From charge transport parameters to charge mobility in organic semiconductors through multiscale simulation.

This review introduces the development and application of a multiscale approach to assess the charge mobility for organic semiconductors, which combines quantum chemistry, Kinetic Monte Carlo (KMC), and molecular dynamics (MD) simulations. This approach is especially applicable in describing a large class of organic semiconductors with intermolecular electronic coupling (V) much less than intramolecular charge reorganization energy (λ), a situation where the band description fails obviously. The charge transport is modeled as successive charge hopping from one molecule to another. We highlight the quantum nuclear tunneling effect in the charge transfer, beyond the semiclassical Marcus theory. Such an effect is essential for interpreting the "paradoxical" experimental finding that optical measurement indicated "local charge" while electrical measurement indicated "bandlike". Coupled MD and KMC simulations demonstrated that the dynamic disorder caused by intermolecular vibration has negligible effect on the carrier mobility. We further apply the approach for molecular design of n-type materials and for rationalization of experimental results. The charge reorganization energy is analyzed through decomposition into internal coordinates relaxation, so that chemical structure contributions to the intramolecular electron-phonon interaction are revealed and give helpful indication to reduce the charge reorganization energy.

[1]  Jeffrey R. Reimers,et al.  A practical method for the use of curvilinear coordinates in calculations of normal-mode-projected displacements and Duschinsky rotation matrices for large molecules , 2001 .

[2]  Alessandro Troisi,et al.  Charge-transport regime of crystalline organic semiconductors: diffusion limited by thermal off-diagonal electronic disorder. , 2006, Physical review letters.

[3]  A. Troisi Dynamic disorder in molecular semiconductors: charge transport in two dimensions. , 2011, The Journal of chemical physics.

[4]  Yi Zhao,et al.  Charge transfer in organic molecules for solar cells: theoretical perspective. , 2012, Chemical Society reviews.

[5]  Tobin J Marks,et al.  Fluorocarbon-modified organic semiconductors: molecular architecture, electronic, and crystal structure tuning of arene- versus fluoroarene-thiophene oligomer thin-film properties. , 2006, Journal of the American Chemical Society.

[6]  C. Castiglioni,et al.  Resistive molecular memories: influence of molecular parameters on the electrical bistability. , 2009, Journal of the American Chemical Society.

[7]  Yi Luo,et al.  Theoretical insights into the charge transport in perylene diimides based n-type organic semiconductors , 2012 .

[8]  David Beljonne,et al.  Interchain Interactions in Organic π‐Conjugated Materials: Impact on Electronic Structure, Optical Response, and Charge Transport , 2001 .

[9]  Y. Nakayama,et al.  Highest-occupied-molecular-orbital band dispersion of rubrene single crystals as observed by angle-resolved ultraviolet photoelectron spectroscopy. , 2010, Physical review letters.

[10]  H. Matsui,et al.  Inkjet printing of single-crystal films , 2011, Nature.

[11]  Mengqiu Long,et al.  First-principles prediction of charge mobility in carbon and organic nanomaterials. , 2012, Nanoscale.

[12]  Zhigang Shuai,et al.  Computational methods for design of organic materials with high charge mobility. , 2010, Chemical Society reviews.

[13]  Jianbin Xu,et al.  The Position of Nitrogen in N‐Heteropentacenes Matters , 2011, Advanced materials.

[14]  Edward F. Valeev,et al.  Effect of electronic polarization on charge-transport parameters in molecular organic semiconductors. , 2006, Journal of the American Chemical Society.

[15]  Jianbin Xu,et al.  A Meaningful Analogue of Pentacene: Charge Transport, Polymorphs, and Electronic Structures of Dihydrodiazapentacene , 2009 .

[16]  Yuan Li,et al.  Symmetry effects on nonlocal electron-phonon coupling in organic semiconductors , 2011, 1112.5088.

[17]  Yi Zhao,et al.  Electron mobilities of n-type organic semiconductors from time-dependent wavepacket diffusion method: pentacenequinone derivatives. , 2012, The journal of physical chemistry. A.

[18]  Zhihua Chen,et al.  High electron mobility in vacuum and ambient for PDIF-CN2 single-crystal transistors. , 2009, Journal of the American Chemical Society.

[19]  Shouke Yan,et al.  Solution-processed, high-performance nanoribbon transistors based on dithioperylene. , 2011, Journal of the American Chemical Society.

[20]  Pa Peter Bobbert,et al.  Ab initio theory of charge-carrier conduction in ultrapure organic crystals , 2004 .

[21]  S. J. van der Molen,et al.  Universal scaling in highly doped conducting polymer films. , 2010, Physical review letters.

[22]  Daoben Zhu,et al.  Fullerene/sulfur-bridged annulene cocrystals: two-dimensional segregated heterojunctions with ambipolar transport properties and photoresponsivity. , 2013, Journal of the American Chemical Society.

[23]  D. Lichtenberger,et al.  Electron Transfer Parameters of Triisopropylsilylethynyl-Substituted Oligoacenes , 2008 .

[24]  T. Holstein,et al.  Studies of polaron motion: Part II. The “small” polaron , 1959 .

[25]  Anna Köhler,et al.  Charge transport in organic semiconductors. , 2012, Topics in current chemistry.

[26]  Yi Liao,et al.  Toward Quantitative Prediction of Charge Mobility in Organic Semiconductors: Tunneling Enabled Hopping Model , 2012, Advanced materials.

[27]  J. Brédas,et al.  Interaction of charge carriers with lattice vibrations in oligoacene crystals from naphthalene to pentacene. , 2010, Journal of the American Chemical Society.

[28]  T. Holstein,et al.  Studies of polaron motion: Part II. The “small” polaron , 1959 .

[29]  D. Emin フォノン関与遷移速度 I 固体中の光‐フォノン関与ホッピング , 1975 .

[30]  Jean-Luc Brédas,et al.  Charge transport in organic semiconductors. , 2007, Chemical reviews.

[31]  William A. Goddard,et al.  Predictions of Hole Mobilities in Oligoacene Organic Semiconductors from Quantum Mechanical Calculations , 2004 .

[32]  Zhenan Bao,et al.  High‐Performance Air‐Stable n‐Type Organic Transistors Based on Core‐Chlorinated Naphthalene Tetracarboxylic Diimides , 2010 .

[33]  Zhihua Chen,et al.  Naphthalenedicarboximide- vs perylenedicarboximide-based copolymers. Synthesis and semiconducting properties in bottom-gate N-channel organic transistors. , 2009, Journal of the American Chemical Society.

[34]  K. Houk,et al.  Nitrogen-rich oligoacenes: candidates for n-channel organic semiconductors. , 2007, Journal of the American Chemical Society.

[35]  D. Beljonne,et al.  Flexible Surface Hopping Approach to Model the Crossover from Hopping to Band-like Transport in Organic Crystals. , 2013, The journal of physical chemistry letters.

[36]  M. Ratner,et al.  Modeling Electron and Hole Transport in Fluoroarene‐Oligothiopene Semiconductors: Investigation of Geometric and Electronic Structure Properties , 2008 .

[37]  Z. Bao,et al.  Correlating carrier type with frontier molecular orbital energy levels in organic thin film transistors of functionalized acene derivatives. , 2009, Journal of the American Chemical Society.

[38]  R. Marcus,et al.  Quantum correction for electron transfer rates. Comparison of polarizable versus nonpolarizable descriptions of solvent , 1993 .

[39]  J. Logan,et al.  Thermal electron transfer reactions in polar solvents , 1974 .

[40]  Liduo Wang,et al.  Study of the Hole and Electron Transport in Amorphous 9,10-Di-(2′-naphthyl)anthracene: The First-Principles Approach , 2013 .

[41]  Electronic transport within a quasi-two-dimensional model for rubrene single-crystal field effect transistors , 2011, 1108.5263.

[42]  G. Filippis,et al.  Transport properties and optical conductivity of the adiabatic Su-Schrieffer-Heeger model: A showcase study for rubrene-based field effect transistors , 2010, 1011.5030.

[43]  D. Bradley,et al.  Fullerene/cobalt porphyrin hybrid nanosheets with ambipolar charge transporting characteristics. , 2012, Journal of the American Chemical Society.

[44]  S. Lin,et al.  Ultrafast Dynamics and Spectroscopy of Bacterial Photosynthetic Reaction Centers , 2002 .

[45]  Jeffrey R. Reimers,et al.  Challenges for the Accurate Simulation of Anisotropic Charge Mobilities through Organic Molecular Crystals: The β Phase of mer-Tris(8-hydroxyquinolinato)aluminum(III) (Alq3) Crystal , 2012 .

[46]  Zhigang Shuai,et al.  Nuclear tunneling effects of charge transport in rubrene, tetracene, and pentacene , 2009 .

[47]  Rudolph A. Marcus,et al.  On the Theory of Oxidation‐Reduction Reactions Involving Electron Transfer. I , 1956 .

[48]  S. Ciuchi,et al.  Band dispersion and electronic lifetimes in crystalline organic semiconductors. , 2011, Physical review letters.

[49]  A. Roitberg,et al.  Nonadiabatic excited-state molecular dynamics: numerical tests of convergence and parameters. , 2012, The Journal of chemical physics.

[50]  Daniel Moses,et al.  Nonlinear transport in semiconducting polymers at high carrier densities. , 2009, Nature materials.

[51]  R. Marcus,et al.  Linear response in theory of electron transfer reactions as an alternative to the molecular harmonic oscillator model , 1999 .

[52]  R. Silbey,et al.  Theory of electronic transport in molecular crystals. II. Zeroth order states incorporating nonlocal linear electron–phonon coupling , 1985 .

[53]  D. Emin,et al.  Phonon-assisted hopping due to interaction with both acoustical and optical phonons , 1977 .

[54]  Wei Xu,et al.  Organic Single Crystal Field‐effect Transistors Based on 6H‐pyrrolo[3,2–b:4,5–b´]bis[1,4]benzothiazine and its Derivatives , 2010, Advanced materials.

[55]  Sven Stafström,et al.  Polaron dynamics in highly ordered molecular crystals , 2006 .

[56]  Tobin J Marks,et al.  Tuning orbital energetics in arylene diimide semiconductors. materials design for ambient stability of n-type charge transport. , 2007, Journal of the American Chemical Society.

[57]  Holger Braunschweig,et al.  High-performance air-stable n-channel organic thin film transistors based on halogenated perylene bisimide semiconductors. , 2009, Journal of the American Chemical Society.

[58]  Z. Su,et al.  An efficient strategy for improving carrier transport performance – Introducing fluorine into aryl substituted tetracene , 2013 .

[59]  Wei Xu,et al.  A Cyclic Triphenylamine Dimer for Organic Field-Effect Transistors with High Performance , 2006 .

[60]  A. Facchetti,et al.  A high-mobility electron-transporting polymer for printed transistors , 2009, Nature.

[61]  Liqiang Li,et al.  An Ultra Closely π‐Stacked Organic Semiconductor for High Performance Field‐Effect Transistors , 2007 .

[62]  Alessandro Troisi,et al.  Charge transport in high mobility molecular semiconductors: classical models and new theories. , 2011, Chemical Society reviews.

[63]  Zhigang Shuai,et al.  Evaluation of Charge Mobility in Organic Materials: From Localized to Delocalized Descriptions at a First‐Principles Level , 2011, Advanced materials.

[64]  J. Brédas,et al.  Characterization of the molecular parameters determining charge transport in anthradithiophene. , 2004, The Journal of chemical physics.

[65]  I. Chao,et al.  Toward the rational design of functionalized pentacenes: reduction of the impact of functionalization on the reorganization energy. , 2006, Chemphyschem : a European journal of chemical physics and physical chemistry.

[66]  R. A. Kuharski,et al.  Role of nuclear tunneling in aqueous ferrous–ferric electron transfer , 1990 .

[67]  John E. Anthony,et al.  Temperature dependence of exciton and charge carrier dynamics in organic thin films , 2011 .

[68]  Oh Kyu Kwon,et al.  Tailor-made highly luminescent and ambipolar transporting organic mixed stacked charge-transfer crystals: an isometric donor-acceptor approach. , 2013, Journal of the American Chemical Society.

[69]  Tobin J Marks,et al.  High-mobility air-stable n-type semiconductors with processing versatility: dicyanoperylene-3,4:9,10-bis(dicarboximides). , 2004, Angewandte Chemie.

[70]  J. Brédas,et al.  Nonlocal electron-phonon coupling in the pentacene crystal: beyond the Γ-point approximation. , 2012, The Journal of chemical physics.

[71]  A. S. Dhoot,et al.  Voltage-induced metal-insulator transition in polythiophene field-effect transistors. , 2006, Physical review letters.

[72]  J. Brédas,et al.  Hole- and electron-vibrational couplings in oligoacene crystals: intramolecular contributions. , 2002, Physical review letters.

[73]  J. Brédas,et al.  Intrinsic charge transport in single crystals of organic molecular semiconductors: A theoretical perspective , 2013 .

[74]  J. P. Calbert,et al.  Organic semiconductors: A theoretical characterization of the basic parameters governing charge transport , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[75]  Zhigang Shuai,et al.  Influences of Crystal Structures and Molecular Sizes on the Charge Mobility of Organic Semiconductors: Oligothiophenes , 2008 .

[76]  Alexander Lukyanov,et al.  Microscopic Simulations of Charge Transport in Disordered Organic Semiconductors , 2011, Journal of chemical theory and computation.

[77]  D. Emin Phonon-assisted transition rates I. Optical-phonon-assisted hopping in solids , 1975 .

[78]  P. Blom,et al.  Polaron hopping mediated by nuclear tunnelling in semiconducting polymers at high carrier density , 2013, Nature Communications.

[79]  Z. Shuai,et al.  Roles of inter- and intramolecular vibrations and band-hopping crossover in the charge transport in naphthalene crystal. , 2007, The Journal of chemical physics.

[80]  Lin-wang Wang,et al.  Nonadiabatic molecular dynamics simulation for carrier transport in a pentathiophene butyric acid monolayer , 2013 .

[81]  Zhihua Chen,et al.  Band-like electron transport in organic transistors and implication of the molecular structure for performance optimization. , 2012, Advanced materials.

[82]  Qiang Shi,et al.  Multiscale study of charge mobility of organic semiconductor with dynamic disorders. , 2010, Physical chemistry chemical physics : PCCP.

[83]  A. Dodabalapur,et al.  A soluble and air-stable organic semiconductor with high electron mobility , 2000, Nature.

[84]  Wei Xu,et al.  From electronic excited state theory to the property predictions of organic optoelectronic materials , 2013, Science China Chemistry.

[85]  H. Sirringhaus,et al.  Measurement of molecular motion in organic semiconductors by thermal diffuse electron scattering. , 2013, Nature materials.

[86]  Henning Sirringhaus,et al.  Band-like temperature dependence of mobility in a solution-processed organic semiconductor. , 2010, Nature materials.

[87]  J. Brédas,et al.  Chain‐Length Dependence of Singlet and Triplet Exciton Formation Rates in Organic Light‐Emitting Diodes , 2004 .

[88]  Ji-Kang Feng,et al.  Theoretical investigation of charge injection and transport properties of novel organic semiconductor materials—cyclic oligothiophenes , 2011 .

[89]  Ming-Yu Kuo,et al.  Cyanation: providing a three-in-one advantage for the design of n-type organic field-effect transistors. , 2007, Chemistry.

[90]  Sankar Subramanian,et al.  Chromophore fluorination enhances crystallization and stability of soluble anthradithiophene semiconductors. , 2008, Journal of the American Chemical Society.

[91]  Lingchun Song,et al.  On the Interfragment Exchange in the X-Pol Method. , 2010, Journal of chemical theory and computation.

[92]  Yi Liao,et al.  Fascinating effect of dehydrogenation on the transport properties of N-heteropentacenes: transformation from p- to n-type semiconductor , 2012 .

[93]  E. Venuti,et al.  Peierls and Holstein carrier-phonon coupling in crystalline rubrene , 2010 .

[94]  Jean-Luc Brédas,et al.  Transport Properties in the Rubrene Crystal: Electronic Coupling and Vibrational Reorganization Energy , 2005 .

[95]  Yingli Niu,et al.  Theoretical study of substitution effects on molecular reorganization energy in organic semiconductors. , 2011, The Journal of chemical physics.

[96]  Xian-Kai Chen,et al.  A Promising Approach to Obtain Excellent n-Type Organic Field-Effect Transistors: Introducing Pyrazine Ring , 2011 .

[97]  Alán Aspuru-Guzik,et al.  From computational discovery to experimental characterization of a high hole mobility organic crystal , 2011, Nature communications.