnetic insulators
journal, September 2014


Topological spin transport by Brownian diffusion of domain walls
journal, December 2015


Spin Superfluidity in Biaxial Antiferromagnetic Insulators
journal, March 2017


Current-driven excitation of magnetic multilayers
journal, June 1996


Long-distance spin transport through a graphene quantum Hall antiferromagnet
journal, June 2018


Dissipationless Spin Transport in Thin Film Ferromagnets
journal, October 2001


Tunable long-distance spin transport in a crystalline antiferromagnetic iron oxide
journal, September 2018


Long-distance propagation of short-wavelength spin waves
journal, February 2018


Nonlocal transport mediated by spin supercurrents
journal, December 2014


Breaking of Galilean Invariance in the Hydrodynamic Formulation of Ferromagnetic Thin Films
journal, January 2017


Hydrodynamic Theory of Spin Waves
journal, December 1969


Long-distance spin transport in a disordered magnetic insulator
journal, July 2017

  • Wesenberg, Devin; Liu, Tao; Balzar, Davor
  • Nature Physics, Vol. 13, Issue 10
  • DOI: 10.1038/nphys4175

Spin currents and spin superfluidity
journal, April 2010


Modulation instability: The beginning
journal, March 2009