Table 2 Current transport models.

From: Enhanced performance of T2SLs LWIR avalanche photodiodes with a separate AlxGa1-xSb multiplication layer

Model

Equation

Drift–diffusion model

\(\cdot \overrightarrow{{\text{J}}_{\text{n}}}-\sum_{\text{j}}{\text{R}}_{\text{n}}^{\text{tj}}-{\text{R}}_{\text{au}}+{\text{G}}_{\text{opt}}\left(\text{t}\right)=\frac{\partial \text{n}}{\partial \text{t}}+{\text{N}}_{\text{D}}\frac{\partial {\text{f}}_{\text{D}}}{\partial \text{t}}\)

\(\nabla \cdot \overrightarrow{{\text{J}}_{\text{p}}}+\sum_{\text{j}}{\text{R}}_{\text{p}}^{\text{tj}}+{\text{R}}_{\text{au}}-{\text{G}}_{\text{opt}}\left(\text{t}\right)=-\frac{\partial \text{p}}{\partial \text{t}}+{\text{N}}_{\text{A}}\frac{\partial {\text{f}}_{\text{A}}}{\partial \text{t}}\)

SRH recombination & Trap

\({\text{R}}_{\text{n}}^{\text{tj}}={\text{c}}_{\text{nj}}{\text{nN}}_{\text{tj}}\left(1-{\text{f}}_{\text{tj}}\right)-{\text{c}}_{\text{nj}}{\text{n}}_{1\text{j}}{\text{N}}_{\text{tj}}{\text{f}}_{\text{tj}}\)

\({\text{R}}_{\text{p}}^{\text{tj}}={\text{c}}_{\text{pj}}{\text{pN}}_{\text{tj}}{\text{f}}_{\text{tj}}-{\text{c}}_{\text{pj}}{\text{p}}_{1\text{j}}{\text{N}}_{\text{tj}}(1-{\text{f}}_{\text{tj}})\)

Avalanche generation

\({\text{G}} = \alpha _{{\text{n}}} \overrightarrow {{{\text{J}}_{{\text{n}}} }} /{\text{q}} + \alpha _{{\text{p}}} \overrightarrow {{{\text{J}}_{{\text{p}}} }} /{\text{q}},\;\alpha \left( {\text{E}} \right){\text{ = }}\alpha ^{\infty } {\text{e}}^{{ - \left( {\frac{{{\text{E}}_{{\text{c}}} }}{{\text{E}}}} \right)}}\)

Auger recombination

Rau = (Cnn + Cpp) = (np − ni2)