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Enhancement of Zener tunneling rate via electron-hole attraction within a time-dependent quasi-Hartree-Fock method

2023/08/11 by Shinohara, Yasushi, Sanada, Haruki, Oguri, Katsuya
#FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Optics (physics.optics)

paper · doi:10.48550/arxiv.2308.06193

Abstract

The tunneling process, a prototypical phenomenon of nonperturbative dynamics, is a natural consequence of photocarrier generation in materials irradiated by a strong laser. Common treatments for Zener tunneling are based on a one-body problem with a field-free electronic structure. In a literature (Ikemachi et al., Phys. Rev. A 98, 023415 (2018)), a characteristic of gap shrinking or excitation can occur due to the electron-hole interaction for slow and strong time-varying electric fields. We have developed a theoretical framework called the quasi-Hartree-Fock (qHF) method to enable a more flexible imitation of the electronic structures and electron-hole attraction strength of materials compared to the original Hartree-Fock method. In the qHF framework, band gap, reduced effective mass, and electron-hole interaction strength can be independently selected to reproduce common crystals. In this study, we investigate the effect of electron-hole attraction on Zener tunneling subjected to a DC electric field for four different systems using the qHF method. Our findings demonstrate that the electron-hole attraction promotes the tunneling rates in all four material systems assumed as examples. Specifically, systems that have a strong electron-hole interaction show a few factor enhancements for tunneling rates under DC fields, while systems with a weak interaction show higher enhancements of a few tens of percent.

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