Thermophoresis of an Antiferromagnetic Soliton

Abstract

We study dynamics of an antiferromagnetic soliton under a temperature gradient. To this end, we start by phenomenologically constructing the stochastic Landau-Lifshitz-Gilbert equation for an antiferromagnet with the aid of the fluctuation-dissipation theorem. We then derive the Langevin equation for the soliton's center of mass by the collective coordinate approach. An antiferromagentic soliton behaves as a classical massive particle immersed in a viscous medium. By considering a thermodynamic ensemble of solitons, we obtain the Fokker-Planck equation, from which we extract the average drift velocity of a soliton. The diffusion coefficient is inversely proportional to a small damping constant $\alpha$, which can yield a drift velocity of tens of m/s under a temperature gradient of $1$ K/mm for a domain wall in an easy-axis antiferromagnetic wire with $\alpha \sim 10^{-4}$.

5 pages, 1 figure

References in corpus (12)

• Fluctuations and response of nonequilibrium states
• Dynamics of domain walls in magnetic nanostrips
• Phenomenology of Current-Induced Dynamics in Antiferromagnets
• Superfluid spin transport through antiferromagnetic insulators
• Staggered Dynamics in Antiferromagnets by Collective Coordinates
• Inertia, diffusion and dynamics of a driven skyrmion
• Propulsion of a domain wall in an antiferromagnet by magnons
• Thermally-Assisted Current-Driven Domain Wall Motion
• Skyrmionic spin Seebeck effect via dissipative thermomagnonic torques
• Skyrmions in a Doped Antiferromagnet
• Theory of spin magnetohydrodynamics
• Thermophoresis of Brownian particles driven by coloured noise

Cited by in corpus (35)

• Antiferromagnetic spintronics
• Static and Dynamical Properties of Antiferromagnetic Skyrmions in the Presence of Applied Current and Temperature
• Dynamics of the antiferromagnetic skyrmion induced by a magnetic anisotropy gradient
• Ultrafast generation and dynamics of isolated skyrmions in antiferromagnetic insulators
• Topological spin Hall effects and tunable skyrmion Hall effects in uniaxial antiferromagnetic insulators
• Nonabelian magnonics in antiferromagnets
• Domain wall motion by localized temperature gradients
• Landau-Lifshitz theory of the thermomagnonic torque
• Emergent Geometric Frustration of Artificial Magnetic Skyrmion Crystals
• Magnetic Domain Walls as Hosts of Spin Superfluids and Generators of Skyrmions
• Thermodynamic Magnon Recoil for Domain Wall Motion
• Ultrafast domain wall motion in ferrimagnets induced by magnetic anisotropy gradient
• Antiferromagnetic textures and dynamics on the surface of a heavy metal
• Manipulating antiferromagnets with magnetic fields: ratchet motion of multiple domain walls induced by asymmetric field pulses
• Topological spin transport by Brownian diffusion of domain walls
• Topological spin-transfer drag driven by skyrmion diffusion
• Driving a magnetized domain wall in an antiferromagnet by magnons
• Spin texture motion in antiferromagnetic and ferromagnetic nanowires
• Brownian Motion and Entropic Torque Driven Motion of Domain-Wall in Antiferromagnets
• Kinetic theory of dark solitons with tunable friction
• Ultrafast depinning of domain wall in notched antiferromagnetic nanostructures
• Quantum control of topological defects in magnetic systems
• Ultralow-loss domain wall motion driven by magnetocrystalline anisotropy gradient in antiferromagnetic nanowire
• The Landau-Lifshitz-Bloch equation for domain wall motion in antiferromagnets
• Stabilization of the skyrmion crystal phase in thin-film antiferromagnets
• Microwave fields driven domain wall motions in antiferromagnetic nanowires
• Magnon-induced non-Markovian friction of a domain wall in a ferromagnet
• Magnon Landau Levels and Spin Responses in Antiferromagnets
• Metastable antiphase boundary ordering in CaFe${}_2$O${}_4$
• Spin caloric effects in antiferromagnets assisted by an external spin current
• Magnetic field control of antiferromagnetic domain walls in a thermal gradient
• Rotating magnetic field driven antiferromagnetic domain wall motion: Role of Dzyaloshinskii-Moriya interaction
• Staggered field driven domain walls motion in antiferromagnetic heterojunctions
• Nonreciprocal superfluidlike topological spin transport
• Quantum thermophoresis