Abstract

Weyl semimetals are materials with topologically nontrivial band structure both in the bulk and on the surface, hosting chiral nodes which are sinks and sources of Berry curvature. Weyl semimetals have been predicted, and recently measured, to exhibit large nonlinear optical responses. This discovery, along with their high mobilities, makes Weyl semimetals relevant to a broad spectrum of applications in optoelectronic, nanophotonic and quantum optical devices. While there is growing interest in understanding and characterizing the linear and nonlinear behavior of Weyl semimetals, an ab initio calculation of the linear optical and optoelectronic responses at finite temperature remains largely unexplored. Here, we specifically address the temperature dependence of the linear optical response in type-I Weyl semimetals TaAs and NbAs. We evaluate from first principles the scattering lifetimes due to electron-phonon and electron-electron interaction and incorporate these lifetimes in evaluating an experimentally relevant frequency-, polarization- and temperature-dependent complex dielectric function for each semimetal. From these calculations we present linear optical conductivity predictions which agree well where experiment exists (for TaAs) and guide the way for future measurements of type-I Weyl semimetals. Importantly, we also examine the optical conductivity's dependence on the chemical potential, a crucial physical parameter which can be controlled experimentally and can elucidate the role of the Weyl nodes in optoelectronic response. Through this work, we present design principles for Weyl optoelectronic devices that use photogenerated carriers in type-I Weyl semimetals.

Highlights

  • Weyl semimetals, one class of materials with topologically nontrivial electronic behavior, have generated considerable recent attention [1,2,3] for their novel responses to applied electric and magnetic fields

  • We present the temperature-dependent optical conductivity, finding our calculations to be in excellent agreement with experimental observations of the real linear optical conductivity in TaAs; we expect our predictions for NbAs will spur optical measurements of this material and would show similar agreement with our calculations

  • This paper presents a comprehensive first-principles study of the optoelectronic response of type-I Weyl semimetals TaAs and NbAs

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Summary

INTRODUCTION

One class of materials with topologically nontrivial electronic behavior, have generated considerable recent attention [1,2,3] for their novel responses to applied electric and magnetic fields. Being of the first type, TaAs, simultaneously satisfies the condition for a nonzero secondorder nonlinear optical response as the nonlinear susceptibility χ (2) is not necessarily required to vanish in materials lacking centrosymmetry [46] Realization of this concept has been observed in both experimental and theoretical studies of second-harmonic generation [13,14] and shift current [15], both second-order nonlinear responses. With the intense interest in the linear and nonlinear optoelectronic properties of TaAs and NbAs, we note a critical gap in the literature: ab initio predictions of the optical behavior of these materials, in particular, the frequency- and temperature-dependent dielectric response and optical conductivity. We address the linear optical response in type-I Weyl semimetals TaAs and NbAs from first principles, evaluating an experimentally relevant frequency-, polarization-, and temperature-dependent complex dielectric function for each material. We examine the chemical potential dependence of the optical conductivity in these semimetals and explore the relative contributions of the Weyl nodes to the linear optical response

STRUCTURE AND SYMMETRY OF
SCATTERING LIFETIME EVALUATION
DIELECTRIC FUNCTION FROM FIRST PRINCIPLES
LINEAR OPTICAL CONDUCTIVITY PREDICTION
EFFECT OF CHEMICAL POTENTIAL VARIATION
CONCLUSIONS
VIII. COMPUTATIONAL METHODS

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