Arrays of suitably patterned and arranged magnetic elements may display artificial spin-ice structures with topological defects in the magnetization, such as Dirac monopoles and Dirac strings. It is known that these defects strongly influence the quasi-static and equilibrium behavior of the spin-ice lattice. Here we study the eigenmode dynamics of such defects in a square lattice consisting of stadium-like thin film elements using micromagnetic simulations. We find that the topological defects display distinct signatures in the mode spectrum, providing a means to qualitatively and quantitatively analyze monopoles and strings which can be measured experimentally.
We report broadband spin-wave spectroscopy on kagome artificial spin ice (ASI) made of large arrays of interconnected Ni$_{80}$Fe$_{20}$ nanobars. Spectra taken in saturated and disordered states exhibit a series of resonances with characteristic magnetic field dependencies. Making use of micromagnetic simulations, we identify resonances that reflect the spin-solid-state and monopole-antimonopole pairs on Dirac strings. The latter resonances allow for the generation of highly-charged vertices in ASIs via microwave assisted switching. Our findings open further perspectives for fundamental studies on ASIs and their usage in reprogrammable magnonics.
We investigate spin dynamics of artificial spin ice (ASI) where topological defects confine magnon modes in Ni$_{81}$Fe$_{19}$ nanomagnets arranged on an interconnected kagome lattice. Brillouin light scattering microscopy performed on magnetically disordered states exhibit a series of magnon resonances which depend on topological defect configurations detected by magnetic force microscopy. Nanomagnets on a Dirac string and between a monopole-antimonopole pair show pronounced modifications in magnon frequencies both in experiments and simulations. Our work is key for the creation and annihilation of Dirac strings via microwave assisted switching and reprogrammable magnonics based on ASIs.
We report angular-dependent spin-wave spectroscopy on kagome artificial spin ice made of large arrays of interconnected Ni80Fe20 nanobars. Spectra taken in saturated and disordered states exhibit a series of resonances with characteristic in-plane angular dependencies. Micromagnetic simulations allow us to interpret characteristic resonances of a two-step magnetization reversal of the nanomagnets. The dynamic properties are consistent with topological defects that are provoked via a magnetic field applied at specific angles. Simulations that we performed on previously investigated kagome artificial spin ice consisting of isolated nanobars show characteristic discrepancies in the spin wave modes which we explain by the absence of vertices.
Systems of interacting nanomagnets known as artificial spin ices are models for exotic behavior due to their accessibility to geometries and measurement modalities that are not available in natural materials. Despite being fundamentally composed of binary moments, these systems often display collective phenomena associated with emergent higher-order frustration. We have studied the vertex-frustrated Santa Fe ice, examining its moment structure both after annealing near the ferromagnetic Curie point, and in a thermally dynamic state. We experimentally demonstrate the existence of a disordered string ground state, in which the magnetic structure can be understood through the topology of emergent strings of local excitations. We also show that the system can support a long-range-ordered ground state for certain ratios of local interactions. Both states are accessible via moment reversals only through topological surgery, i.e., the breaking of pairs of crossed strings and their reattachment in topologically inequivalent configurations. While we observe instances of topological surgery in our experimental data, such events are energetically suppressed, and we find that an apparent kinetic bottleneck associated with topological surgery precludes the system from achieving either ground state through local moment flips. Santa Fe ice thus represents an unusual instance of competition between topological complexity and ordering, suggesting analogous structures in the quantum realm.
Magnetization dynamics in an artificial square spin-ice lattice made of Ni80Fe20 with magnetic field applied in the lattice plane is investigated by broadband ferromagnetic resonance spectroscopy. The experimentally observed dispersion shows a rich spectrum of modes corresponding to different magnetization states. These magnetization states are determined by exchange and dipolar interaction between individual islands, as is confirmed by a semianalytical model. In the low field regime below 400 Oe a hysteretic behavior in the mode spectrum is found. Micromagnetic simulations reveal that the origin of the observed spectra is due to the initialization of different magnetization states of individual nanomagnets. Our results indicate that it might be possible to determine the spin-ice state by resonance experiments and are a first step towards the understanding of artificial geometrically frustrated magnetic systems in the high-frequency regime.
Sebastian Gliga
,Attila Kakay
,Riccardo Hertel
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(2012)
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"Spectral analysis of topological defects in an artificial spin-ice lattice"
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Sebastian Gliga
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