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 (TaSe4)2I. 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, and 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.

arXiv commentv2: fixed typos, improved convention for Feynman rules. v1: 33 pages, 19 figures

References in corpus (66)

• Berry Phase Effects on Electronic Properties
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Prediction and observation of the first antiferromagnetic topological insulator
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Observation of Weyl nodes in TaAs
• Discovery of a Weyl Fermion semimetal state in NbAs
• Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
• Magnetic Weyl Semimetal Phase in a Kagome Crystal
• Quantized circular photogalvanic effect in Weyl semimetals
• Experimental realization of an intrinsic magnetic topological insulator
• Fermi-arc diversity on surface terminations of the magnetic Weyl semimetal Co3Sn2S2
• The chiral anomaly and thermopower of Weyl fermions in the half-Heusler GdPtBi
• Topological nature of nonlinear optical effects in solids
• Discovery of topological Weyl fermion lines and drumhead surface states in a room temperature magnet
• Giant anisotropic nonlinear optical response in transition metal monopnictide Weyl semimetals
• High-throughput calculations of magnetic topological materials
• Anomalous Hall Effect in Weyl Metals
• Weyl semimetal with broken time reversal and inversion symmetries
• Hedgehog Spin-texture and Berry's Phase tuning in a Magnetic Topological Insulator
• Realization of the Axion Insulator State in Quantum Anomalous Hall Sandwich Heterostructures
• Three-dimensional quantum Hall effect and metal-insulator transition in ZrTe5
• Weyl Metals
• Structure and Topology of Band Structures in the 1651 Magnetic Space Groups
• Kubo formulas for viscosity: Hall viscosity, Ward identities, and the relation with conductivity
• Notes on Anomaly Induced Transport
• Chiral anomaly, Charge Density Waves, and Axion Strings from Weyl Semimetals
• Evidence for an axionic charge density wave in the Weyl semimetal (TaSe4)2I
• Low-frequency divergence and quantum geometry of the bulk photovoltaic effect in topological semimetals
• Diagrammatic approach to nonlinear optical response with application to Weyl semimetals
• Observation of Topological Photocurrents in the Chiral Weyl Semimetal RhSi
• Chiral Optical Response of Multifold Fermions
• Semiclassical theory of nonlinear magneto-optical responses with applications to topological Dirac/Weyl semimetals
• Material design with the van der Waals stacking of bismuth-halide chains realizing a higher-order topological insulator
• Higgs + 2 jets via gluon fusion
• A Charge-Density-Wave Topological Semimetal
• Topological Weyl Semi-metal from a Lattice Model
• Weak Topological Insulators and Composite Weyl Semimetals: $\beta$-Bi${}_4$X${}_4$ (X=Br, I)
• Minimal models for topological Weyl semimetals
• Nonlinear optical responses of crystalline systems: Results from a velocity gauge analysis
• Difference frequency generation in topological semimetals
• Epsilon-Near-Zero Response and Tunable Perfect Absorption in Weyl Semimetals
• Multifold nodal points in magnetic materials
• Higgs-Pair Production via Gluon Fusion at Hadron Colliders: NLO QCD Corrections
• Band Engineering of Dirac Semimetals using Charge Density Waves
• Response Properties of Axion Insulators and Weyl Semimetals Driven by Screw Dislocations and Dynamical Axion Strings
• Hall viscosity in quantum systems with discrete symmetry: point group and lattice anisotropy
• Topological edge states in single- and multi-layer Bi${}_4$Br${}_4$
• First-principles study of the low-temperature charge density wave phase in the quasi-one-dimensional Weyl chiral compound (TaSe${}_4$)${}_2$I
• Migdal's theorem and electron-phonon vertex corrections in Dirac materials
• Evidence for dominant phonon-electron scattering in Weyl semimetal WP${}_2$
• Electronic Instability in a Zero-Gap Semiconductor: the Charge-Density Wave in (TaSe4)2I
• Eightfold Fermionic Excitation in a Charge Density Wave Compound
• Axionic Band Topology in Inversion-Symmetric Weyl-Charge-Density Waves
• Charge density waves in Weyl semimetals
• Waveguide Modes in Weyl Semimetals with Tilted Dirac Cones
• Third order optical nonlinearity of three dimensional massless Dirac fermions
• Theory of the fractional quantum Hall effect in Weyl semimetals
• Suppression of axionic charge density wave and onset of superconductivity in the chiral Weyl semimetal Ta${}_2$Se${}_8$I
• Symmetry-protected Nodal Points and Nodal Lines in Magnetic Materials
• Resonant Plasmon-Axion Excitations Induced by Charge Density Wave Order in Weyl Semimetal
• Role of Collective Mode for Optical Conductivity and Reflectivity in Quarter-Filled Spin-Density-Wave State
• Mesoscopic variations of local density of states in disordered superconductors

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• Finite-Momentum Instability of Dynamical Axion Insulator