Chiral-phonon-induced current in helical crystals

Abstract

In this study, we theoretically show that in a helical crystal, a current is induced by chiral phonons representing the microscopic local rotation of atoms. By treating the rotational motion as a perturbation, we calculate the time-dependent current by using the adiabatic Berry phase method. The time average of the current along the helical axis becomes finite in the metallic phase but it vanishes in the insulating phase. On the other hand, the current in the hexagonal plane changes with time, but its time average vanishes due to the threefold rotation space-time symmetry. We show that the time evolutions of the current follow the space-time symmetries of the helical systems. Moreover, we explain the reason for the vanishing of the time average of the current in the insulating phase from the aspect of the Chern number in the parameter space.

arXiv comment12 pages, 8 figures

References in corpus (33)

• Chiral tunneling and the Klein paradox in graphene
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Quantized circular photogalvanic effect in Weyl semimetals
• Valley contrasting chiral phonons in monolayer hexagonal lattices
• An effective magnetic field from optically driven phonons
• Topological Nature of the Phonon Hall Effect
• Angular Momentum of Phonons and Einstein-de Haas Effect
• Dynamical Multiferroicity
• Orbital magnetic moments of phonons
• Orbital Edelstein effect as a condensed-matter analog of solenoid
• Current-induced Orbital and Spin Magnetizations in Crystals with Helical Structure
• Phonon Angular Momentum Induced by Temperature Gradient
• Giant effective magnetic fields from optically driven chiral phonons in 4$f$ paramagnets
• Angular momentum in spin-phonon processes
• Pseudospin and Deformation-induced Gauge Field in Graphene
• Anomalous Hall effect for the phonon heat conductivity in paramagnetic dielectric
• Phono-magnetic analogs to opto-magnetic effects
• Thermal Hall effect in a phonon-glass Ba${}_3$CuSb${}_2$O${}_9$
• Chirality-Induced Electrical Generation of Magnetism in Nonmagnetic Elemental Tellurium
• Chiral phonons and pseudo-angular momentum in non-symmorphic systems
• Adiabatically Induced Orbital Magnetization
• Dynamically induced magnetism in KTaO${}_3$
• Lattice dynamics with molecular Berry curvature: chiral optical phonons
• Conversion between electron spin and microscopic atomic rotation
• Current-induced orbital magnetization in systems without inversion symmetry
• Phonon helicity induced by electronic Berry curvature in Dirac materials
• Geometric orbital magnetization in adiabatic processes
• Phonon rotoelectric effect
• Dynamic electron-phonon and spin-phonon interactions due to inertia
• Index theorem on chiral Landau bands for topological fermions
• Phonon magnetochiral effect of band-geometric origin in Weyl semimetals

Cited by in corpus (12)

• Chiral Phonons with Giant Magnetic Moments in a Topological Crystalline Insulator
• Chirality-induced Phonon-Spin Conversion at an Interface
• Theory of Energy Dispersion of Chiral Phonon
• Orbital Pumping Incorporating Both Orbital Angular Momentum and Position
• Electric field-induced nonreciprocal spin current due to chiral phonons in chiral-structure superconductors
• Conversion of chiral phonons into magnons in ferromagnets and antiferromagnets
• Theory of spin magnetization driven by chiral phonons
• Theory of spin Seebeck effect activated by acoustic chiral phonons
• Ferroaxial phonons in chiral and polar NiCo2TeO6
• Chiral magnon in ferromagnetic chiral crystals
• Dynamical Orbital Angular Momentum Induced by Circularly Polarized Phonons
• Microscopic Theory of Chiral-Phonon-Induced Orbital Selectivity in Helical Crystals