Sonic Landau-level lasing and synthetic gauge fields in mechanical metamaterials

Abstract

Mechanical strain can lead to a synthetic gauge field that controls the dynamics of electrons in graphene sheets as well as light in photonic crystals. Here, we show how to engineer an analogous synthetic gauge field for lattice vibrations. Our approach relies on one of two strategies: shearing a honeycomb lattice of masses and springs or patterning its local material stiffness. As a result, vibrational spectra with discrete Landau levels are generated. Upon tuning the strength of the gauge field, we can control the density of states and transverse spatial confinement of sound in the metamaterial. We also use the gauge field to design waveguides in which sound propagates robustly, as a consequence of the change in topological polarization that occurs along a domain wall in the bulk of the metamaterial. By introducing dissipation, we can selectively enhance the domain-wall-bound topological sound mode, a feature that may be exploited for the design of sound amplification by stimulated emission of radiation - SASERs, the mechanical analogs of lasers.

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• Topological Photonics
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• Topological Acoustics
• Observation of phononic helical edge states in a mechanical 'topological insulator'
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• Mechanical Weyl Modes in Topological Maxwell Lattices
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• Pseudomagnetic fields for sound at the nanoscale
• Parity anomaly and Landau-level lasing in strained photonic honeycomb lattices
• Geared topological metamaterials with tunable mechanical stability
• Phonon analogue of topological nodal semimetals
• Topological phonon modes in filamentous structures

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• Design and Experimental Observation of Valley-Hall Edge States in Diatomic-Graphene-like Elastic Waveguides
• Axial-field-induced chiral channels in an acoustic Weyl system
• Pseudo-electromagnetic fields in topological semimetals
• Direct observation of photonic Landau levels and helical edge states in strained honeycomb lattices
• Electrically tunable Berry curvature and strong light-matter coupling in birefringent perovskite microcavities at room temperature
• Space-time Variant Self-growing Bandgap in Nonlinear Acoustic Metamaterial
• Nonlinear non-Hermitian higher-order topological laser
• Observation of supersymmetric pseudo-Landau levels in strained microwave graphene
• Experimental realization of chiral Landau levels in two-dimensional Dirac cone systems with inhomogeneous effective mass
• Switchable phonon diodes using nonlinear topological Maxwell lattices
• Landau levels in strained two-dimensional photonic crystals
• Tunable pseudo-magnetic fields for polaritons in strained metasurfaces
• Nonlinearity-induced transition in nonlinear Su-Schrieffer-Heeger model and nonlinear higher-order topological system
• Three-dimensional flat Landau levels in an inhomogeneous acoustic crystal
• Non-Abelian Generalizations of the Hofstadter model: Spin-orbit-coupled Butterfly Pairs
• Liquid-crystal-based topological photonics
• Fractional charges in conventional sequential electron tunneling
• Phononic topological insulators with tunable pseudospin physics
• Strain and pseudo-magnetic fields in optical lattices from density-assisted tunneling
• A classification of magnetic frustration and metamaterials from topology
• Topological Toda lattice and nonlinear bulk-edge correspondence
• Topology and geometry of spin origami
• Quench dynamics and bulk-edge correspondence in nonlinear mechanical systems
• Pseudomagnetic suppression of non-Hermitian skin effect
• Landau levels in curved space realized in strained graphene
• Electron vortex beams in non-uniform magnetic fields
• Non-singular and singular flat bands in tunable acoustic metamaterials
• Anomalous criticality with bounded fluctuations and long-range frustration induced by broken time-reversal symmetry
• Nonlinear topological phase diagram in dimerized sine-Gordon model
• Coupled spin-charge dynamics in helical Fermi liquids beyond the random phase approximation
• Coexisting Euler and Stiefel-Whitney Topological Phases in Elastic Metamaterials
• Wave manipulation via delay-engineered periodic potentials
• Phonon eigenfunctions of inhomogeneous lattices: Can you hear the shape of a cone?
• Topological Micro-Electro-Mechanical Systems
• Quantized valley Hall response from local bulk density variations