Generalized Method to Extract Carrier Diffusion Length from Photoconductivity Transients: Cases of BiVO_{4}, Halide Perovskites, and Amorphous and Crystalline Silicon

Long diffusion lengths of photoexcited charge carriers are crucial for high power conversion efficiencies of photoelectrochemical and photovoltaic devices. Time-resolved photoconductance measurements are often used to determine diffusion lengths in conventional semiconductors. However, effects such...

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Main Authors: Markus Schleuning, Moritz Kölbach, Fatwa F. Abdi, Klaus Schwarzburg, Martin Stolterfoht, Rainer Eichberger, Roel van de Krol, Dennis Friedrich, Hannes Hempel
Format: Article
Language:English
Published: American Physical Society 2022-09-01
Series:PRX Energy
Online Access:http://doi.org/10.1103/PRXEnergy.1.023008
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author Markus Schleuning
Moritz Kölbach
Fatwa F. Abdi
Klaus Schwarzburg
Martin Stolterfoht
Rainer Eichberger
Roel van de Krol
Dennis Friedrich
Hannes Hempel
author_facet Markus Schleuning
Moritz Kölbach
Fatwa F. Abdi
Klaus Schwarzburg
Martin Stolterfoht
Rainer Eichberger
Roel van de Krol
Dennis Friedrich
Hannes Hempel
author_sort Markus Schleuning
collection DOAJ
description Long diffusion lengths of photoexcited charge carriers are crucial for high power conversion efficiencies of photoelectrochemical and photovoltaic devices. Time-resolved photoconductance measurements are often used to determine diffusion lengths in conventional semiconductors. However, effects such as polaron formation or multiple trapping can lead to time-varying mobilities and lifetimes that are not accounted for in the conventional calculation of the diffusion length. Here, a generalized analysis is presented that is valid for time-dependent mobilities and time-dependent lifetimes. The diffusion length is determined directly from the integral of a photoconductivity transient and can be applied regardless of the nature of carrier relaxation. To demonstrate our approach, photoconductivity transients are measured from 100 fs to 1 µs by the combination of time-resolved terahertz and microwave spectroscopy for BiVO_{4}, one of the most studied metal oxide photoanodes for photoelectrochemical water splitting. The temporal evolution of charge carrier displacement is monitored and converges after about 100 ns to a diffusion length of about 15 nm, which rationalizes the photocurrent loss in the corresponding photoelectrochemical device. The presented method is further validated on a-Si:H, c-Si, and halide perovskite, which underlines its potential to determine the diffusion length in a wide range of semiconductors, including disordered materials.
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spelling doaj-art-d850a8eb1dbc4cfab0ed8feebc0f89d22025-08-20T01:55:15ZengAmerican Physical SocietyPRX Energy2768-56082022-09-011202300810.1103/PRXEnergy.1.023008Generalized Method to Extract Carrier Diffusion Length from Photoconductivity Transients: Cases of BiVO_{4}, Halide Perovskites, and Amorphous and Crystalline SiliconMarkus SchleuningMoritz KölbachFatwa F. AbdiKlaus SchwarzburgMartin StolterfohtRainer EichbergerRoel van de KrolDennis FriedrichHannes HempelLong diffusion lengths of photoexcited charge carriers are crucial for high power conversion efficiencies of photoelectrochemical and photovoltaic devices. Time-resolved photoconductance measurements are often used to determine diffusion lengths in conventional semiconductors. However, effects such as polaron formation or multiple trapping can lead to time-varying mobilities and lifetimes that are not accounted for in the conventional calculation of the diffusion length. Here, a generalized analysis is presented that is valid for time-dependent mobilities and time-dependent lifetimes. The diffusion length is determined directly from the integral of a photoconductivity transient and can be applied regardless of the nature of carrier relaxation. To demonstrate our approach, photoconductivity transients are measured from 100 fs to 1 µs by the combination of time-resolved terahertz and microwave spectroscopy for BiVO_{4}, one of the most studied metal oxide photoanodes for photoelectrochemical water splitting. The temporal evolution of charge carrier displacement is monitored and converges after about 100 ns to a diffusion length of about 15 nm, which rationalizes the photocurrent loss in the corresponding photoelectrochemical device. The presented method is further validated on a-Si:H, c-Si, and halide perovskite, which underlines its potential to determine the diffusion length in a wide range of semiconductors, including disordered materials.http://doi.org/10.1103/PRXEnergy.1.023008
spellingShingle Markus Schleuning
Moritz Kölbach
Fatwa F. Abdi
Klaus Schwarzburg
Martin Stolterfoht
Rainer Eichberger
Roel van de Krol
Dennis Friedrich
Hannes Hempel
Generalized Method to Extract Carrier Diffusion Length from Photoconductivity Transients: Cases of BiVO_{4}, Halide Perovskites, and Amorphous and Crystalline Silicon
PRX Energy
title Generalized Method to Extract Carrier Diffusion Length from Photoconductivity Transients: Cases of BiVO_{4}, Halide Perovskites, and Amorphous and Crystalline Silicon
title_full Generalized Method to Extract Carrier Diffusion Length from Photoconductivity Transients: Cases of BiVO_{4}, Halide Perovskites, and Amorphous and Crystalline Silicon
title_fullStr Generalized Method to Extract Carrier Diffusion Length from Photoconductivity Transients: Cases of BiVO_{4}, Halide Perovskites, and Amorphous and Crystalline Silicon
title_full_unstemmed Generalized Method to Extract Carrier Diffusion Length from Photoconductivity Transients: Cases of BiVO_{4}, Halide Perovskites, and Amorphous and Crystalline Silicon
title_short Generalized Method to Extract Carrier Diffusion Length from Photoconductivity Transients: Cases of BiVO_{4}, Halide Perovskites, and Amorphous and Crystalline Silicon
title_sort generalized method to extract carrier diffusion length from photoconductivity transients cases of bivo 4 halide perovskites and amorphous and crystalline silicon
url http://doi.org/10.1103/PRXEnergy.1.023008
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