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Mathematical Models for Nano Science - Politecnico di Milano

Mathematical Models for Nano Science - Politecnico di Milano

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Bilayer solar cells<br />

light<br />

current<br />

at contacts<br />

absorbption<br />

ra<strong>di</strong>ative<br />

recombination<br />

drift / <strong>di</strong>ffusion<br />

bulk<br />

excitons<br />

<strong>di</strong>ffusion<br />

bulk<br />

free carriers<br />

interface<br />

excitons<br />

partial<br />

<strong>di</strong>ssociation<br />

geminate<br />

recombination pairs<br />

drift / <strong>di</strong>ffusion<br />

recombination<br />

interface<br />

free carriers<br />

recombination to<br />

triplet excitons<br />

<strong>di</strong>ssociation<br />

2H<br />

Ω n<br />

Γ C<br />

hν<br />

Ω H<br />

Γ N<br />

Assumptions<br />

• Depletion of electrons in Ω p and of<br />

holes in Ω n<br />

Ω p<br />

• Dissociation area Ω H<br />

• Einstein relation<br />

Γ A<br />

Unknowns: X , P, n, p and ϕ

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