Edge states in topological magnon insulators

Mook, Alexander; Henk, Jürgen; Mertig, Ingrid

doi:10.1103/physrevb.90.024412

Cited by 266 publications

(294 citation statements)

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“…The gaps between band 1 and 2 as well band 2 and 3 are bridged by two topological surface states, TSS(1) and TSS (2). The latter obey the bulk-boundary correspondence [7,8,10,22].…”

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confidence: 99%

“…At a surface-here, the (111) surface is studied exemplarilymagnon surface states connect the surface-projected Weyl points; because the associated constant-energy cuts are open they are analogs of Fermi arcs in electronic Weyl semimetals and obey the bulk-boundary correspondence just as kagome TMIs do [10]. On top of this, these arcs turn out to be easily tunable: upon rotating the magnetic field within the surface plane they follow the likewise rotated Weyl points.…”

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confidence: 99%

“…However, the present model relies on a ferromagnetic ground state and on the DM interaction; it is thus a natural extension of TMIs on kagome lattices [9,10] to three dimensions. Model and spin-wave analysis.…”

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confidence: 99%

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Tunable Magnon Weyl Points in Ferromagnetic Pyrochlores

2016

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The dispersion relations of magnons in ferromagnetic pyrochlores with Dzyaloshinskii-Moriya interaction is shown to possess Weyl points, i. e., pairs of topological nontrivial crossings of two magnon branches with opposite topological charge. As a consequence of their topological nature, their projections onto a surface are connected by magnon arcs, thereby resembling closely Fermi arcs of electronic Weyl semimetals. On top of this, the positions of the Weyl points in reciprocal space can be tuned widely by an external magnetic field: rotated within the surface plane, the Weyl points and magnon arcs are rotated as well; tilting the magnetic field out-ofplane shifts the Weyl points toward the center Γ of the surface Brillouin zone. The theory is valid for the class of ferromagnetic pyrochlores, i. e., three-dimensional extensions of topological magnon insulators on kagome lattices. In this Letter, we focus on the (111) surface, identify candidates of established ferromagnetic pyrochlores which apply to the considered spin model, and suggest experiments for the detection of the topological features.

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“…The gaps between band 1 and 2 as well band 2 and 3 are bridged by two topological surface states, TSS(1) and TSS (2). The latter obey the bulk-boundary correspondence [7,8,10,22].…”

mentioning

confidence: 99%

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confidence: 99%

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Tunable Magnon Weyl Points in Ferromagnetic Pyrochlores

2016

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“…Various kinds of bosonic Dirac materials have been proposed [11][12][13][14][15]. A general possibility of the existence of the bosonic QHE based on effective field theory has been proposed [16].…”

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confidence: 99%

Bosonic edge states in gapped honeycomb lattices

et al. 2016

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Using quantum Monte Carlo simulations of bosons in gapped honeycomb lattices, we prove the existence of bosonic edge states. For single-layer honeycomb lattices, bosonic edge states can be created, cross the gap, and merge into bulk states using an on-site potential applied to the outermost sites of the boundary. On the bilayer honeycomb lattice, bosonic edge states traversing the gap at half filling are demonstrated. The topological origin of the bosonic edge states is discussed in terms of the pseudo-Berry curvature. The results will simulate experimental studies of these exotic bosonic edge states using ultracold bosons trapped in honeycomb optical lattices. Introduction.-Many important phenomena in condensed matter physics share the same intriguing feature, namely, the presence of edge states in the gap. Well-known examples include the quantum Hall effect (QHE), topological insulators, and graphene systems [1][2][3][4]. The appearance of an edge state is the consequence of the non-trivial topological properties of the bulk band. Edge states have been created in various systems such as quantum wells and graphene [5][6][7][8]; the existence of edge states constitutes a central motivation for studying these kinds of materials. Edge states are perfectly conducting channels and play an important role in electronic transport [9]. Edge states can be engineered to create onedimensional topological superconductors, which support localized Majorana fermions [10].

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“…Effective topological band structure can be induced by the timedependent coupling, such as optical transition between different bands for an electron in external photon field. Beyond electron systems, the topological band structure leading to QAH effect has also been proposed and even realized in cold atom systems [105][106][107][108][109][110], photonic crystals [111][112][113][114] and magnonics [115][116][117].…”

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confidence: 99%

Quantum Anomalous Hall Effect

Zhang

2016

Transport Studies of the Electrical, Magnetic and Thermoelectric Properties of Topological Insulator Thin Films

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The quantum anomalous Hall effect is defined as a quantized Hall effect realized in a system without external magnetic field. Quantum anomalous Hall effect is a novel manifestation of topological structure in manyelectron systems, and may have potential applications in future electronic devices. In recent years, quantum anomalous Hall effect has been proposed theoretically and realized experimentally. In this review article, we provide a systematic overview of the theoretical and experimental developments in this field.

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Edge states in topological magnon insulators

Cited by 266 publications

References 28 publications

Tunable Magnon Weyl Points in Ferromagnetic Pyrochlores

Tunable Magnon Weyl Points in Ferromagnetic Pyrochlores

Bosonic edge states in gapped honeycomb lattices

Quantum Anomalous Hall Effect

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