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Title: Link between hopping models and percolation scaling laws for charge transport in mixtures of small molecules

Abstract

Mixed host compositions that combine charge transport materials with luminescent dyes offer superior control over exciton formation and charge transport in organic light emitting devices (OLEDs). Two approaches are typically used to optimize the fraction of charge transport materials in a mixed host composition: either an empirical percolative model, or a hopping transport model. We show that these two commonly-employed models are linked by an analytic expression which relates the localization length to the percolation threshold and critical exponent. The relation is confirmed both numerically and experimentally through measurements of the relative conductivity of Tris(4-carbazoyl-9-ylphenyl) amine (TCTA) :1,3-bis(3,5-dipyrid-3-yl-phenyl) benzene (BmPyPb) mixtures with different concentrations, where the TCTA plays a role as hole conductor and the BmPyPb as hole insulator. Furthermore, the analytic relation may allow the rational design of mixed layers of small molecules for high-performance OLEDs.

Authors:
 [1];  [2];  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
  2. Seoul National Univ., Seoul (Korea)
Publication Date:
Research Org.:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Energy Frontier Research Centers (EFRC) (United States). Center for Excitonics (CE)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); Center for Excitonics, an Energy Frontier Research Center; Kwanjeong Educational Foundation; National Research Foundation of Korea (NRF)
OSTI Identifier:
1262288
Grant/Contract Number:  
SC0001088
Resource Type:
Accepted Manuscript
Journal Name:
AIP Advances
Additional Journal Information:
Journal Volume: 6; Journal Issue: 4; Journal ID: ISSN 2158-3226
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; organic light emitting-diodes; n-vinylcarbazole; hole transport; conduction; threshold; blends; mobility; systems; films; host; hopping transport; percolation; charged excitons; current density

Citation Formats

Ha, Dong -Gwang, Kim, Jang -Joo, and Baldo, Marc A. Link between hopping models and percolation scaling laws for charge transport in mixtures of small molecules. United States: N. p., 2016. Web. doi:10.1063/1.4948591.
Ha, Dong -Gwang, Kim, Jang -Joo, & Baldo, Marc A. Link between hopping models and percolation scaling laws for charge transport in mixtures of small molecules. United States. doi:10.1063/1.4948591.
Ha, Dong -Gwang, Kim, Jang -Joo, and Baldo, Marc A. Fri . "Link between hopping models and percolation scaling laws for charge transport in mixtures of small molecules". United States. doi:10.1063/1.4948591. https://www.osti.gov/servlets/purl/1262288.
@article{osti_1262288,
title = {Link between hopping models and percolation scaling laws for charge transport in mixtures of small molecules},
author = {Ha, Dong -Gwang and Kim, Jang -Joo and Baldo, Marc A.},
abstractNote = {Mixed host compositions that combine charge transport materials with luminescent dyes offer superior control over exciton formation and charge transport in organic light emitting devices (OLEDs). Two approaches are typically used to optimize the fraction of charge transport materials in a mixed host composition: either an empirical percolative model, or a hopping transport model. We show that these two commonly-employed models are linked by an analytic expression which relates the localization length to the percolation threshold and critical exponent. The relation is confirmed both numerically and experimentally through measurements of the relative conductivity of Tris(4-carbazoyl-9-ylphenyl) amine (TCTA) :1,3-bis(3,5-dipyrid-3-yl-phenyl) benzene (BmPyPb) mixtures with different concentrations, where the TCTA plays a role as hole conductor and the BmPyPb as hole insulator. Furthermore, the analytic relation may allow the rational design of mixed layers of small molecules for high-performance OLEDs.},
doi = {10.1063/1.4948591},
journal = {AIP Advances},
number = 4,
volume = 6,
place = {United States},
year = {2016},
month = {4}
}

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