Chiral Hinge Magnons in Second-Order Topological Magnon Insulators

Mook, Alexander; Díaz, Sebastián A.; Klinovaja, Jelena; Loss, Daniel

doi:10.48550/arxiv.2010.04142

Cited by 5 publications

(5 citation statements)

References 69 publications

(81 reference statements)

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“…These techniques will hopefully become more standard among the repertoire of experimentalists for the light that they shed on Berry curvature. Other new and promising directions include the topology of magnetic excitons and bound states (68,142,143), itinerant magnetism, magnon-phonon coupling (144,145), higher order topology (146,147), laser control of magnon topology (148,149) and other out-of-equilibrium phenomena (150).…”

Section: Discussionmentioning

confidence: 99%

Topological Magnons: A Review

McClarty¹

2021

Preprint

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At sufficiently low temperatures magnetic materials often enter a correlated phase hosting collective, coherent magnetic excitations such as magnons or triplons. Drawing on the enormous progress on topological materials of the last few years, recent research has led to new insights into the geometry and topology of these magnetic excitations. Berry phases associated to magnetic dynamics can lead to observable consequences in heat and spin transport while analogues of topological insulators and semimetals can arise within magnon band structures from natural magnetic couplings. Magnetic excitations offer a platform to explore the interplay of magnetic symmetries and topology, to drive topological transitions using magnetic fields. examine the effects of interactions on topological bands and to generate topologically protected spin currents at interfaces. In this review, we survey progress on all these topics, highlighting aspects of topological matter that are unique to magnon systems and the avenues yet to be fully investigated.

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Section: Discussionmentioning

confidence: 99%

Topological Magnons: A Review

McClarty¹

2021

Preprint

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“…In the non-collinear phase, it is shown that the simple analogy with electronic states does not apply. We find that the anomalous non-Hermitian terms in the model gap out the two-dimensional surface mode and generate one-dimensional hinge magnon mode [31]. Finally, we propose the symplectic Wilson loop as a novel bulk topological invariant that correctly captures the hinge magnon modes in the higher-order topological magnon phases [28].…”

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confidence: 84%

Hinge Magnons from Non-collinear Magnetic Order in Honeycomb Antiferromagnet

Park,

Lee,

Kim

2021

Preprint

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We propose that non-collinear magnetic order in quantum magnets can harbor a novel higher-order topological magnon phase with non-Hermitian topology and hinge magnon modes. We consider a three-dimensional system of interacting local moments on stacked-layers of honeycomb lattice. It initially favors a collinear magnetic order along an in-plane direction, which turns into a non-collinear order upon applying an external magnetic field perpendicular to the easy axis. We exploit the non-Hermitian nature of the magnon Hamiltonian to show that this field-induced transition corresponds to the transformation from a topological magnon insulator to a higher-order topological magnon state with a one-dimensional hinge mode. As a concrete example, we discuss the recently-discovered monoclinic phase of the thin chromium trihalides, which we propose as the first promising material candidate of the higher-order topological magnon phase.

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“…Magnons, the quanta of spin waves supported by magnetic materials, can also become topological but in reciprocal space [5][6][7][8]. Dictated by the bulk-boundary correspondence, bulk topological magnons can result in robust, unidirectional magnonic currents propagating along the sample edges which have been proposed as information conduits for magnonics [9,10]. So far, the study of topological magnetic textures in real space and topological magnons in reciprocal space have largely developed as independent fields.…”

Section: Introductionmentioning

confidence: 99%

Laser-controlled real- and reciprocal-space topology in multiferroic insulators

Hirosawa,

Klinovaja,

Loss

et al. 2021

Preprint

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Magnetic materials in which it is possible to control the topology of their magnetic order in real space or the topology of their magnetic excitations in reciprocal space are highly sought-after as platforms for alternative data storage and computing architectures. Here we show that multiferroic insulators, owing to their magneto-electric coupling, offer a natural and advantageous way to address these two different topologies using laser fields. We demonstrate that via a delicate balance between the energy injection from a high-frequency laser and dissipation, single skyrmions-archetypical topological magnetic textures-can be set into motion with a velocity and propagation direction that can be tuned by the laser field amplitude and polarization, respectively. Moreover, we uncover an ultrafast Floquet magnonic topological phase transition in a laser-driven skyrmion crystal and we propose a new diagnostic tool to reveal it using the magnonic thermal Hall conductivity.

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Chiral Hinge Magnons in Second-Order Topological Magnon Insulators

Cited by 5 publications

References 69 publications

Topological Magnons: A Review

Topological Magnons: A Review

Hinge Magnons from Non-collinear Magnetic Order in Honeycomb Antiferromagnet

Laser-controlled real- and reciprocal-space topology in multiferroic insulators

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