Some III-V digital alloy avalanche photodiodes demonstrate very low excess noise making them suitable for single photon detection applications. This behavior is attributed to the presence of minigaps in the valence band and high hole effective mass which reduce hole impact ionization. In this work, we present a physics based SPICE compatible compact model for these low noise avalanche photodiodes built from parameters extracted from Environment-Dependent Tight Binding model, that is calibrated to ab-initio Density Functional Theory, and Monte Carlo methods. Using this approach, we can accurately capture the physical characteristics of APDs in integrated photonics circuit simulation.
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