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    Ab Initio Theory of Optical Activity in α-Quartz in the GW-Bethe-Salpeter-Equation Framework

    Xiaoming Wang* and Yanfa Yan†

    • Department of Physics and Astronomy, Wright Center for Photovoltaics Innovation and Commercialization, The University of Toledo, Toledo, Ohio 43606, USA

    • *Contact author: xiaoming.wang@utoledo.edu
    • †Contact author: yanfa.yan@utoledo.edu

    Phys. Rev. Lett. 136, 186901 – Published 6 May, 2026

    DOI: https://doi.org/10.1103/cvjj-kbck

    Abstract

    We present an ab initio many-body theory of optical activity in solids within the GW approximation plus Bethe-Salpeter equation framework. Dielectric spatial dispersion is formulated in two complementary forms: exciton envelope modulation and sum-over-exciton-states expansion. Our application to α-quartz reveals that the envelope-modulated formulation captures the low-frequency region, whereas the sum-over-exciton-states formulation is essential to reproduce the correct full frequency dependence. Comparisons with the independent-particle approximation and simple local-field corrections further highlight the decisive role of excitonic many-body effects in shaping the spectral dispersion of optical activity in solids.

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