Mathematical and Numerical Methods for Complex Quantum Systems

Towards a unified macroscopic description of exciton diffusion in organic semiconductors

Jingrun Chen

University of California Santa Barbara

Exciton diffusion length is an important parameter to characterize the efficiency of organic solar cells. Diffusion model, Monte-Carlo method, Stern-Volmer formula, and exciton-exciton annihilation model have been used to calculate exciton diffusion lengths of different materials under photoluminescence and photocurrent measurements. In this talk, I will discuss the relations between different models from a modeling viewpoint with mathematical justifications and experimental verifications.