Model for Topological Phononics and Phonon Diode

Abstract

The quantum anomalous Hall effect, an exotic topological state first theoretically predicted by Haldane and recently experimentally observed, has attracted enormous interest for low-power-consumption electronics. In this work, we derived a Schr{ö}dinger-like equation of phonons, where topology-related quantities, time reversal symmetry and its breaking can be naturally introduced similar as for electrons. Furthermore, we proposed a phononic analog of the Haldane model, which gives the novel quantum (anomalous) Hall-like phonon states characterized by one-way gapless edge modes immune to scattering. The topologically nontrivial phonon states are useful not only for conducting phonons without dissipation but also for designing highly efficient phononic devices, like an ideal phonon diode, which could find important applications in future phononics.

Phys. Rev. B (accepted)

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• Catalogue of topological phonon materials
• Generalization of Fourier's law into viscous heat equations
• Chiral Phonons with Giant Magnetic Moments in a Topological Crystalline Insulator
• Straight nodal-line phonons in symmorphic space groups
• Kekule Lattice in Graphdiyne: Coexistence of Phononic and Electronic Higher-Order Band Topology
• Geometrically navigating topological platonic modes around gentle and sharp bends
• T-carbon: experiments, properties, derivatives and potential applications
• Weyl phonons in chiral crystals
• Lattice dynamics with molecular Berry curvature: chiral optical phonons
• Symmetry-enforced ideal lantern-like phonons in ternary nitride Li${}_6$WN${}_4$
• Line nodes, Dirac points and Lifshitz transition in 2D nonsymmorphic photonic crystals
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• Coexistience of phononic six-fold, four-fold and three-fold excitations in ternary antimonide Zr3Ni3Sb4
• Topologically protected interface phonons in two-dimensional nanomaterials: hexagonal boron nitride and silicon carbide
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• Topological dynamics of gyroscopic and Floquet lattices from Newton's laws
• Topological continuum charges of acoustic phonons in 2D
• Thermal engineering in low-dimensional quantum devices: a tutorial review of nonequilibrium Green's function methods
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• Coexistence of Multifold and Multidimensional Topological Phonons in KMgBO${}_3$
• A diagnosis scheme for topological degeneracies at high-symmetry momenta
• Prethermalization and nonreciprocal phonon transport in a levitated optomechanical array
• Topological spin-plasma waves
• Universal features of canonical phonon angular momentum without time-reversal symmetry
• Magnetic switching of phonon angular momentum in a ferrimagnetic insulator
• Phonons in Electron Crystals with Berry Curvature
• Nonlinear phonon Hall effects in ferroelectrics: its existence and non-volatile electrical control
• Quantum Computation for Predicting Electron and Phonon Properties of Solids
• Phonons of electronic crystals in two-dimensional semiconductor moiré patterns
• Predicting topological materials: symmetry-based indicator theories and beyond
• Phonon modes and topological phonon properties in (GaN)x/(AlN)x and (AlGaN)x/(GaN)x superlattices
• Current-induced phonon Hall effect
• Chiral phonons of honeycomb-type bilayer Wigner crystals
• Non-Hermitian Topoelectrical Circuits: Expedient Tools for Topological State Engineering with Gain-Loss Modulation
• Inherited Berry curvature of phonons in Dirac materials with time-reversal symmetry
• Ferroelectrically Controlled Chirality Switching of Weyl Quasiparticles
• Theory of Superconductivity Mediated by Topological Phonons
• Analytical solutions of topological surface states in a series of lattice models
• Nonlocality and Strength of Interatomic Interactions Inducing the Topological Phonon Phase Transition