Realizing Corner States in Artificial Crystals Based on Topological Spin Textures

Li, Z. -X.; Cao, Yunshan; Wang, X. R.; Yan, Peng

doi:10.48550/arxiv.1910.03956

Cited by 3 publications

(10 citation statements)

References 66 publications

(79 reference statements)

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“…1(a). The generalized Thiele's equation [25,26,51] is adopted to describe the collective dynamics of the vortex lattice:…”

Section: Model and Methodsmentioning

confidence: 99%

“…Over the past few years, the concept of higher-order topological insulator (HOTI) [1][2][3][4][5][6][7] has attracted significant attention by the community for the peculiar symmetry-protected states emerging in device corners and hinges. HOTIs have been studied in the broad field of acoustics [8][9][10][11][12], photonics [13][14][15][16][17], mechanics [18][19][20], electric circuits [21][22][23][24], and recently, spintronics [25][26][27]. As a new member of topological insulators (TIs) [28,29], HOTIs go beyond the conventional bulk-boundary correspondence and are characterized by a few new topological invariants [3-5, 30, 31].…”

Section: Introductionmentioning

confidence: 99%

“…As a new member of topological insulators (TIs) [28,29], HOTIs go beyond the conventional bulk-boundary correspondence and are characterized by a few new topological invariants [3-5, 30, 31]. Very recently, it has been suggested that the Z N Berry phase quantized to 2π/N is a useful tool to characterize the higher-order topological phase [20,26,[32][33][34][35]. Since topologically protected corner states are robust against disorder and defects, they can act as localized oscillators.…”

Section: Introductionmentioning

confidence: 99%

“…We recently generalized the approach by including both a second-order inertial term and a third-order non-Newtonian gyroscopic term to interpret the emerging multiband nature of chiral edge states observed in honeycomb lattice of magnetic skyrmions [51]. More recently, we have predicted the second-order TIs in breathing lattice of magnetic vortices [25,26] and have shown that the generalized chiral symmetry protects the topological corner states. However, the high-frequency-band corner modes have not been well addressed.…”

Section: Introductionmentioning

confidence: 99%

“…A prominent demonstration of the practical application of corner states is still lacking. In addition, the second-order topological phase in quadripartite lattice is yet to be reported, although the issue has received thorough investigations in both tripartite [25] and sexpartite [26] vortex lattices.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Second-order topological insulator in breathing square lattice of magnetic vortices

Li,

Cao,

Wang

et al. 2020

Preprint

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We study the topological phase in dipolar-coupled two-dimensional breathing square lattice of magnetic vortices. By evaluating the quantized Chern number and Z 4 Berry phase, we obtain the phase diagram and identify that the second-order topological corner states appear only when the ratio of alternating bond lengths goes beyond a critical value. Interestingly, we uncover three corner states at different frequencies ranging from sub GHz to tens of GHz by solving the generalized Thiele's equation, which has no counterpart in condensed matter system. We show that the emerging corner states are topologically protected by a generalized chiral symmetry of the quadripartite lattice, leading to particular robustness against disorder and defects. Full micromagnetic simulations confirm theoretical predictions with a great agreement. A vortex-based imaging device is designed as a demonstration of the real-world application of the second-order magnetic topological insulator. Our findings provide a route for realizing symmetry-protected multi-band corner states that are promising to achieve spintronic higher-order topological devices.

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“…1(a). The generalized Thiele's equation [25,26,51] is adopted to describe the collective dynamics of the vortex lattice:…”

Section: Model and Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Second-order topological insulator in breathing square lattice of magnetic vortices

Li,

Cao,

Wang

et al. 2020

Preprint

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Corner excitations in the 2D triangle-shaped topological insulator with chiral superconductivity on the triangular lattice

Fedoseev

2020

J. Phys.: Condens. Matter

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The 2D triangle-shaped C 3 -symmetric topological insulator with the chiral superconducting coupling on the triangular lattice is investigated. While such a system cannot provide the topologically protected corner excitations, we report the presence of the nontopological corner excitations with energy value to lie in the first-order edge spectrum gap. Though these excitations are not topologically protected, they appear for a rather wide range of the parameters values and are robust against the boundary defects and weak disorder. We reveal the presence of the Majorana corner states, which appear along the line in the parameter space.

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Twisted magnon as a magnetic tweezer

Jiang,

Yuan,

et al. 2019

Preprint

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Wave fields with spiral phase dislocations carrying orbital angular momentum (OAM) have been realized in many branches of physics, such as for photons, sound waves, electron beams, and neutrons. However, the OAM states of magnons (spin waves)−the building block of modern magnetism−and particularly their implications have yet to be addressed. Here, we theoretically investigate the twisted spin-wave generation and propagation in magnetic nanocylinders. The OAM nature of magnons is uncovered by showing that the spin-wave eigenmode is also the eigenstate of the OAM operator in the confined geometry. Inspired by optical tweezers, we predict an exotic "magnetic tweezer" effect by showing skyrmion gyrations under twisted magnons in exchange coupled nanocylinder|nanodisk heterostructure, as a practical demonstration of magnonic OAM to manipulate topological spin defects. Our study paves the way for the emerging magnetic manipulations by harnessing the OAM degree of freedom of magnons.

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Realizing Corner States in Artificial Crystals Based on Topological Spin Textures

Cited by 3 publications

References 66 publications

Second-order topological insulator in breathing square lattice of magnetic vortices

Second-order topological insulator in breathing square lattice of magnetic vortices

Corner excitations in the 2D triangle-shaped topological insulator with chiral superconductivity on the triangular lattice

Twisted magnon as a magnetic tweezer

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