Topological Phononics: From Fundamental Models to Real Materials

Liu, Yizhou; Chen, Xiaobin; Xu, Yong

doi:10.1002/adfm.201904784

Cited by 188 publications

(109 citation statements)

References 89 publications

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“…Topology is becoming a universal notion throughout physics. Starting from condensed matter physics 4 , the concept of topology has been extended to various systems, including photonics, phononics 5 , mechanics 6 , and cold atomic gases 7 . In particular, the implementation of topology in photonics has been motivated by three reasons.…”

Section: Introductionmentioning

confidence: 99%

Recent advances in 2D, 3D and higher-order topological photonics

2020

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Over the past decade, topology has emerged as a major branch in broad areas of physics, from atomic lattices to condensed matter. In particular, topology has received significant attention in photonics because light waves can serve as a platform to investigate nontrivial bulk and edge physics with the aid of carefully engineered photonic crystals and metamaterials. Simultaneously, photonics provides enriched physics that arises from spin-1 vectorial electromagnetic fields. Here, we review recent progress in the growing field of topological photonics in three parts. The first part is dedicated to the basics of topological band theory and introduces various two-dimensional topological phases. The second part reviews three-dimensional topological phases and numerous approaches to achieve them in photonics. Last, we present recently emerging fields in topological photonics that have not yet been reviewed. This part includes topological degeneracies in nonzero dimensions, unidirectional Maxwellian spin waves, higher-order photonic topological phases, and stacking of photonic crystals to attain layer pseudospin. In addition to the various approaches for realizing photonic topological phases, we also discuss the interaction between light and topological matter and the efforts towards practical applications of topological photonics.

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Section: Introductionmentioning

confidence: 99%

Recent advances in 2D, 3D and higher-order topological photonics

2020

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“…Effective magnetic fields and complex-valued hopping amplitudes have been implemented on ultracold atom-based platforms [3,[7][8][9][10], by using laser-assisted tunneling in an optical superlattice [11], high-frequency driving of a lattice [12][13][14], and implementing synthetic dimensions [15][16][17]. Alternative platforms have also emerged such as superconducting qubits where complexvalued hopping amplitudes were demonstrated [18], and photonic [19] or phononic [20] systems operating so far in the noninteracting regime. Here, we present the experimental realization of Peierls phases using the intrinsic spin-orbit coupling present in dipolar exchange interactions between Rydberg atoms.…”

Section: Introductionmentioning

confidence: 99%

Realization of a Density-Dependent Peierls Phase in a Synthetic, Spin-Orbit Coupled Rydberg System

et al. 2020

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We experimentally realize a Peierls phase in the hopping amplitude of excitations carried by Rydberg atoms, and observe the resulting characteristic chiral motion in a minimal setup of three sites. Our demonstration relies on the intrinsic spin-orbit coupling of the dipolar exchange interaction combined with time-reversal symmetry breaking by a homogeneous external magnetic field. Remarkably, the phase of the hopping amplitude between two sites strongly depends on the occupancy of the third site, thus leading to a correlated hopping associated with a density-dependent Peierls phase. We experimentally observe this density-dependent hopping and show that the excitations behave as anyonic particles with a nontrivial phase under exchange. Finally, we confirm the dependence of the Peierls phase on the geometrical arrangement of the Rydberg atoms.

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“…With higher resolution, the small dispersion change associated with interlayer coupling and defects may become detectable, then 4D-EELS could easily correlate phonon dispersion with small structural changes such as chiral angle, local stacking order, and tiny defects. Nevertheless, we anticipate that the demonstrated 4D-EELS technique will surely find more applications in vibrational measurements of many other interesting material systems, such as resolving defect phonon modes 39 , interface phonon modes, and even topological phonon surface/edge states 40 .…”

Section: Discussionmentioning

confidence: 99%

Four-dimensional vibrational spectroscopy for nanoscale mapping of phonon dispersion in BN nanotubes

et al. 2021

Nat Commun

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Directly mapping local phonon dispersion in individual nanostructures can advance our understanding of their thermal, optical, and mechanical properties. However, this requires high detection sensitivity and combined spatial, energy and momentum resolutions, thus has been elusive. Here, we demonstrate a four-dimensional electron energy loss spectroscopy technique, and present position-dependent phonon dispersion measurements in individual boron nitride nanotubes. By scanning the electron beam in real space while monitoring both the energy loss and the momentum transfer, we are able to reveal position- and momentum-dependent lattice vibrations at nanometer scale. Our measurements show that the phonon dispersion of multi-walled nanotubes is locally close to hexagonal-boron nitride crystals. Interestingly, acoustic phonons are sensitive to defect scattering, while optical modes are insensitive to small voids. This work not only provides insights into vibrational properties of boron nitride nanotubes, but also demonstrates potential of the developed technique in nanoscale phonon dispersion measurements.

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Topological Phononics: From Fundamental Models to Real Materials

Cited by 188 publications

References 89 publications

Recent advances in 2D, 3D and higher-order topological photonics

Recent advances in 2D, 3D and higher-order topological photonics

Realization of a Density-Dependent Peierls Phase in a Synthetic, Spin-Orbit Coupled Rydberg System

Four-dimensional vibrational spectroscopy for nanoscale mapping of phonon dispersion in BN nanotubes

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