Optical response from charge-density waves in Weyl semimetals

Abstract

The study of charge-density wave (CDW) distortions in Weyl semimetals has recently returned to the forefront, inspired by experimental interest in materials such as (TaSe 4 ) 2 I. However, the interplay between collective phonon excitations and charge transport in Weyl-CDW systems has not been systematically studied. In this paper, we examine the longitudinal electromagnetic response due to collective modes in a Weyl semimetal gapped by a quasi-one-dimensional charge-density wave order, using both continuum and lattice regularized models. We systematically compute the contributions of the collective modes to the linear and nonlinear optical conductivity of our models, both with and without tilting of the Weyl cones. We discover that, unlike in a single-band CDW, the gapless CDW collective mode does not contribute to the conductivity unless the Weyl cones are tilted. Going further, we show that the lowest nontrivial collective mode contribution to charge transport with untilted Weyl cones comes in the third-order conductivity for a single collective mode. This third-order process is mediated by the gapped amplitude mode. We show that this leads to a sharply peaked third harmonic response at frequencies below the single-particle energy gap. We discuss the implications of our findings for transport experiments in Weyl-CDW systems.

Multiphoton Spectroscopy of a Dynamical Axion Insulator

“…It turns out Weyl semimetals naturally have an axion term that is related to the separation in k-space and in energy of the Weyl nodes. What's more, when the Weyl system undergoes lattice translation symmetry breaking due to the emergence of charge density wave (CDW) order [14,15], the collective motion associated to the phase of the CDW in turn leads to a dynamical axion effect and to a nonlinear magnetoelectric effect on top of the response due to band structure effects [16][17][18][19]. In the presence of uncompensated carrier densities this may even lead to spatially inhomogeneous textures due to softening of the axionic collective mode [20].…”