Dynamical Piezomagnetic Effect in Time-Reversal Invariant Weyl Semimetals with Axionic Charge-Density Waves

Abstract

Charge-density waves (CDWs) in Weyl semimetals (WSMs) have been shown to induce an exotic axionic insulating phase in which the sliding mode (phason) of the CDW acts as a dynamical axion field, giving rise to a large positive magneto-conductance [Wang et al., Phys. Rev. B 87, 161107(R) (2013); Roy et al., Phys. Rev. B 92, 125141 (2015); J. Gooth et al., Nature 575, 315 (2019)]. In this work, we predict that dynamical strain can induce a bulk orbital magnetization in time-reversal- (TR-) invariant WSMs that are gapped by a CDW. We term this effect the "dynamical piezomagnetic effect" (DPME). Unlike in [J. Gooth et al., Nature 575, 315 (2019)], the DPME introduced in this work occurs in a bulk-constant (i.e., static and spatially homogeneous in the bulk) CDW, and does not rely on fluctuations, such as a phason. By studying the low-energy effective theory and a minimal tight-binding (TB) model, we find that the DPME originates from an effective valley axion field that couples the electromagnetic gauge field with a strain-induced pseudo-gauge field. In particular, whereas the piezoelectric effects studied in previous works are characterized by 2D Berry curvature, the DPME represents the first example of a fundamentally 3D strain effect originating from the Chern-Simons 3-form. We further find that the DPME has a discontinuous change at a critical value of the phase of the CDW order parameter. We demonstrate that, when there is a jump in the DPME, the surface of the system undergoes a topological quantum phase transition (TQPT), while the bulk remains gapped. Hence, the DPME provides a bulk signature of the boundary TQPT in a TR-invariant Weyl-CDW.

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• All Topological Bands of All Nonmagnetic Stoichiometric Materials
• Absence of in-gap modes in charge density wave edge dislocations of the Weyl semimetal (TaSe${}_4$)${}_2$I
• Finite-Momentum Instability of Dynamical Axion Insulator
• Pseudo-gauge Fields in Dirac and Weyl Materials
• Stability of dipolar bosons in a quasiperiodic potential
• Multiphoton Spectroscopy of a Dynamical Axion Insulator
• Chern Simons condensate from misaligned axions
• Axionic Acoustic Phonons from Weyl Semimetals
• Dynamics of axion-neutral pseudoscalar mixing
• Gapless Topological Peierls-like instabilities in more than one dimension
• Synthetic and cosmological axion hybridization: entangled photons, (HBT) and quantum beats
• Effective field theory of particle mixing
• Localized interfacial Phonon Modes at the Electronic Axion Domain Wall
• Probing dynamical axion quasiparticles with two-photon correlations
• Field mixing in a thermal medium: A quantum master equation approach