Dynamical piezoelectric and magnetopiezoelectric effects in polar metals from Berry phases and orbital moments

Abstract

The polarization of a material and its response to applied electric and magnetic fields are key solid-state properties with a long history in insulators, although a satisfactory theory required new concepts such as Berry-phase gauge fields. In metals, quantities such as static polarization and magnetoelectric $\theta$-term cease to be well-defined. In polar metals there can be analogous dynamical current responses, which we study in a common theoretical framework. We find that current responses to dynamical strain in polar metals depend on both the first and second Chern forms, related to polarization and magnetoelectricity in insulators, as well as the orbital magnetization on the Fermi surface. We provide realistic estimates that predict that the latter contribution will dominate and investigate the feasibility of experimental detection of this effect.

arXiv comment4+ pages, 1 figure

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• Collapse of Landau levels in Weyl semimetals
• Observation of Magnetopiezoelectric Effect in Antiferromagnetic Metal EuMnBi2
• Polar Metals Taxonomy for Materials Classification and Discovery
• Symmetry analysis with spin crystallographic groups: Disentangling effects free of spin-orbit coupling in emergent electromagnetism
• Piezoelectricity and Topological Quantum Phase Transitions in Two-Dimensional Spin-Orbit Coupled Crystals with Time-Reversal Symmetry
• Pressure-induced enhancement of non-polar to polar transition temperature in metallic LiOsO${}_3$
• Valley-Contrasting Orbital Magnetic Moment Induced Negative Magnetoresistance
• Connecting the dots: Time-reversal symmetric Weyl Semimetals with tunable Fermi arcs
• Superconducting piezoelectric effect
• Magnetic parity violation and parity-time-reversal-symmetric magnets
• Superconductivity from piezoelectric interactions in Weyl semimetals
• In-plane magnetoelectric response in bilayer graphene
• Anomalous transport in pseudospin-1 fermions
• Generalized Pitaevskii relation between rectifying and linear responses: its application to reciprocal magnetization induction
• Observation of converse flexoelectric effect in topological semimetals
• Current response to axial gauge fields in noncentrosymmetric magnetic Weyl semimetals