Snowflake phononic topological insulator at the nanoscale

Brendel, Christian; Peano, Vittorio; Painter, Oskar; Marquardt, Florian

doi:10.1103/physrevb.97.020102

Cited by 125 publications

(93 citation statements)

References 42 publications

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“…Instead, helical edge states can exist where states from different valleys experience opposite magnetic fields and propagate in opposite directions. It has been noted by several authors that such helical edge states do not always exist [11][12][13][14][15] depending on the edge shape and the type of strain. However, a general condition specifying when propagating edge states exist is still lacking.…”

Section: Introductionmentioning

confidence: 99%

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Propagating edge states in strained honeycomb lattices

et al. 2017

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We investigate the helically-propagating edge states associated with pseudo-Landau levels in strained honeycomb lattices. We exploit chiral symmetry to derive a general criterion for the existence of these propagating edge states in the presence of only nearest-neighbour hoppings and we verify our criterion using numerical simulations of both uni-axially and trigonally strained honeycomb lattices. We show that the propagation of the helical edge state can be controlled by engineering the shape of the edges. Sensitivity to chiral-symmetry-breaking next-nearest-neighbour hoppings is assessed. Our result opens up an avenue toward the precise control of edge modes through manipulation of the edge shape.

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Section: Introductionmentioning

confidence: 99%

“…Our finding suggests a powerful and simple avenue to build valley filters and control currents in solid-state graphene using strain and the engineering of the edge termination. This approach can also be implemented in artificial graphene for various platforms, such as photonic, optomechanical or phononic systems [14,[16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Propagating edge states in strained honeycomb lattices

et al. 2017

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“…This gives rise to (c) a stationary field where the optical fields in adjacent sublattices have a phase difference of 2π/3. [25][26][27] and experiments 28,29 for onchip topological phononics, our setup is truly nonreciprocal, and the topological protection extends to any arbitrary fabrication imperfection. Our approach differs from earlier proposals for on-chip mechanical Chern insulators 19,21 , in that it does not require a direct mechanical coupling between the microtoroids and the driving field need not be applied to the bulk of the array.…”

Section: Introductionmentioning

confidence: 99%

Nonreciprocal topological phononics in optomechanical arrays

2020

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We propose a platform for robust and tunable non-reciprocal phonon transport based on arrays of optomechanical microtoroids. In our approach, time-reversal symmetry is broken by the interplay of photonic spin-orbit coupling, engineered using a state-of-the-art geometrical approach, and the optomechanical interaction. We demonstrate the topologically protected nature of this system by investigating its robustness to imperfections. This type of system could find application in phonon-based information storage and signal processing devices.

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“…Inspired by the discovery of topological phases and edge states in electronic materials [1,2], the possibility of building related devices for the control of the propagation of light [3][4][5][6][7][8][9] and sound [10][11][12][13][14][15][16][17][18] is being extensively studied. The related device building blocks may harness three major types of topological phases analogous to those in condensed matter systems: quantum Hall effect (QHE) [19,20], quantum spin Hall effect (QSHE) [21][22][23], and quantum valley Hall effect (QVHE) [24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Quantum-spin-Hall topological insulator in a spring-mass system

2018

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It is proposed that a lattice, with constituent masses and spring constants, may be considered as a model system for topological matter. For instance, a relative variation of the inter-and intra-unit cell spring constants can be used to create, tune, and invert band structure. Such an aspect is obtained while preserving time reversal symmetry, and consequently emulates the quantum spin Hall effect. The modal displacement fields of the mass-spring lattice were superposed so to yield pseudospin fields, with positive or negative group velocity. Considering that harmonic oscillators are the basis of classical and quantum excitations over a range of physical systems, the spring-mass system yields further insight into the constituents and possible utility of topological material.

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Snowflake phononic topological insulator at the nanoscale

Abstract: We show how the snowflake phononic crystal structure, which recently has been realized experimentally, can be turned into a topological ins ulator for mechanical waves. This idea, based purely on simple geometrical modifications, could be readily implemented on the nanoscale.

Cited by 125 publications

References 42 publications

Propagating edge states in strained honeycomb lattices

Propagating edge states in strained honeycomb lattices

Nonreciprocal topological phononics in optomechanical arrays

Quantum-spin-Hall topological insulator in a spring-mass system

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