Hydrodynamics of three-dimensional skyrmions in frustrated magnets

Zarzuela, Ricardo; Ochoa, Héctor; Tserkovnyak, Yaroslav

doi:10.1103/physrevb.100.054426

Cited by 14 publications

(11 citation statements)

References 62 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We note in passing that this expression for the dissipative component of the magnetic torque has been suggested based on symmetry grounds in Ref. 19. Similarly, we have also found a second contribution to the spin-transfer torque of the form…”

Section: Spin-transfer Torquessupporting

confidence: 80%

“…Thermodynamic fluxes and forces in the spin and charge sectors are related by the following Onsager matrix 19 :…”

Section: Spin-transfer Torquesmentioning

confidence: 99%

“…For instance, striking transport phenomena has been recently observed in some families of intercalated transition-metal dichalcogenides (epitomized by the Fe 1/3 NbS 2 compound) [15][16][17] , which are contributing to the current revival of interest in glassy antiferromagnets. Also of interest are recent proposals for probing the superfluid spin transport and thermal diffusion of Shankar skyrmions in magnetically frustrated insulators (in the exchange-dominated limit) based on conventional magne-totransport measurements 18,19 . Even though enormous theoretical effort has been made to understand transport phenomena in the insulating scenario, no satisfactory progress has been achieved so far in the conducting counterpart.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Transport theory and spin-transfer physics for frustrated magnets

Zarzuela¹,

Sinova²

2021

Preprint

Self Cite

View full text Add to dashboard Cite

We study the electron dynamics in magnetic conductors with frustrated interactions dominated by isotropic exchange. We present a transport theory for itinerant carriers built upon the (singleband) doped Hubbard model and the slave-boson formalism, which incorporates the spin-exchange with the magnetically frustrated background into the representation of electron operators in a clear and controllable way. We also formulate hydrodynamic equations for the itinerant charge and spin degrees of freedom, whose currents contain new contributions that depend on the spatiotemporal variations of the order parameter of the frustrated magnet, which are described by Yang-Mills fields. Furthermore, we elucidate the transfer of angular momentum from the itinerant charge fluid to the magnet (i.e., the spin-transfer torque) via reciprocity arguments. A detailed microscopic derivation of our effective theory is also provided for one of the simplest models of frustrated magnetism, namely the Heisenberg antiferromagnet on a triangular lattice. Our findings point towards the possibility of previously unanticipated Hall physics in these frustrated platforms.

show abstract

Section: Spin-transfer Torquessupporting

confidence: 80%

“…Thermodynamic fluxes and forces in the spin and charge sectors are related by the following Onsager matrix 19 :…”

Section: Spin-transfer Torquesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Transport theory and spin-transfer physics for frustrated magnets

Zarzuela¹,

Sinova²

2021

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…We remark that this is the generic property of n-dimensional nonlocal topological defects, which would establish (n − 1)-dimensional nonlinear textures when they flow through a medium, dictated by the generalized Stokes' theorem. Other types of topologically conserved local defects, such as skyrmions in two-dimensional magnetic films [37] and three-dimensional skyrmionic textures in frustrated magnets [38], can also be quite valuable potentially for energy-storage purpose. All these possibilities provide opportunities to explore energy storage concepts based on spin degrees of freedom and deserve further investigation.…”

mentioning

confidence: 99%

Energy storage in magnetic textures driven by vorticity flow

et al. 2020

Self Cite

View full text Add to dashboard Cite

An experimentally feasible energy-storage concept is formulated based on vorticity (hydro)dynamics within an easy-plane insulating magnet. The free energy, associated with the magnetic winding texture, is built up in a circular easy-plane magnetic structure by injecting a vorticity flow in the radial direction. The latter is accomplished by electrically induced spin-transfer torque, which pumps energy into the magnetic system in proportion to the vortex flux. The resultant magnetic metastable state with a finite winding number can be maintained for a long time because the process of its relaxation via phase slips is exponentially suppressed when the temperature is well below the Curie temperature. We propose to characterize the vorticity-current interaction underlying the energy-loading mechanism through its contribution to the effective electric inductance in the rf response. Our proposal may open an avenue for naturally powering spintronic circuits and nontraditional magnet-based neuromorphic networks.

show abstract

“…1, we achieve this by applying an electric current density J = J ŷ in the left metal contact, while structurally breaking the mirror-reflection symmetry along the z axis. In this scenario, the symmetry considerations [20,[62][63][64] suggest that the contact can exert a long-wavelength torque (per unit area in the yz plane) on the magnetic texture, of the form:…”

mentioning

confidence: 99%

Topological transport of deconfined hedgehogs in magnets

Zou,

Zhang,

Tserkovnyak

2020

Preprint

Self Cite

View full text Add to dashboard Cite

We theoretically investigate dynamics of magnetic hedgehogs, which are three-dimensional topological spin textures that exist in common magnets, focusing on their transport properties and connections to spintronics. We show that fictitious magnetic monopoles carried by hedgehog textures obey a topological conservation law, based on which a hydrodynamic theory is developed. In the high-temperature (paramagnet) regime, the topological stability of the hedgehog flows results in an algebraically decaying drag signal in nonlocal transport measurements. The bulk-edge correspondence between hedgehog number and skyrmion number, the fictitious electric charges arising from magnetic dynamics, and the analogy between the low-temperature bound states of hedgehogs and the quark confinement in quantum chromodynamics are also discussed. Our study points to a practical potential in utilizing hedgehog flows for long-range neutral signal propagation or manipulation of skyrmion textures in three-dimensional magnetic materials.

show abstract

Hydrodynamics of three-dimensional skyrmions in frustrated magnets

Cited by 14 publications

References 62 publications

Transport theory and spin-transfer physics for frustrated magnets

Transport theory and spin-transfer physics for frustrated magnets

Energy storage in magnetic textures driven by vorticity flow

Topological transport of deconfined hedgehogs in magnets

Contact Info

Product

Resources

About