The Intrinsic Magnetization of Antiferromagnetic Textures

Abstract

Antiferromagnets (AFMs) exhibit intrinsic magnetization when the order parameter spatially varies. This intrinsic spin is present even at equilibrium and can be interpreted as a twisting of the homogeneous AFM into a state with a finite spin. Because magnetic moments couple directly to external magnetic fields, the intrinsic magnetization can alter the dynamics of antiferromagnetic textures under such influence. Starting from the discrete Heisenberg model, we derive the continuum limit of the free energy of AFMs in the exchange approximation and explicitly rederive that the spatial variation of the antiferromagnetic order parameter is associated with an intrinsic magnetization density. We calculate the magnetization profile of a domain wall and discuss how the intrinsic magnetization reacts to external forces. We show conclusively, both analytically and numerically, that a spatially inhomogeneous magnetic field can move and control the position of domain walls in AFMs. By comparing our model to a commonly used alternative parametrization procedure for the continuum fields, we show that the physical interpretations of these fields depend critically on the choice of parametrization procedure for the discrete-to-continuous transition. This can explain why a significant amount of recent studies of the dynamics of AFMs, including effective models that describe the motion of antiferromagnetic domain walls, have neglected the intrinsic spin of the textured order parameter.

12 pages, 7 figures

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Cited by in corpus (60)

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• Magnetic texture based magnonics
• Current-Induced Dynamics and Chaos of Antiferromagnetic Bimerons
• Nanoscale mechanics of antiferromagnetic domain walls
• Controlling Chiral Domain Walls in Antiferromagnets Using Spin-Wave Helicity
• Bimeron Clusters in Chiral Antiferromagnets
• Co-existence of Bloch and Neel walls in a collinear antiferromagnet
• Ultrafast generation and dynamics of isolated skyrmions in antiferromagnetic insulators
• Nonabelian magnonics in antiferromagnets
• Antiferromagnetic domain wall motion driven by polarized spin waves
• Dynamics of domain walls motion driven by spin-orbit torque in antiferromagnets
• Structure, control, and dynamics of altermagnetic textures
• Unconventional anomalous Hall effect from antiferromagnetic domain walls of Nd2Ir2O7 thin films
• Proper dissipative torques in antiferromagnetic dynamics
• Spin-Torque-driven Terahertz Auto Oscillations in Non-Collinear Coplanar Antiferromagnets
• Dynamics of antiferromagnetic skyrmion in absence and presence of pinning defect
• Ultrafast domain wall motion in ferrimagnets induced by magnetic anisotropy gradient
• Gauge fields and related forces in antiferromagnetic solitons
• Electrically Driven Bose-Einstein Condensation of Magnons in Antiferromagnets
• Atomic antiferromagnetic domain wall propagation beyond the relativistic limit
• Curvature-driven homogeneous Dzyaloshinskii-Moriya interaction and emergent weak ferromagnetism in anisotropic antiferromagnetic spin chains
• Dynamics of ferrimagnetic skyrmionium driven by spin-orbit torque
• Optical-controlled ultrafast dynamics of skyrmion in antiferromagnets
• Spin-wave-driven skyrmion dynamics in ferrimagnets: Effect of net angular momentum
• Spin-transfer Antiferromagnetic Resonance
• Geometric magnonics with chiral magnetic domain walls
• Driving a magnetized domain wall in an antiferromagnet by magnons
• Classification of Magnetic Forces on Antiferromagnetic Domain Wall
• Spin texture motion in antiferromagnetic and ferromagnetic nanowires
• Soliton-like magnetization textures in non-collinear antiferromagnets
• Recent progress in antiferromagnetic dynamics
• Ultrafast depinning of domain wall in notched antiferromagnetic nanostructures
• Quantum control of topological defects in magnetic systems
• Nonreciprocal dynamics of ferrimagnetic bimerons
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• Magnonic analog of relativistic Zitterbewegung in an antiferromagnetic spin chain
• Magnetic field control of antiferromagnetic domain walls in a thermal gradient
• Numerical Computation of Spin-Transfer Torques for Antiferromagnetic Domain walls
• Annihilation of Domain Walls in a Ferromagnetic Wire
• Rotating magnetic field driven antiferromagnetic domain wall motion: Role of Dzyaloshinskii-Moriya interaction
• Microscopic Calculation of Spin Torques in Textured Antiferromagnets
• Voltage-Induced Inertial Domain Wall Motion in an Antiferromagnetic Nanowire
• Staggered field driven domain walls motion in antiferromagnetic heterojunctions
• Cross effect of magnetic field and charge current on antiferromagnetic dynamics
• Atomic-Scale Spin-Wave Polarizer Based on a Sharp Antiferromagnetic Domain Wall
• Magnetically switchable spin wave retarder with $90^{\circ }$ antiferromagnetic domain wall
• Chiral-induced switching of antiferromagnet spins in a confined nanowire
• Boundary conditions for the Néel order parameter in a chiral antiferromagnetic slab
• Magnon-driven dynamics of frustrated skyrmion in synthetic antiferromagnets: Effect of skyrmion precession
• Signal detection based on the chaotic motion of an antiferromagnetic domain wall
• Inertial domain wall characterization in layered multisublattice antiferromagnets
• Collective dynamics of domain walls: an antiferromagnetic spin texture in an optical cavity
• High-speed antiferromagnetic domain walls driven by coherent spin waves
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• Chaotic spin precession in antiferromagnetic domain walls
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• Fast reversal of Néel vectors in antiferromagnets via domain-wall motion driven by vertically injected spin currents
• Part of a collection of reviews on antiferromagnetic spintronics. Antiferromagnetic dynamics, spin-texures, and nanostructures