# Breaking of Galilean Invariance in the Hydrodynamic Formulation of Ferromagnetic Thin Films.

@article{Iacocca2017BreakingOG, title={Breaking of Galilean Invariance in the Hydrodynamic Formulation of Ferromagnetic Thin Films.}, author={Ezio Iacocca and Thomas J. Silva and Mark A. Hoefer}, journal={Physical review letters}, year={2017}, volume={118 1}, pages={ 017203 } }

Microwave magnetodynamics in ferromagnets are often studied in the small-amplitude or weakly nonlinear regime corresponding to modulations of a well-defined magnetic state. However, strongly nonlinear regimes, where the aforementioned approximations are not applicable, have become experimentally accessible. By reinterpreting the governing Landau-Lifshitz equation of motion, we derive an exact set of equations of dispersive hydrodynamic form that are amenable to analytical study even when full…

## 24 Citations

Spin-Injection-Generated Shock Waves and Solitons in a Ferromagnetic Thin Film

- PhysicsIEEE Transactions on Magnetics
- 2022

Unsteady nonlinear magnetization dynamics are studied in an easy-plane ferromagnetic channel subject to spin injection at one edge. The Landau–Lifshitz equation is known to support steady-state…

Symmetry-broken dissipative exchange flows in thin-film ferromagnets with in-plane anisotropy

- Physics
- 2017

Planar ferromagnetic channels have been shown to theoretically support a long-range ordered and coherently precessing state where the balance between local spin injection at one edge and damping…

Hydrodynamic description of long-distance spin transport through noncollinear magnetization states: Role of dispersion, nonlinearity, and damping

- PhysicsPhysical Review B
- 2019

Nonlocal compensation of magnetic damping by spin injection has been theoretically shown to establish dynamic, noncollinear magnetization states that carry spin currents over micrometer distances.…

Magnonic Band Structure Established by Chiral Spin-Density Waves in Thin-Film Ferromagnets

- PhysicsIEEE Magnetics Letters
- 2019

Recent theoretical studies have demonstrated the possibility to excite and sustain noncollinear magnetization states in ferromagnetic nanowires. The resulting state is referred to as a spin-density…

Controllable vortex shedding from dissipative exchange flows in ferromagnetic channels

- PhysicsPhysical Review B
- 2020

Ferromagnetic channels subject to spin injection at one extremum sustain long-range coherent textures that carry spin currents known as dissipative exchange flows (DEFs). In the weak injection…

Heisenberg ferromagnetism as an evolution of a spherical indicatrix: Localized solutions and elliptic dispersionless reduction

- Physics
- 2018

A geometrical formulation of Heisenberg ferromagnetism as an evolution of a curve on the unit sphere in terms of intrinsic variables is provided and investigated. Given a vortex filament moving in an…

Breathers and rogue waves in a ferromagnetic thin film with the Dzyaloshinskii-Moriya interaction

- PhysicsThe European Physical Journal Plus
- 2018

Abstract.We report a theoretical research on nonlinear localized excitations in a ferromagnetic thin film with an interfacial Dzyaloshinskii-Moriya interaction. Employing the Generalized Darboux…

Evolution of initial discontinuities in the Riemann problem for the Kaup-Boussinesq equation with positive dispersion.

- Physics, MathematicsChaos
- 2017

This work considers the space-time evolution of initial discontinuities of depth and flow velocity for an integrable version of the shallow water Boussinesq system introduced by Kaup and describes its periodic solutions and the corresponding Whitham modulation equations.

From chaotic spin dynamics to noncollinear spin textures in YIG nanofilms by spin-current injection

- Physics
- 2020

In this article I report about a numerical investigation of nonlinear spin dynamics in a magnetic thin-film, made of Yttrium-Iron-Garnet (YIG). This film is exposed to a small in-plane oriented…

Transport properties of spin superfluids: Comparing easy-plane ferromagnets and antiferromagnets

- Physics
- 2020

We present a study on spin-superfluid transport based on an atomistic, classical spin model. Easy-plane ferro- as well as antiferromagnets are considered, which allows for a direct comparison of…

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