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.

4+ pages, 1 figure

References in corpus (8)

• Topological Field Theory of Time-Reversal Invariant Insulators
• The Chiral Magnetic Effect
• Topological response in Weyl semimetals and the chiral anomaly
• Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
• Theory of orbital magnetoelectric response
• Chiral magnetic effect in two-band lattice model of Weyl semimetal
• Theory of electric polarization induced by inhomogeneity in crystals
• Pumping conductance, the intrinsic anomalous Hall effect, and statistics of topological invariants

Cited by in corpus (12)

• Nonlinear electric transport in odd-parity magnetic multipole systems: Application to Mn-based compounds
• Adiabatically Induced Orbital Magnetization
• Polar Metals Taxonomy for Materials Classification and Discovery
• Symmetry analysis with spin crystallographic groups: Disentangling effects free of spin-orbit coupling in emergent electromagnetism
• 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
• Anomalous transport in pseudospin-1 fermions
• Observation of converse flexoelectric effect in topological semimetals
• Generalized Pitaevskii relation between rectifying and linear responses: its application to reciprocal magnetization induction
• Current response to axial gauge fields in noncentrosymmetric magnetic Weyl semimetals