Phonon-Assisted Ballistic Current From First Principles Calculations
Zhenbang Dai, Aaron M. Schankler, Lingyuan Gao, Liang Z. Tan, Andrew, M. Rappe

TL;DR
This paper develops a first-principles method to calculate phonon-assisted ballistic currents in bulk photovoltaic materials, demonstrating their significance and sensitivity to structural changes, with implications for photovoltaic device design.
Contribution
It introduces a perturbative formula for ballistic current from electron-phonon interactions and applies it to TiO3, showing the importance of ballistic contributions in BPVE.
Findings
Ballistic current magnitude is comparable to shift current.
Total photocurrent spectrum matches experimental data.
Ballistic current varies with structural modifications.
Abstract
The bulk photovoltaic effect (BPVE) refers to current generation due to illumination by light in a homogeneous bulk material lacking inversion symmetry. In addition to the intensively studied shift current, the ballistic current, which originates from asymmetric carrier generation due to scattering processes, also constitutes an important contribution to the overall kinetic model of the BPVE. In this letter, we use a perturbative approach to derive a formula for the ballistic current resulting from the intrinsic electron-phonon scattering in a form amenable to first-principles calculation. We then implement the theory and calculate the ballistic current of the prototypical BPVE material \ch{BaTiO3} using quantum-mechanical density functional theory. The magnitude of the ballistic current is comparable to that of shift current, and the total spectrum (shift plus ballistic) agrees well…
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