Nonlinear magnetization dynamics as a route to nonreciprocal phases, spin superfluidity, and analogue gravity

• URL: http://arxiv.org/abs/2510.21963v1
• Date: Fri, 24 Oct 2025 18:42:23 GMT
• Title: Nonlinear magnetization dynamics as a route to nonreciprocal phases, spin superfluidity, and analogue gravity
• Authors: Vincent Flynn, Benedetta Flebus,
• Abstract summary: We show that balancing a dc drive against Gilbert damping stabilizes a chiral spin-superfluid limit cycle that spontaneously breaks spacetime-translation symmetry.<n>Long-wavelength magnons of opposite chirality acquire asymmetric dispersions and propagate direction-selectively, realizing a spin-supergravity diode.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The identification of platforms with independently tunable nonlinearity and non-Hermiticity promises a quantitative route to far-from-equilibrium universality across many-body systems. Here we show that a conventional ferromagnetic multilayer realizes this paradigm: balancing a dc drive against Gilbert damping stabilizes a chiral spin-superfluid limit cycle that spontaneously breaks spacetime-translation symmetry. The resulting superflow is intrinsically nonreciprocal: long-wavelength magnons of opposite chirality acquire asymmetric dispersions and propagate direction-selectively, realizing a spin-superfluid diode. This asymmetry is flow-borne - it reflects broken Galilean invariance and requires neither structural asymmetry nor finely tuned gain-loss balance. Linearized dynamics in the comoving superfluid frame are intrinsically pseudo-Hermitian and, in the long-wavelength sector, can be mapped to a (1+1)D wave equation on curved spacetime. Spatial modulation of the drive enables the generation of sonic horizons that parametrically squeeze magnons and produce Hawking-like particle-hole emission. Our results establish a tabletop route from nonlinear dissipative-driven magnetization dynamics to nonreciprocal transport, nonequilibrium phase transitions, and analogue-gravity kinematics.

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