Abstract:Chiral spin pumping is the generation of a unidirectional spin current in half of ferromagnetic films or conductors by dynamic dipolar stray fields from close-by nanomagnets. We formulate a general theory of long-range chiral interactions between magnets mediated by unidirectional traveling waves, e.g., spin waves in a magnetic film or microwaves in a waveguide. The traveling waves emitted by an excited magnet can be perfectly trapped by a second, initially passive magnet by a dynamical interference effect. Wh… Show more
“…This can be observed by a wire with a high magnetic quality 2α G ω K |g k | 2 /c r , leading to ξ = e iπ , i.e., without amplitude suppression but a pure phase shift. When 2α G ω K → |g k | 2 /c r , the transmission tends to be zero and the energy accumulates in the magnet [46]. Finally, when 2α G ω K |g k | 2 /c r , ξ → 1 and the modulation vanishes and the phonon diode effect is very small.…”
Section: A Phonon Scattering Matrixmentioning
confidence: 99%
“…is interpreted by a non-Hermitian Hamiltonian that describes the dissipatively coupled magnons [27,32,36,46]. Note that the coupling constant (ω) still depends on the frequency.…”
Section: A Phonon Scattering Matrixmentioning
confidence: 99%
“…The phonon transmission can thus demonstrate the existence and information of the collective mode of many magnetic wires. Many properties of the collective mode were addressed in our previous works [36,46]. We numerically diagonalize the non-Hermitian Hamiltonian and calculate the phonon transmission through a magnetic array with distance δ between the neighboring wires.…”
Section: B Phonon Resistivity By Collective Magnon Modesmentioning
confidence: 99%
“…are the demagnetization constants with the nanowire width w and thickness d [29,46]. Here the demagnetization factors are treated to be uniform across the wire by disregarding their spatial variation at the edges of nanowires.…”
Section: Appendix: Hamiltonianĥ E Andĥ Mmentioning
confidence: 99%
“…The traveling waves mediate a long-range nonreciprocal interaction between remote magnets and the spin accumulates at the edge of magnets by the non-Hermitian skin effect [43][44][45]. Interference effect in nonreciprocal systems can directionally amplify or trap the traveling waves [46,47].…”
Motivated by recent experiments, we investigate the nonreciprocal magnetoelastic interaction between the surface acoustic phonons of dielectric nonmagnetic substrates and magnons of proximity nanomagnets. The magnetization dynamics exerts rotating forces at the edges of the nanomagnet that causes the nonreciprocal interaction with surface phonons due to its rotation-momentum locking. This coupling induces the nonreciprocity of the surface phonon transmission and a nearly complete phonon diode effect by several (tens of) magnetic nanowires of high (ordinary) magnetic quality. Phase-sensitive microwave transmission is also nonreciprocal that can pick up clear signals of the coherent phonons excited by magnetization dynamics. Nonreciprocal pumping of phonons by precessing magnetization is predicted using Landauer-Büttiker formalism.
“…This can be observed by a wire with a high magnetic quality 2α G ω K |g k | 2 /c r , leading to ξ = e iπ , i.e., without amplitude suppression but a pure phase shift. When 2α G ω K → |g k | 2 /c r , the transmission tends to be zero and the energy accumulates in the magnet [46]. Finally, when 2α G ω K |g k | 2 /c r , ξ → 1 and the modulation vanishes and the phonon diode effect is very small.…”
Section: A Phonon Scattering Matrixmentioning
confidence: 99%
“…is interpreted by a non-Hermitian Hamiltonian that describes the dissipatively coupled magnons [27,32,36,46]. Note that the coupling constant (ω) still depends on the frequency.…”
Section: A Phonon Scattering Matrixmentioning
confidence: 99%
“…The phonon transmission can thus demonstrate the existence and information of the collective mode of many magnetic wires. Many properties of the collective mode were addressed in our previous works [36,46]. We numerically diagonalize the non-Hermitian Hamiltonian and calculate the phonon transmission through a magnetic array with distance δ between the neighboring wires.…”
Section: B Phonon Resistivity By Collective Magnon Modesmentioning
confidence: 99%
“…are the demagnetization constants with the nanowire width w and thickness d [29,46]. Here the demagnetization factors are treated to be uniform across the wire by disregarding their spatial variation at the edges of nanowires.…”
Section: Appendix: Hamiltonianĥ E Andĥ Mmentioning
confidence: 99%
“…The traveling waves mediate a long-range nonreciprocal interaction between remote magnets and the spin accumulates at the edge of magnets by the non-Hermitian skin effect [43][44][45]. Interference effect in nonreciprocal systems can directionally amplify or trap the traveling waves [46,47].…”
Motivated by recent experiments, we investigate the nonreciprocal magnetoelastic interaction between the surface acoustic phonons of dielectric nonmagnetic substrates and magnons of proximity nanomagnets. The magnetization dynamics exerts rotating forces at the edges of the nanomagnet that causes the nonreciprocal interaction with surface phonons due to its rotation-momentum locking. This coupling induces the nonreciprocity of the surface phonon transmission and a nearly complete phonon diode effect by several (tens of) magnetic nanowires of high (ordinary) magnetic quality. Phase-sensitive microwave transmission is also nonreciprocal that can pick up clear signals of the coherent phonons excited by magnetization dynamics. Nonreciprocal pumping of phonons by precessing magnetization is predicted using Landauer-Büttiker formalism.
Non-Hermitian physics has recently attracted much attention in optics and photonics. Less explored is non-Hermitian magnonics that provides opportunities to take advantage of the inevitable dissipation of magnons or spin waves in magnetic systems. Here we demonstrate non-Hermitian coherent coupling of two distant nanomagnets by fast spin waves with sub-50 nm wavelengths. Magnons in two nanomagnets are unidirectionally phase-locked with phase shifts controlled by magnon spin torque and spin-wave propagation. Our results are attractive for analog neuromorphic computing that requires unidirectional information transmission.
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