cross-conjugated polymers; density functional theory; molecular dielectric material; nonequilibrium quantum transport; quantum interference; Bonding configurations; Dielectric behavior; Dielectric response; Electronic structure theory; Molecular dimensions; Molecular materials; Quantum transport; Materials Science (all); Engineering (all); Physics and Astronomy (all); General Physics and Astronomy; General Engineering; General Materials Science
Abstract :
[en] We investigate the relationship between dielectric response and charge transport in molecule-based materials operating in the quantum coherent regime. We find that quantum interference affects these observables differently, for instance, allowing current passing through certain materials to be reduced by orders of magnitude without affecting dielectric behavior (or band gap). As an example, we utilize ab initio electronic structure theory to calculate conductance and dielectric constants of cross-conjugated anthraquinone (AQ)-based and linearly conjugated anthracene (AC)-based materials. In spite of having nearly equal fundamental gaps, electrode bonding configurations, and molecular dimensions, we find a ∼1.7 order of magnitude (∼50-fold) reduction in the conductance of the AQ-based material relative to the AC-based material, a value in close agreement with recent measurements, while the calculated dielectric constants of both materials are nearly identical. From these findings, we propose two molecular materials in which quantum interference is used to reduce leakage currents across a ∼25 Å monolayer gap with dielectric constants larger than 4.5.
Disciplines :
Chemistry
Author, co-author :
Bergfield, Justin P; †Department of Chemistry and the Materials Research Center, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208, United States
Heitzer, Henry M; †Department of Chemistry and the Materials Research Center, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208, United States
Van Dyck, Colin ; Université de Mons - UMONS > Faculté des Sciences > Service Chimie Physique Théorique
Marks, Tobin J; †Department of Chemistry and the Materials Research Center, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208, United States
Ratner, Mark A; †Department of Chemistry and the Materials Research Center, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60208, United States
Language :
English
Title :
Harnessing Quantum Interference in Molecular Dielectric Materials.
International Technology Roadmap for Semiconductors: 2013, Edition. http://public.itrs.net.
Facchetti, A.; Yoon, M. H.; Marks, T. J. Gate Dielectrics for Organic Field Effect Transistors: New Opportunities for Organic Electronics Adv. Mater. 2005, 17, 1705-1725
Heitzer, H. M.; Marks, T. J.; Ratner, M. A. First-Principles Calculation of Dielectric Response in Molecule-Based Materials J. Am. Chem. Soc. 2013, 135, 9753-9759
Marks, T. J. Materials for Organic and Hybrid Inorganic/Organic Electronics MRS Bull. 2010, 35, 1018-1027
Brothers, E. N.; Scuseria, G. E.; Kudin, K. N. Longitudinal Polarizability of Carbon Nanotubes J. Phys. Chem. B 2006, 110, 12860-12864
Sonmez, G.; Meng, H.; Wudl, F. Very Stable Low Band Gap Polymer for Charge Storage Purposes and Near-Infrared Applications Chem. Mater. 2003, 15, 4923-4929
Yu, Y. H.; Lee, S. C.; Yang, C. S.; Choi, C. K.; Jung, W. K. Mobility, Energy Gap and Dielectric Constant in Sioc Films J. Korean Chem. Soc. 2003, 42, 682-685
Penn, D. R. Wave-Number-Dependent Dielectric Function of Semiconductors Phys. Rev. 1962, 128, 2093
Markussen, T.; Thygesen, K. S. Temperature Effects on Quantum Interference in Molecular Junctions Phys. Rev. B 2014, 89, 085420-085420
Kocherzhenko, A.; Siebbeles, L. D.; Grozema, F. C. Charge Transfer through Molecules with Multiple Pathways: Quantum Interference and Dephasing J. Phys. Chem. C 2010, 114, 7973-7979
Baer, R.; Neuhauser, D. Phase Coherent Electronics: A Molecular Switch Based on Quantum Interference J. Am. Chem. Soc. 2002, 124, 4200-4201
Markussen, T.; Stadler, R.; Thygesen, K. S. The Relation between Structure and Quantum Interference in Single Molecule Junctions Nano Lett. 2010, 10, 4260-4265
Sautet, P.; Joachim, C. Electronic Interference Produced by a Benzene Embedded in a Polyacetylene Chain Chem. Phys. Lett. 1988, 153, 511-516
Hansen, T.; Solomon, G. C.; Andrews, D. Q.; Ratner, M. Interfering Pathways in Benzene: An Analytical Treatment J. Chem. Phys. 2009, 131, 194704-194704
Bergfield, J. P.; Jacquod, P.; Stafford, C. A. Coherent Destruction of Coulomb Blockade Peaks in Molecular Junctions Phys. Rev. B 2010, 82, 205405
Aradhya, S. V.; Meisner, J. S.; Krikorian, M.; Ahn, S.; Parameswaran, R.; Steigerwald, M. L.; Nuckolls, C.; Venkataraman, L. Dissecting Contact Mechanics from Quantum Interference in Single-Molecule Junctions of Stilbene Derivatives Nano Lett. 2012, 12, 1643-1647
Cardamone, D. M.; Stafford, C. A.; Mazumdar, S. Controlling Quantum Transport through a Single Molecule Nano Lett. 2006, 6, 2422-2426
Guedon, C. M.; Valkenier, H.; Markussen, T.; Thygesen, K. S.; Hummelen, J. C.; van der Molen, S. J. Observation of Quantum Interference in Molecular Charge Transport Nat. Nanotechnol. 2012, 7, 305-309
Bergfield, J. P.; Solomon, G. C.; Stafford, C. a.; Ratner, M. a. Novel Quantum Interference Effects in Transport through Molecular Radicals Nano Lett. 2011, 11, 2759-2764
Solomon, G. C.; Andrews, D. Q.; Goldsmith, R. H.; Hansen, T.; Wasielewski, M. R.; Van Duyne, R. P.; Ratner, M. A. Quantum Interference in Acyclic Systems: Conductance of Cross-Conjugated Molecules J. Am. Chem. Soc. 2008, 130, 17301-17308
Ke, S.-H.; Yang, W.; Baranger, H. U. Quantum-Interference-Controlled Molecular Electronics Nano Lett. 2008, 8, 3257-3261
Bergfield, J. P.; Stafford, C. A. Thermoelectric Signatures of Coherent Transport in Single-Molecule Heterojunctions Nano Lett. 2009, 9, 3072-3067
Sautet, P.; Joachim, C. Are Electronic Interference Effects Important for STM Imaging of Substrates and Adsorbates?: A Theoretical Analysis Ultramicroscopy 1992, 44, 115-121
Ballmann, S.; Hartle, R.; Coto, P.; Elbing, M.; Mayor, M.; Bryce, M.; Thoss, M.; Weber, H. Experimental Evidence for Quantum Interference and Vibrationally Induced Decoherence in Single-Molecule Junctions Phys. Rev. Lett. 2012, 109, 1-5
Datta, S. Electronic Transport in Mesoscopic Systems; Cambridge University Press: Cambridge, U.K., 1995.
Mahan, G. D. Many-Particle Physics; Plenum Press: New York, 1990.
Negele, J. W.; Orland, H. Quantum Many-Particle Systems; Advanced Book Classics; Addison-Wesley Pub. Co.: Redwood City, CA, 1998; pp 474-474.
Mattuck, R. D. A Guide to Feynman Diagrams in the Many-Body Problem; Dover Publications, Inc.: New York, 1992.
Bruus, H.; Flensberg, K. Many-Body Quantum Theory in Condensed Matter Physics: An Introduction; Oxford University Press: Oxford, U.K., 2002.
Buttiker, M. Four-Terminal Phase-Coherent Conductance Phys. Rev. Lett. 1986, 57, 1761
Imry, Y.; Landauer, R. Conductance Viewed as Transmission Rev. Mod. Phys. 1999, 71, S306-S312
Fisher, D. S.; Lee, P. A. Relation between Conductivity and Transmission Matrix Phys. Rev. B 1981, 23, 6851-6854
Yeyati, A. L.; Buttiker, M. Scattering Phases in Quantum Dots: An Analysis Based on Lattice Models Phys. Rev. B 2000, 62, 7307
Brandbyge, M.; Tsukada, M. Local Density of States from Transmission Amplitudes in Multichannel Systems Phys. Rev. B 1998, 57, R15088
Taniguchi, T.; Buttiker, M. Friedel Phases and Phases of Transmission Amplitudes in Quantum Scattering Systems Phys. Rev. B 1999, 60, 13814-13823
Phelan, N. F.; Orchin, M. Cross Conjugation J. Chem. Educ. 1968, 45, 633
Limacher, P. A.; Luthi, H. P. Cross-Conjugation Wiley Interdiscip. Rev.: Comput. Mol. Sci. 2011, 1, 477-486
Solomon, G. C.; Bergfield, J. P.; Stafford, C. A.; Ratner, M. A. When Small Terms Matter: Coupled Interference Features in the Transport Properties of Cross-Conjugated Molecules Beilstein J. Nanotechnol. 2011, 2, 862-871
Solomon, G. C.; Andrews, D. Q.; Van Duyne, R. P.; Ratner, M. A. Electron Transport through Conjugated Molecules: When the Pi-System Only Tells Part of the Story ChemPhysChem 2009, 10, 257-264
Van Dyck, C.; Geskin, V.; Cornil, J. Fermi Level Pinning and Orbital Polarization Effects in Molecular Junctions: The Role of Metal Induced Gap States Adv. Funct. Mater. 2014, 24, 6154-6165
Kim, B.; Ho Choi, S.; Zhu, X.-Y.; Frisbie, D. C. Molecular Tunnel Junctions Based on Pi-Conjugated Oligoacene Thiols and Dithiols between Ag, Au, and Pt Contacts: Effect of Surface Linking Group and Metal Work Function J. Am. Chem. Soc. 2011, 49, 19864-19877
Kanis, D. R.; Ratner, M. A.; Marks, T. J. Design and Construction of Molecular Assemblies with Large Second-Order Optical Nonlinearities. Quantum Chemical Aspects Chem. Rev. 1994, 94, 195-242
Brown, E. C.; Marks, T. J.; Ratner, M. A. Nonlinear Response Properties of Ultralarge Hyperpolarizability Twisted Pi-System Donor-Acceptor Chromophores. Dramatic Environmental Effects on Response J. Phys. Chem. B 2008, 112, 44-50
Nitzan, A. Electron Transmission through Molecules and Molecular Interfaces Annu. Rev. Phys. Chem. 2001, 52, 681-750
Nitzan, A.; Ratner, M. A. Electron Transport in Molecular Wire Junctions Science 2003, 300, 1384-1389
Becke, A. D. Density Functional Thermochemistry. III. The Role of Exact Exchange J. Chem. Phys. 1993, 98, 5648-5652
Lee, C.; Yang, W.; Parr, R. G. Development of the Colle-Salvetti Correlation-Energy Formula into a Functional of the Electron Density Phys. Rev. B 1988, 37, 785-789
Valiev, M.; Bylaska, E. J.; Govind, N.; Kowalski, K.; Straatsma, T. P.; Van Dam, H. J. J.; Wang, D.; Nieplocha, J.; Apra, E.; Windus, T. L. Nwchem: A Comprehensive and Scalable Open-Source Solution for Large Scale Molecular Simulations Comput. Phys. Commun. 2010, 181, 1477-1489
Taylor, J.; Guo, H.; Wang, J. Ab Initio Modeling of Quantum Transport Properties of Molecular Electronic Devices Phys. Rev. B 2001, 63, 245407
Brandbyge, M.; Mozos, J.-L.; Ordejon, P.; Taylor, J.; Stokbro, K. Density-Functional Method for Nonequilibrium Electron Transport Phys. Rev. B 2002, 65, 165401
Perdew, J. P.; Burke, K.; Ernzerhof, M. Generalized Gradient Approximation Made Simple Phys. Rev. Lett. 1996, 77, 3865-3868
Zhang, Y.; Yang, W. Comment on a Generalized Gradient Approximation Made Simple Phys. Rev. Lett. 1998, 80, 890-890
Junquera, J.; Paz, O.; Sanchez-Portal, D.; Artacho, E. Numerical Atomic Orbitals for Linear-Scaling Calculations Phys. Rev. B 2001, 64, 235111
Yu, L.; Ranjan, V.; Nardelli, M. B.; Bernholc, J. First-Principles Investigations of the Dielectric Properties of Polypropylene/Metal-Oxide Interfaces Phys. Rev. B 2009, 80, 165432
Giannozzi, P.; Baroni, S.; Bonini, N.; Calandra, M.; Car, R.; Cavazzoni, C.; Ceresoli, D.; Chiarotti, G. L.; Cococcioni, M.; Dabo, I. Quantum Espresso: A Modular and Open-Source Software Project for Quantum Simulations of Materials J. Phys.: Condens. Matter 2009, 21, 395502