Theory of magnon hydrodynamics in collinear antiferromagnets
arXiv:2508.05057 · doi:10.1103/zwgx-fxkw
Abstract
We investigate the transport of spin angular momentum and linear momentum carried by magnons in electrically insulating collinear antiferromagnets (AFs). Focusing on both transverse and longitudinal geometries, we model magnons as a viscous fluid and explore the hydrodynamic transport regime that emerges when the magnon-magnon scattering length is shorter than the momentum-relaxation length, such that momentum-conserving processes dominate over momentum-relaxing ones. We develop a theoretical framework to investigate viscous effects in the magnon hydrodynamic regime, which give rise to measurable transport signatures such as nonlocal resistance and spin and thermal conductance. Accounting for both momentum and spin relaxations, we derive hydrodynamic equations governing magnon momentum and spin transport. Notably, interspecies scattering between antiferromagnetic magnons with opposite spin angular momentum induces drag-like effects that strongly modify spin current propagation. We derive expressions for magnon conductivity and introduce an accessibility parameter quantifying intra-band momentum transfer. Our results establish antiferromagnetic insulators as a promising platform for observing magnon-fluid dynamics and exploring collective spin transport phenomena.
arXiv comment10 pages, 5 figures
References in corpus (36)
- Antiferromagnetic spintronics
- Antiferromagnetic spintronics
- Long distance transport of magnon spin information in a magnetic insulator at room temperature
- Negative local resistance caused by viscous electron backflow in graphene
- Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
- Theory of magnon-driven spin Seebeck effect
- Electrically controlled long-distance spin transport through an antiferromagnetic insulator
- Theory of the Spin Seebeck Effect
- Hydrodynamics of electrons in graphene
- Hydrodynamic electron flow in high-mobility wires
- Magnon spin transport driven by the magnon chemical potential in a magnetic insulator
- Measuring Hall Viscosity of Graphene's Electron Fluid
- Visualizing Poiseuille flow of hydrodynamic electrons
- Electrical and Thermal Transport at the Planckian Bound of Dissipation in the Hydrodynamic Electron Fluid of WP2
- Non-local transport and the hydrodynamic shear viscosity in graphene
- Fluidity Onset in Graphene
- Superfluid spin transport through antiferromagnetic insulators
- Imaging phonon-mediated hydrodynamic flow in WTe2
- Viscous electron fluids
- Hydrodynamic approach to two-dimensional electron systems
- Spin Superfluidity in Biaxial Antiferromagnetic Insulators
- Electron-hole collision limited transport in charge-neutral bilayer graphene
- Observation of current whirlpools in graphene at room temperature
- Ballistic magnon heat conduction and possible Poiseuille flow in the helimagnetic insulator CuOSeO
- Phonon hydrodynamics in crystalline materials
- Superballistic electron flow through a point contact in a Ga[Al]As heterostructure
- Spin Transport in Thick Insulating Antiferromagnetic Films
- Nonlocal Spin Transport as a Probe of Viscous Magnon Fluids
- Hydrodynamic sound modes and Galilean symmetry breaking in a magnon fluid
- Breaking down the magnonic Wiedemann-Franz law in the hydrodynamic regime
- Micromagnetic study of spin transport in easy-plane antiferromagnetic insulators
- Non-local magnon transconductance in extended magnetic insulating films.\\ Part I: spin diode effect
- Magnon drag induced by magnon-magnon interactions characteristic of noncollinear magnets
- Non-local magnon transconductance in extended magnetic insulating films.\\Part II: two-fluid behavior
- Interband magnon drag in ferrimagnetic insulators
- Stability of chiral magnon condensates in collinear antiferromagnetic insulators