Magnon spin transport driven by the magnon chemical potential in a magnetic insulator

Abstract

We develop a linear-response transport theory of diffusive spin and heat transport by magnons in magnetic insulators with metallic contacts. The magnons are described by a position dependent temperature and chemical potential that are governed by diffusion equations with characteristic relaxation lengths. Proceeding from a linearized Boltzmann equation, we derive expressions for length scales and transport coefficients. For yttrium iron garnet (YIG) at room temperature we find that long-range transport is dominated by the magnon chemical potential. We compare the model's results with recent experiments on YIG with Pt contacts [L.J. Cornelissen, et al., Nat. Phys. 11, 1022 (2015)] and extract a magnon spin conductivity of ${\sigma }_m=5\times 10^5$ S/m. Our results for the spin Seebeck coefficient in YIG agree with published experiments. We conclude that the magnon chemical potential is an essential ingredient for energy and spin transport in magnetic insulators.

References in corpus (9)

• Spin Seebeck insulator
• Theory of spin Hall magnetoresistance
• Theory of magnon-driven spin Seebeck effect
• Temperature dependence of spin diffusion length and spin Hall angle in Au and Pt
• Magnon Mediated Electric Current Drag Across a Ferromagnetic Insulator Layer
• Interfacial Spin and Heat Transfer between Metals and Magnetic Insulators
• Dynamic phase diagram of dc-pumped magnon condensates
• Spin Hall phenomenology of magnetic dynamics
• Spintronics and Magnon Bose-Einstein Condensation

Cited by in corpus (193)

• Electrically controlled long-distance spin transport through an antiferromagnetic insulator
• Photoferroelectric oxides
• Control and Local Measurement of the Spin Chemical Potential in a Magnetic Insulator
• Magnon transport in quasi-two-dimensional van der Waals antiferromagnets
• Thermal spin dynamics of yttrium iron garnet
• Spin Insulatronics
• Dissecting spin-phonon equilibration in ferrimagnetic insulators by ultrafast lattice excitation
• Magnonic topological insulators in antiferromagnets
• Magnon-phonon interactions in magnetic insulators
• Magnon-polaron transport in magnetic insulators
• Chirality as Generalized Spin-Orbit Interaction in Spintronics
• Temperature dependence of the magnon spin diffusion length and magnon spin conductivity in the magnetic insulator yttrium iron garnet
• Picosecond spin Seebeck effect
• Spin Injection and Detection via the Anomalous Spin Hall Effect in a Ferromagnetic Metal
• Observation of Antiferromagnetic Magnon Pseudospin Dynamics and the Hanle effect
• Influence of yttrium iron garnet thickness and heater opacity on the nonlocal transport of electrically and thermally excited magnons
• Spin-orbit-torque magnonics
• Nonlocal magnon-polaron transport in yttrium iron garnet
• Spin transport in a magnetic insulator with zero effective damping
• Giant magnon spin conductivity approaching the two-dimensional transport regime in ultrathin yttrium iron garnet films
• Quantum-impurity relaxometry of magnetization dynamics
• Evidence for the role of the magnon energy relaxation length in the Spin Seebeck Effect
• Bulk and edge spin transport in topological magnon insulators
• Magnon Valves Based on YIG/NiO/YIG All-Insulating Magnon Junctions
• Concomitant enhancement of longitudinal spin Seebeck effect with thermal conductivity
• Spin Seebeck effect in the layered ferromagnetic insulators CrSiTe${}_3$ and CrGeTe${}_3$
• Chiral Pumping of Spin Waves
• Quantum thermodynamics of complex ferrimagnets
• Long-Range Phonon Spin Transport in Ferromagnet-Nonmagnetic Insulator Heterostructures
• Spin and spin current -- From fundamentals to recent progress
• Theory of spin Peltier effect
• Emission of coherent propagating magnons by insulator-based spin-orbit torque oscillators
• Nonvolatile Electric Field Control of Thermal Magnons in the Absence of an Applied Magnetic Field
• Efficient spin transport in a paramagnetic insulator
• Spin Seebeck Effect: Sensitive Probe for Elementary Excitation, Spin Correlation, Transport, Magnetic Order, and Domains in Solids
• Enhanced Spin Conductance of a Thin-Film Insulating Antiferromagnet
• Electrical properties of single crystal Yttrium Iron Garnet ultra-thin films at high temperatures
• Long distance magnon transport in the van der Waals antiferromagnet CrPS${}_4$
• Quantum Sensing of Spin Transport Properties of an Antiferromagnetic Insulator
• Pure spin currents in magnetically ordered insulator/normal metal heterostructures
• Control of nonlocal magnon spin transport via magnon drift currents
• Angular Momentum Conservation and Phonon Spin in Magnetic Insulators
• Magnetic properties and domain structure of ultrathin yttrium iron garnet/Pt bilayers
• Spin conductance of YIG thin films driven from thermal to subthermal magnons regime by large spin-orbit torque
• Chemical potential of quasi-equilibrium magnon gas driven by pure spin current
• Evidence for spin current driven Bose-Einstein condensation of magnons
• Local Temperatures Out of Equilibrium
• Spin caloritronics in a CrBr${}_3$-based magnetic van der Waals heterostructure
• Excitations of the ferroelectric order
• First-principles study of magnon-phonon interactions in gadolinium iron garnet
• A review of modelling in ferrimagnetic spintronics
• $s$-$d$ model for local and nonlocal spin dynamics in laser-excited magnetic heterostructures
• Spin Seebeck and Spin Nernst Effects of Magnons in Noncollinear Antiferromagnetic Insulators
• Observation of nuclear-spin Seebeck effect
• Green's function formalism for spin transport in metal-insulator-metal heterostructures
• Criteria for accurate determination of the magnon relaxation length from the nonlocal spin Seebeck effect
• Strong interfacial exchange field in a heavy metal/ferromagnetic insulator system determined by spin Hall magnetoresistance
• Theory of Transport in Ferroelectric Capacitors
• Modeling ultrafast demagnetization and spin transport: the interplay of spin-polarized electrons and thermal magnons
• Magnon contribution to unidirectional spin Hall magnetoresistance
• Enhanced magnon spin transport in NiFe${}_2$O${}_4$ thin films on a lattice-matched substrate
• Antiferromagnetic magnon pseudospin: Dynamics and diffusive transport
• Boltzmann approach to the longitudinal spin Seebeck effect
• Giant transition-state enhancement of quasiparticle spin-Hall effect in an exchange-spin-split superconductor detected by non-local magnon spin-transport
• Magnon-phonon relaxation in yttrium iron garnet from first principles
• Thermally Driven Long Range Magnon Spin Currents in Yttrium Iron Garnet due to Intrinsic Spin Seebeck Effect
• Observation of nonreciprocal magnon Hanle effect
• Thermodynamic transport theory of spin waves in ferromagnetic insulators
• Finite temperature magnon spectra in yttrium iron garnet from mean field approach in tight-binding model
• Thermographic measurements of spin-current-induced temperature modulation in metallic bilayers
• Long lifetime of thermally-excited magnons in bulk yttrium iron garnet
• Spin Transport in Thick Insulating Antiferromagnetic Films
• Paramagnetic spin Hall magnetoresistance
• Nonlocal Spin Transport as a Probe of Viscous Magnon Fluids
• Surface dynamics of rough magnetic films
• Magnonics vs. Ferronics
• Modulation of magnon spin transport in a magnetic gate transistor
• Magnon Planar Hall Effect and Anisotropic Magnetoresistance in a Magnetic Insulator
• Experimental proof of the reciprocal relation between spin Peltier and spin Seebeck effects in a bulk YIG/Pt bilayer
• Differences in the magnon diffusion length for electrically and thermally driven magnon currents in Y${}_3$Fe${}_5$O${}_{12}$
• Magnetic-field-induced suppression of spin Peltier effect in Pt/${\mathrm{Y}}_3\mathrm{F}{\mathrm{e}}_5{\mathrm{O}}_{12}$ system at room temperature
• Electrically Driven Bose-Einstein Condensation of Magnons in Antiferromagnets
• Lateral transport properties of thermally excited magnons in yttrium iron garnet films
• Topological Valley Transport of Gapped Dirac Magnons in Bilayer Ferromagnetic Insulators
• Magnetic Droplet Soliton Nucleation in Oblique Fields
• The Ferroelectric Point Contact
• Spin-Phonon Interaction in Yttrium Iron Garnet
• Magnon-magnon interaction and magnon relaxation time in ferromagnetic Cr2Ge2Te6 monolayer
• Spin-current coherence peak in superconductor/magnet junctions
• Control of the Bose-Einstein Condensation of Magnons by the Spin-Hall Effect
• Mechanism of paramagnetic spin Seebeck effect
• Interfacial Spin Seebeck effect in noncollinear magnetic systems
• Laser control of magnonic topological phases in antiferromagnets
• All-electrical Magnon Transport Experiments in Magnetically Ordered Insulators
• Pure dephasing of magnonic quantum states
• Transient response of spin Peltier effect revealed by lock-in thermoreflectance measurement
• Spin transparency for an interface of an ultrathin magnet within the spin dephasing length
• Local thermomagnonic torques in two-fluid spin dynamics
• Chemical potential of an antiferromagnetic magnon gas
• Magnon-Cooparons in magnet-superconductor hybrids
• Spin-Wave Doppler Shift by Magnon Drag in Magnetic Insulators
• Magnetic field dependence of the nonlocal spin Seebeck effect in Pt/YIG/Pt systems at low temperatures
• Role of spin mixing conductance in determining thermal spin pumping near the ferromagnetic phase transition in EuO_{1-x} and La2NiMnO6
• Hydrodynamics of three-dimensional skyrmions in frustrated magnets
• Bose-Einstein Condensation of Nonequilibrium Magnons in Confined Systems
• Theory of spin-Hall magnetoresistance in the AC (terahertz) regime
• Magnonic Noise and Wiedemann-Franz Law
• Composition-tunable magnon-polaron anomalies in spin Seebeck effects in epitaxial Bi${}_x$Y${}_{3-x}$Fe${}_5$O${}_{12}$ films
• Electrically induced strong modulation of magnons transport in ultrathin magnetic insulator films
• Theory of the Spin Seebeck Effect at a Topological-Insulator/Ferromagnetic-Insulator Interface
• Superconductivity provides a giant enhancement to the spin battery effect
• Spin Seebeck effect at low temperatures in the nominally paramagnetic insulating state of vanadium dioxide
• Ultrafast magnetization reversal in ferromagnetic spin-valves: an s-d model perspective
• Pumping of magnons in a Dzyaloshinskii-Moriya ferromagnet
• Nonlocal magnon spin transport in yttrium iron garnet with tantalum and platinum spin injection/detection electrodes
• Microwave control of thermal magnon spin transport
• Magnon transport in ${\mathbf{Y}}_3\mathbf{F}{\mathbf{e}}_5{\mathbf{O}}_{12}$/Pt nanostructures with reduced effective magnetization
• Magnons versus electrons in thermal spin transport through metallic interfaces
• Microscopic theory of spin Seebeck effect in antiferromagnets
• Microscopic theory of magnon-drag electron flow in ferromagnetic metals
• Theory of the low-temperature longitudinal spin Seebeck effect
• Absence of evidence of spin transport through amorphous Y${}_3$Fe${}_5$O${}_{12}$
• Temperature dependence of the effective spin-mixing conductance probed with lateral non-local spin valves
• Magnon currents excited by the spin Seebeck effect in ferromagnetic EuS thin films
• Electromagnetic Proximity Effect: Superconducting Magnonics and Beyond
• Breaking down the magnonic Wiedemann-Franz law in the hydrodynamic regime
• Anomalous spin Hall angle of a metallic ferromagnet determined by a multiterminal spin injection/detection device
• Quantitative comparison of magnon transport experiments in three-terminal YIG/Pt nanostructures acquired via dc and ac detection techniques
• Thickness dependence of spin Peltier effect visualized by thermal imaging technique
• Short-range Thermal Magnon Diffusion in Magnetic Garnet
• Nonlinear relaxation between magnons and phonons in insulating ferromagnets
• Noise in tunneling spin current across coupled quantum spin chains
• Magnonic thermal transport using the quantum Boltzmann equation
• Determining complex spin mixing conductance and spin diffusion length from spin pumping experiments in magnetic insulator/heavy metal bilayers
• Detection of the interfacial exchange field at a ferromagnetic insulator-nonmagnetic metal interface with pure spin currents
• Solid-state platform for cooperative quantum dynamics driven by correlated emission
• Cryogenic spin Seebeck effect
• Transport properties of spin superfluids: comparing easy-plane ferro- and antiferromagnets
• Magnon spin transport around the compensation magnetic field in easy-plane antiferromagnetic insulators
• Nonreciprocal superposition state in antiferromagnetic optospintronics
• Magnon spin Hall magnetoresistance of a gapped quantum paramagnet
• Observing Differential Spin Currents by Resonant Inelastic X-ray Scattering
• Magnon dispersion and spin transport in CrCl${}_3$ bilayers under different strain-induced magnetic states
• Electrically induced angular momentum flow between separated ferromagnets
• A generalized model of magnon kinetics and subgap magnetic noise
• Green's function formalism for nonlocal elliptical magnon transport
• Non-local magnon transport in a magnetic domain wall wave guide
• Voltage-control of damping constant in magnetic-insulator/topological-insulator bilayers
• Magnonics in collinear magnetic insulating systems
• Many-body theory of spin-current driven instabilities in magnetic insulators
• Electric Analog of Magnons in Order-Disorder Ferroelectrics
• Magnon Current Generation by Dynamical Distortion
• Spin current injection at magnetic insulator/superconductor interfaces
• Impact of electromagnetic fields and heat on spin transport signals in Y${}_3$Fe${}_5$O${}_{12}$
• Violation of the magnonic Wiedemann-Franz law in the strong nonlinear regime
• Non-equilibrium Magnon Engineering Enabling Significant Thermal Transport Modulation
• Magnonic spin Joule heating and rectification effects
• Chiral magnon-polaron edge states in Heisenberg-Kitaev magnets
• Long-range spin transport on the surface of topological Dirac semimetal
• Effect of magnon decays on parametrically pumped magnons
• Theory for electrical detection of the magnon Hall effect induced by dipolar interactions
• Magnon spin capacitor
• Magnon-Driven Magnetothermal Transport in Magnetic Multilayers
• Magnonic Thermal Machines
• Electric control of emergent magnonic spin current and dynamic multiferroicity in magnetic insulators at finite temperatures
• Interband magnon drag in ferrimagnetic insulators
• Magnon Condensation in a Dense Nitrogen-Vacancy Spin Ensemble
• Finite-frequency spin conductance of a ferro-/ferrimagnetic-insulator|normal-metal interface
• Frequency-dependent Phonon-mediated Unidirectional Magnetoresistance in a Metal on an Insulator with Highly Nonequilibrium Magnons
• Thermal Generation of Spin Current in a Quantum Dot Coupled to Magnetic Insulators
• Mechanism for a Chemical Potential of Nonequilibrium Magnons in Parametric Parallel Pumping
• Cryogenic spin Peltier effect detected by a RuO${}_2$-AlO${}_x$ on-chip microthermometer
• Spin Hall magnetoresistance at the altermagnetic insulator/Pt interface
• Spin-accumulation induced magnetic texture in a metal-insulator bilayer
• Electrical manipulation of spin pumping signal through nonlocal thermal magnon transport
• Nonreciprocal magnons in layered antiferromagnets VPX3(X =S,Se,Te)
• Circuit-based cavity magnonics in the ultrastrong and deep-strong coupling regimes
• Unconventional magnon transport in antiferromagnet NiPS${}_3$ induced by an anisotropic spin-flop transition
• Theory of nonlinear magnetoelectric transport effects in normal-metal $-$ magnetic-insulator heterostructures
• Nonequilibrium phase transition in a driven-dissipative quantum antiferromagnet
• Anisotropic Magnon Spin Transport in Ultra-thin Spinel Ferrite Thin Films -- Evidence for Anisotropy in Exchange Stiffness
• Magnon-mediated electric current drag and nonlocal spin-Peltier effect in the ac regime
• Superfluid-like spin transport in the dynamic states of easy-axis magnets
• Influence of low-energy magnons on magnon Hanle experiments in easy-plane antiferromagnets
• Ellipticity effects on diffusive magnon spin and heat transport in easy-plane ferromagnets
• Magnetically Ordered Insulators for Advanced Spintronics
• Magnonic Spin-Transfer Torque in Ferromagnet/Antiferromagnet/Ferromagnet Trilayer
• Theory of drift-enabled control in nonlocal magnon transport
• Direct and alternating magnon spin currents across a junction interface irradiated by linearly polarized laser
• Quantification of interfacial spin-charge conversion in metal/insulator hybrid structures by generalized boundary conditions
• Surface acoustic wave driven acoustic spin splitter in d-wave altermagnetic thin films
• Theory of magnon hydrodynamics in collinear antiferromagnets
• Thickness-dependent magnon spin transport in antiferromagnetic insulators: Crossover from quasi-three-dimensional to quasi-two-dimensional regimes