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

Ha, Dong -Gwang; Kim, Jang -Joo; Baldo, Marc A.

doi:10.1063/1.4948591

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

Journal Article · Fri Apr 29 00:00:00 EDT 2016 · AIP Advances

DOI:https://doi.org/10.1063/1.4948591· OSTI ID:1262288

Ha, Dong -Gwang ^[1]; Kim, Jang -Joo ^[2]; Baldo, Marc A. ^[3]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Seoul National Univ.; MIT
Seoul National Univ., Seoul (Korea)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

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.

View Accepted Manuscript (DOE)

Research Organization:: Energy Frontier Research Centers (EFRC) (United States). Center for Excitonics (CE); Massachusetts Institute of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: Kwanjeong Educational Foundation; NRF of Korea; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0001088

OSTI ID:: 1262288

Journal Information:: AIP Advances, Journal Name: AIP Advances Journal Issue: 4 Vol. 6; ISSN AAIDBI; ISSN 2158-3226

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

References (31)

Interplay of Hopping and Percolation in Organic Conducting Blends Fraysse, J.; Plan�s, J. physica status solidi (b), Vol. 218, Issue 1 https://doi.org/10.1002/(SICI)1521-3951(200003)218:1<273::AID-PSSB273>3.0.CO;2-S	journal	March 2000
Exciplex-Forming Co-host for Organic Light-Emitting Diodes with Ultimate Efficiency Park, Young-Seo; Lee, Sunghun; Kim, Kwon-Hyeon Advanced Functional Materials, Vol. 23, Issue 39 https://doi.org/10.1002/adfm.201300547	journal	May 2013
An Exciplex Forming Host for Highly Efficient Blue Organic Light Emitting Diodes with Low Driving Voltage Lee, Jeong-Hwan; Cheng, Shuo-Hsien; Yoo, Seung-Jun Advanced Functional Materials, Vol. 25, Issue 3 https://doi.org/10.1002/adfm.201402707	journal	October 2014
Blue Phosphorescent Organic Light-Emitting Diodes Using an Exciplex Forming Co-host with the External Quantum Efficiency of Theoretical Limit Shin, Hyun; Lee, Sunghun; Kim, Kwon-Hyeon Advanced Materials, Vol. 26, Issue 27 https://doi.org/10.1002/adma.201400955	journal	May 2014
Theoretical description of charge transport in disordered organic semiconductors: Charge transport in disordered organic semiconductors Baranovskii, S. D. physica status solidi (b), Vol. 251, Issue 3 https://doi.org/10.1002/pssb.201350339	journal	February 2014
Charge Transport in Disordered Organic Photoconductors a Monte Carlo Simulation Study Bässler, H. physica status solidi (b), Vol. 175, Issue 1 https://doi.org/10.1002/pssb.2221750102	journal	January 1993
Electronic Properties of Doped Semiconductors Shklovskii, Boris I.; Efros, Alex L. Springer Series in Solid-State Sciences https://doi.org/10.1007/978-3-662-02403-4	book	January 1984
Preparation of low density polyethylene-based polyaniline conducting polymer composites with low percolation threshold via extrusion Yang, J. P.; Rannou, P.; Planès, J. Synthetic Metals, Vol. 93, Issue 3 https://doi.org/10.1016/S0379-6779(97)04093-9	journal	March 1998
Percolation dominated electron transport in Tetracyanoquinodimethane mixed 4,7-diphenyl-1,10-phenanthroline thin films Grover, Rakhi; Srivastava, Ritu; Kamalasanan, M. N. Organic Electronics, Vol. 13, Issue 12 https://doi.org/10.1016/j.orgel.2012.08.029	journal	December 2012
Percolative charge transport in a co-evaporated organic molecular mixture Li, Chen; Duan, Lian; Li, Haoyuan Organic Electronics, Vol. 14, Issue 12 https://doi.org/10.1016/j.orgel.2013.09.039	journal	December 2013
New Charge Transporting Host Material for Short Wavelength Organic Electrophosphorescence: 2,7-Bis(diphenylphosphine oxide)-9,9-dimethylfluorene Padmaperuma, Asanga B.; Sapochak, Linda S.; Burrows, Paul E. Chemistry of Materials, Vol. 18, Issue 9 https://doi.org/10.1021/cm0600677	journal	May 2006
Multicomponent semiconducting polymer systems with low crystallization-induced percolation threshold Goffri, Shalom; Müller, Christian; Stingelin-Stutzmann, Natalie Nature Materials, Vol. 5, Issue 12 https://doi.org/10.1038/nmat1779	journal	November 2006
Drift mobilities in amorphous charge‐transfer complexes of trinitrofluorenone and poly‐ n ‐vinylcarbazole Gill, W. D. Journal of Applied Physics, Vol. 43, Issue 12 https://doi.org/10.1063/1.1661065	journal	December 1972
Charge carrier mobility of mixed-layer organic light-emitting diodes Liu, Shun-Wei; Lee, Jiun-Haw; Lee, Chih-Chien Applied Physics Letters, Vol. 91, Issue 14 https://doi.org/10.1063/1.2787890	journal	October 2007
Balanced ambipolar charge carrier mobility in mixed layers for application in hybrid white organic light-emitting diodes Schwartz, Gregor; Ke, Tung-Huei; Wu, Chung-Chih Applied Physics Letters, Vol. 93, Issue 7 https://doi.org/10.1063/1.2973151	journal	August 2008
High-efficiency, low-voltage phosphorescent organic light-emitting diode devices with mixed host Kondakova, Marina E.; Pawlik, Thomas D.; Young, Ralph H. Journal of Applied Physics, Vol. 104, Issue 9 https://doi.org/10.1063/1.3000046	journal	November 2008
High efficiency and low roll-off blue phosphorescent organic light-emitting devices using mixed host architecture Chopra, Neetu; Swensen, James S.; Polikarpov, Evgueni Applied Physics Letters, Vol. 97, Issue 3 https://doi.org/10.1063/1.3464969	journal	July 2010
Equilibrium carrier mobility in disordered hopping systems Arkhipov, V. I.; Emelianova, E. V.; Bässler, H. Philosophical Magazine B, Vol. 81, Issue 9 https://doi.org/10.1080/13642810108205785	journal	September 2001
Hole transport in isopropyl carbazole—polycarbonate mixtures Lemus, S. J. Santos; Hirsch, J. Philosophical Magazine B, Vol. 53, Issue 1 https://doi.org/10.1080/13642818608238969	journal	January 1986
Hopping transport in disordered aromatic solids: a re-interpretation of mobility measurements on PKV and TNF Hirsch, J. Journal of Physics C: Solid State Physics, Vol. 12, Issue 2 https://doi.org/10.1088/0022-3719/12/2/020	journal	January 1979
Theoretical tools for the description of charge transport in disordered organic semiconductors Nenashev, A. V.; Oelerich, J. O.; Baranovskii, S. D. Journal of Physics: Condensed Matter, Vol. 27, Issue 9 https://doi.org/10.1088/0953-8984/27/9/093201	journal	February 2015
Impurity Conduction at Low Concentrations Miller, Allen; Abrahams, Elihu Physical Review, Vol. 120, Issue 3 https://doi.org/10.1103/PhysRev.120.745	journal	November 1960
Transport in polyaniline networks near the percolation threshold M., Reghu; Yoon, C. O.; Yang, C. Y. Physical Review B, Vol. 50, Issue 19 https://doi.org/10.1103/PhysRevB.50.13931	journal	November 1994
Electronic conduction in polyaniline-polyethylene oxide and polyaniline-Nafion blends: Relation to morphology and protonation level Sixou, B.; Travers, J. P.; Barthet, C. Physical Review B, Vol. 56, Issue 8 https://doi.org/10.1103/PhysRevB.56.4604	journal	August 1997
Transport properties of polyaniline-cellulose-acetate blends Planès, Jérôme; Wolter, Andreas; Cheguettine, Yasmina Physical Review B, Vol. 58, Issue 12 https://doi.org/10.1103/PhysRevB.58.7774	journal	September 1998
Concentration dependence of the hopping mobility in disordered organic solids Rubel, O.; Baranovskii, S. D.; Thomas, P. Physical Review B, Vol. 69, Issue 1 https://doi.org/10.1103/PhysRevB.69.014206	journal	January 2004
Percolation scaling, inhomogeneity, and defects in polyaniline blends: A 1∕f noise diagnosis Planès, Jérôme; François, Arnaud Physical Review B, Vol. 70, Issue 18 https://doi.org/10.1103/PhysRevB.70.184203	journal	November 2004
Effect of Miscibility and Percolation on Electron Transport in Amorphous Poly(3-Hexylthiophene)/Phenyl- C 61 -Butyric Acid Methyl Ester Blends Vakhshouri, Kiarash; Kozub, Derek R.; Wang, Chenchen Physical Review Letters, Vol. 108, Issue 2 https://doi.org/10.1103/PhysRevLett.108.026601	journal	January 2012
Percolation and Conduction Kirkpatrick, Scott Reviews of Modern Physics, Vol. 45, Issue 4, p. 574-588 https://doi.org/10.1103/RevModPhys.45.574	journal	October 1973
Applications Of Percolation Theory Sahini, M. CRC Press https://doi.org/10.1201/9781482272444	reference-book	January 2014
Hole Transport in Amorphous Films of Poly(N-vinylcarbazole), Copolymers of N-Vinylcarbazole with Styrene, Polystyrene Molecularly-Doped with N-Isopropylcarbazole, and 1,3-Di(N-carbazolyl)propane Itaya, Akira; Okamoto, Ken-ichi; Kusabayashi, Shigekazu Polymer Journal, Vol. 17, Issue 4 https://doi.org/10.1295/polymj.17.557	journal	April 1985

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