Berry Phase and Topological Effects of Phonons

Abstract

Phonons as collective excitations of lattice vibrations are the main heat carriers in solids. Tremendous effort has been devoted to investigate phonons and related properties, giving rise to an intriguing field of phononics, which is of great importance to many practical applications, including heat dissipation, thermal barrier coating, thermoelectrics and thermal control devices. Meanwhile, the research of topology-related physics, awarded the 2016 Nobel Prize in Physics, has led to discoveries of various exotic quantum states of matter, including the quantum (anomalous/spin) Hall [Q(A/S)H] effects, topological insulators/semimetals and topological superconductors. An emerging research field is to bring topological concepts for a new paradigm phononics---"topological phononics". In this Perspective, we will briefly introduce this emerging field and discuss the use of novel quantum degrees of freedom like the Berry phase and topology for manipulating phonons in unprecedentedly new ways.

arXiv commentAccepted by National Science Review (2017)

References in corpus (10)

• Topological Insulators
• Topological insulators and superconductors
• Berry Phase Effects on Electronic Properties
• Phononics: Manipulating heat flow with electronic analogs and beyond
• Observation of phononic helical edge states in a mechanical 'topological insulator'
• Topological Boundary Modes in Isostatic Lattices
• Valley contrasting chiral phonons in monolayer hexagonal lattices
• Topological Nature of the Phonon Hall Effect
• Classification of topological phonons in linear mechanical metamaterials
• Model for Topological Phononics and Phonon Diode

Cited by in corpus (22)

• Pseudospins and topological effects of phonons in a Kekule lattice
• Symmetry-Protected Ideal Type-II Weyl Phonons in CdTe
• Symmetry-Protected Topological Triangular Weyl Complex
• Tutorial: Computing topological invariants in two-dimensional photonic crystals
• Unsupervised Manifold Clustering of Topological Phononics
• Honeycomb Layered Oxides: Structure, Energy Storage, Transport, Topology and Relevant Insights
• Phononic Weyl Nodal Straight Lines in High-Temperature Superconductor MgB${}_2$
• Recipe for Dirac Phonon States with Quantized Valley Berry Phase in Two Dimensional Hexagonal Lattices
• Straight nodal-line phonons in symmorphic space groups
• Geometrically navigating topological platonic modes around gentle and sharp bends
• Coexistience of phononic six-fold, four-fold and three-fold excitations in ternary antimonide Zr3Ni3Sb4
• Chiral phonons in honeycomb sublattice of layered CoSn-like compounds
• Coexistence of zero-, one- and two-dimensional degeneracy in tetragonal SnO${}_2$ phonons
• Dirac phonons in two-dimensional materials
• Topology of Triple-Point Metals
• Phononic topological insulators with tunable pseudospin physics
• Topological nodal lines and hybrid Weyl nodes in YCoC${}_2$
• All hourglass bosonic excitations in the 1651 magnetic space groups and 528 magnetic layer groups
• Coexistent topological and chiral phonons in chiral RhGe: An ab initio study
• Phonon pseudoangular momentum in $\alpha$-MoO${}_3$
• Discrete time crystal made of topological edge magnons
• Inherited Berry curvature of phonons in Dirac materials with time-reversal symmetry