Topological Magnonics: A Paradigm for Spin-Wave Manipulation and Device Design

Wang, Xiang Rong; Zhang, H.W.; Wang, Xiangrong

doi:10.1103/physrevapplied.9.024029

Cited by 147 publications

(77 citation statements)

References 43 publications

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“…The DM interactions are known to act as effective vector potential leading to anomalous magnon Hall effect that facilitates topological edge transports [11,12,29]. In contrast to electron spin current where dissipation can be large due to Ohmic heating, noninteracting topological magnons, which are quantized spin-1 excitations from an ordered magnetic ground state, are uncharged and can in principle prop-arXiv:1807.11452v3 [cond-mat.str-el] 30 Oct 2018 agate for a long time without dissipation [30][31][32][33]. Since the DM interaction will cancel out upon space inversion, a finite DM term may appear only between the nextnearest neighbors on the honeycomb lattices [see Fig.…”

Section: Introductionmentioning

confidence: 99%

Topological Spin Excitations in Honeycomb Ferromagnet CrI3

et al. 2018

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In two dimensional honeycomb ferromagnets, bosonic magnon quasiparticles (spin waves) may either behave as massless Dirac fermions or form topologically protected edge states. The key ingredient defining their nature is the next-nearest neighbor Dzyaloshinskii-Moriya (DM) interaction that breaks the inversion symmetry of the lattice and discriminates chirality of the associated spinwave excitations. Using inelastic neutron scattering, we find that spin waves of the insulating honeycomb ferromagnet CrI3 (TC = 61 K) have two distinctive bands of ferromagnetic excitations separated by a ∼4 meV gap at the Dirac points. These results can only be understood by considering a Heisenberg Hamiltonian with DM interaction, thus providing experimental evidence that spin waves in CrI3 can have robust topological properties potentially useful for dissipationless spintronic applications.

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Section: Introductionmentioning

confidence: 99%

Topological Spin Excitations in Honeycomb Ferromagnet CrI3

et al. 2018

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“…Their existences are guaranteed by the bulk-boundary correspondence rooted in the Stokes-Cartan theorem. Fermions or bosons and classical or quantum particles, such as electrons [4,5], phonons [7][8][9][10][11], photons [12][13][14], and magnons [15][16][17][18], can have topological states. According to the bulk-boundary correspondence, a three-dimensional (3D) insulator with band inversion [5] has topologically nontrivial two-dimensional surface states.…”

Section: Introductionmentioning

confidence: 99%

Disorder-induced quantum phase transitions in three-dimensional second-order topological insulators

Wang

2020

Phys. Rev. Research

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Disorder effects on three-dimensional second-order topological insulators (3DSOTIs) are investigated numerically and analytically. The study is based on a tight-binding Hamiltonian for noninteracting electrons on a cubic lattice with a reflection symmetry that supports a 3DSOTI in the absence of disorder. Interestingly, unlike the disorder effects on a topological trivial system that can only be either a diffusive metal (DM) or an Anderson insulator (AI), disorders can sequentially induce four phases of 3DSOTIs, three-dimensional first-order topological insulators (3DFOTIs), DMs, and AIs. At a weak disorder when the on-site random potential of strength W is below a low critical value W c1 at which the gap of surface states closes while the bulk sates are still gapped, the system is a disordered 3DSOTI characterized by a constant density of states and a quantized integer conductance of e 2 /h through its chiral hinge states. The gap of the bulk states closes at a higher critical disorder W c2 , and the system is a disordered 3DFOTI in a lower intermediate disorder between W c1 and W c2 in which electron conduction is through the topological surface states. The system becomes a DM in a higher intermediate disorder between W c2 and W c3 above which the states at the Fermi level are localized. It undergoes a normal three-dimensional metal-to-insulator transition at W c3 and becomes the conventional AI for W > W c3. The self-consistent Born approximation allows one to see how the density of bulk states and the Dirac mass are modified by the on-site disorders.

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“…Materials with these properties could potentially be exploited in antiferromagnetic spintronics, 20 and topological magnonic devices. 21 As a result there have been many intriguing proposals to use magnetic excitations as a platform for realizing analogs of other topological systems. Recent examples include analogs of the Haldane-Kane-Mele model, 22 Dirac semimetals, 23,24 Weyl semimetals, 25,26 triple points, 27 and chiral topological insulators.…”

Section: Introductionmentioning

confidence: 99%

Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions

Laurell

Fiete

2018

Phys. Rev. B

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We theoretically study magnetic and topological properties of antiferromagnetic kagome spin systems in the presence of both in-and out-of-plane Dzyaloshinskii-Moriya interactions. In materials such as the iron jarosites, the in-plane interactions stabilize a canted noncollinear "umbrella" magnetic configuration with finite scalar spin chirality. We derive expressions for the canting angle, and use the resulting order as a starting point for a spinwave analysis. We find topological magnon bands, characterized by non-zero Chern numbers. We calculate the magnon thermal Hall conductivity, and propose the iron jarosites as a promising candidate system for observing the magnon thermal Hall effect in a noncollinear spin configuration. We also show that the thermal conductivity can be tuned by varying an applied magnetic field, or the in-plane Dzyaloshinskii-Moriya strength. In contrast with previous studies of topological magnon bands, the effect is found to be large even in the limit of small canting. PACS numbers: 75.25.-j,75.30.Ds,75.47.-m arXiv:1804.09783v2 [cond-mat.str-el]

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Topological Magnonics: A Paradigm for Spin-Wave Manipulation and Device Design

Cited by 147 publications

References 43 publications

Topological Spin Excitations in Honeycomb Ferromagnet CrI3

Topological Spin Excitations in Honeycomb Ferromagnet CrI3

Disorder-induced quantum phase transitions in three-dimensional second-order topological insulators

Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions

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