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    Two-fluid mobility model from coupled hydrodynamic equations for simulating laser-driven semiconductor switches

    Qile Wu1,2,*, Antonín Sojka1,2, Brad D. Price1,2, Nikolay I. Agladze1,2, Anup Yadav3, Sophie L. Pain3, John D. Murphy3, Tim Niewelt3,4,5, and Mark S. Sherwin1,2

    • *Contact author: qile_wu@ucsb.edu

    Phys. Rev. Applied 24, 014007 – Published 2 July, 2025

    DOI: https://doi.org/10.1103/47kj-1g91

    Abstract

    We introduce a two-fluid mobility model incorporating fundamental aspects of electron-hole (e-h) scattering such as momentum conservation for simulating laser-driven semiconductor switches (LDSSs). Compared to previous works that use Matthiessen’s rule, the two-fluid mobility model predicts distinct ac responses of e-h plasmas in semiconductors. Based on the two-fluid mobility model, we develop a theory with very few adjustable parameters for simulating the switching performance of LDSSs based on high-purity indirect-gap semiconductors such as silicon (Si). As a prototypical application, we successfully reproduce experimentally measured reflectance at around 320 GHz in a laser-driven Si switch. By injecting e-h plasmas with densities up to 1020cm−3, we reveal the importance of carrier-screening effects in e-h scattering and Auger recombination for carrier densities above the critical carrier density for exciton-plasma Mott transition. Our results also suggest a way to characterize the intrinsic momentum-relaxation mechanism, e-h scattering, and the intrinsic e-h recombination mechanism in indirect-gap semiconductors, Auger recombination. We reassess the ambipolar Auger coefficient of high-purity Si with high injection levels of e-h plasmas up to 1020cm−3 and find a minimal value of 1.8×10−41cm6/ns. This value is more than one order of magnitude smaller than the ambipolar Auger coefficient widely used for simulating LDSSs, 3.8×10−40cm6/ns, which was deduced from the minority-carrier lifetime in highly doped silicon more than four decades ago.

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