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Fu B, Hsu LY. Photoinduced anomalous Coulomb blockade and the role of triplet states in electron transport through an irradiated molecular transistor. II. Effects of electron-phonon coupling and vibrational relaxation. J Chem Phys 2019. [DOI: 10.1063/1.5112095] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/12/2022] Open
Affiliation(s)
- Bo Fu
- Department of Physics and Astronomy, Northwestern University, 2145 Sheridan Road, Evanston, Illinois 60201, USA
| | - Liang-Yan Hsu
- Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 10617, Taiwan
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2
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Fu B, Mosquera MA, Schatz GC, Ratner MA, Hsu LY. Photoinduced Anomalous Coulomb Blockade and the Role of Triplet States in Electron Transport through an Irradiated Molecular Transistor. NANO LETTERS 2018; 18:5015-5023. [PMID: 29995424 DOI: 10.1021/acs.nanolett.8b01838] [Citation(s) in RCA: 6] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/08/2023]
Abstract
In this study, we explore photoinduced electron transport through a molecule weakly coupled to two electrodes by combining first-principles quantum chemistry calculations with a Pauli master equation approach that accounts for many-electron states. In the incoherent limit, we demonstrate that energy-level alignment of triplet and charged states plays a crucial role, even when the rate of intersystem crossing is much smaller than the rate of fluorescence. Furthermore, the field intensity dependence and an upper bound to the photoinduced electric current can be analytically derived in our model. Under an optical field, the conductance spectra (charge stability diagrams) exhibit unusual Coulomb diamonds, which are associated with molecular excited states, and their widths can be expressed in terms of energies of the molecular electronic states. This study offers new directions for exploring optoelectronic response in nanoelectronics.
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Affiliation(s)
| | | | | | | | - Liang-Yan Hsu
- Institute of Atomic and Molecular Sciences , Academia Sinica , Taipei 10617 , Taiwan
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3
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Jiang Y. Quantum interference in multi-branched molecules: The exact transfer matrix solutions. J Chem Phys 2017; 147:214115. [PMID: 29221391 DOI: 10.1063/1.4989872] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/23/2023] Open
Abstract
We present a transfer matrix formalism for studying quantum interference in a single molecule electronic system with internal branched structures. Based on the Schrödinger equation with the Bethe ansatz and employing Kirchhoff's rule for quantum wires, we derive a general closed-form expression for the transmission and reflection amplitudes of a two-port quantum network. We show that the transport through a molecule with complex internal structures can be reduced to that of a single two-port scattering unit, which contains all the information of the original composite molecule. Our method allows for the calculation of the transmission coefficient for various types of individual molecular modules giving rise to different resonant transport behaviors such as the Breit-Wigner, Fano, and Mach-Zehnder resonances. As an illustration, we first re-derive the transmittance of the Aharonov-Bohm ring, and then we apply our formulation to N identical parity-time (PT)-symmetric potentials, connected in series as well as in parallel. It is shown that the spectral singularities and PT-symmetric transitions of single scattering cells may be observed in coupled systems. Such transitions may occur at the same or distinct values of the critical parameters, depending on the connection modes under which the scattering objects are coupled.
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Affiliation(s)
- Yu Jiang
- Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, A. P. 55-534, 09340 México D.F., Mexico
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4
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Zelovich T, Hansen T, Liu ZF, Neaton JB, Kronik L, Hod O. Parameter-free driven Liouville-von Neumann approach for time-dependent electronic transport simulations in open quantum systems. J Chem Phys 2017. [DOI: 10.1063/1.4976731] [Citation(s) in RCA: 33] [Impact Index Per Article: 4.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/04/2023] Open
Affiliation(s)
- Tamar Zelovich
- Department of Physical Chemistry, School of Chemistry, The Raymond and Beverly Sackler Faculty of Exact Sciences and The Sackler Center for Computational Molecular and Materials Science, Tel Aviv University, Tel Aviv 6997801, Israel
| | - Thorsten Hansen
- Department of Chemistry, Copenhagen University, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark
| | - Zhen-Fei Liu
- Department of Physics, University of California, Berkeley, Berkeley, California 94720-7300, USA
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
- Molecular Foundry, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
| | - Jeffrey B. Neaton
- Department of Physics, University of California, Berkeley, Berkeley, California 94720-7300, USA
- Materials Sciences Division, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
- Molecular Foundry, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA
- Kavli Energy NanoSciences Institute, Berkeley, California 94720, USA
| | - Leeor Kronik
- Department of Materials and Interfaces, Weizmann Institute of Science, Rehovoth 76100, Israel
| | - Oded Hod
- Department of Physical Chemistry, School of Chemistry, The Raymond and Beverly Sackler Faculty of Exact Sciences and The Sackler Center for Computational Molecular and Materials Science, Tel Aviv University, Tel Aviv 6997801, Israel
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5
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Galperin M. Photonics and spectroscopy in nanojunctions: a theoretical insight. Chem Soc Rev 2017; 46:4000-4019. [DOI: 10.1039/c7cs00067g] [Citation(s) in RCA: 36] [Impact Index Per Article: 5.1] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/20/2022]
Abstract
Green function methods for photonics and spectroscopy in nanojunctions.
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Affiliation(s)
- Michael Galperin
- Department of Chemistry & Biochemistry
- University of California San Diego
- La Jolla
- USA
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6
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Hsu LY, Rabitz H. Theory of molecular conductance using a modular approach. J Chem Phys 2016; 145:234702. [DOI: 10.1063/1.4972131] [Citation(s) in RCA: 12] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Affiliation(s)
- Liang-Yan Hsu
- Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA
| | - Herschel Rabitz
- Department of Chemistry, Princeton University, Princeton, New Jersey 08544, USA
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7
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Ponce J, Aragó J, Vayá I, Magenti JG, Tatay S, Ortí E, Coronado E. Photophysical Properties of Oligo(phenylene ethynylene) Iridium(III) Complexes Functionalized with Metal-Anchoring Groups. Eur J Inorg Chem 2016. [DOI: 10.1002/ejic.201501409] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/22/2022]
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8
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Hsu LY, Wu N, Rabitz H. Conductance and activation energy for electron transport in series and parallel intramolecular circuits. Phys Chem Chem Phys 2016; 18:32087-32095. [DOI: 10.1039/c6cp06362d] [Citation(s) in RCA: 10] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
We investigate electron transport through series and parallel intramolecular circuits in the framework of the multi-level Redfield theory.
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Affiliation(s)
- Liang-Yan Hsu
- Department of Chemistry
- Princeton University
- Princeton
- USA
| | - Ning Wu
- Department of Chemistry
- Princeton University
- Princeton
- USA
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9
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Sheu YL, Wu HT, Hsu LY. Exploring laser-driven quantum phenomena from a time-frequency analysis perspective: a comprehensive study. OPTICS EXPRESS 2015; 23:30459-30482. [PMID: 26698525 DOI: 10.1364/oe.23.030459] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/05/2023]
Abstract
Time-frequency (TF) analysis is a powerful tool for exploring ultrafast dynamics in atoms and molecules. While some TF methods have demonstrated their usefulness and potential in several quantum systems, a systematic comparison among them is still lacking. To this end, we compare a series of classical and contemporary TF methods by taking hydrogen atom in a strong laser field as a benchmark. In addition, several TF methods such as Cohen class distribution other than the Wigner-Ville distribution, reassignment methods, and the empirical mode decomposition method are first introduced to exploration of ultrafast dynamics. Among these TF methods, the synchrosqueezing transform successfully illustrates the physical mechanisms in the multiphoton ionization regime and in the tunneling ionization regime. Furthermore, an empirical procedure to analyze an unknown complicated quantum system is provided, suggesting the versatility of TF analysis as a new viable venue for exploring quantum dynamics.
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10
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Liao KC, Hsu LY, Bowers CM, Rabitz H, Whitesides GM. Molecular series-tunneling junctions. J Am Chem Soc 2015; 137:5948-54. [PMID: 25871745 DOI: 10.1021/jacs.5b00448] [Citation(s) in RCA: 24] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Charge transport through junctions consisting of insulating molecular units is a quantum phenomenon that cannot be described adequately by classical circuit laws. This paper explores tunneling current densities in self-assembled monolayer (SAM)-based junctions with the structure Ag(TS)/O2C-R1-R2-H//Ga2O3/EGaIn, where Ag(TS) is template-stripped silver and EGaIn is the eutectic alloy of gallium and indium; R1 and R2 refer to two classes of insulating molecular units-(CH2)n and (C6H4)m-that are connected in series and have different tunneling decay constants in the Simmons equation. These junctions can be analyzed as a form of series-tunneling junctions based on the observation that permuting the order of R1 and R2 in the junction does not alter the overall rate of charge transport. By using the Ag/O2C interface, this system decouples the highest occupied molecular orbital (HOMO, which is localized on the carboxylate group) from strong interactions with the R1 and R2 units. The differences in rates of tunneling are thus determined by the electronic structure of the groups R1 and R2; these differences are not influenced by the order of R1 and R2 in the SAM. In an electrical potential model that rationalizes this observation, R1 and R2 contribute independently to the height of the barrier. This model explicitly assumes that contributions to rates of tunneling from the Ag(TS)/O2C and H//Ga2O3 interfaces are constant across the series examined. The current density of these series-tunneling junctions can be described by J(V) = J0(V) exp(-β1d1 - β2d2), where J(V) is the current density (A/cm(2)) at applied voltage V and βi and di are the parameters describing the attenuation of the tunneling current through a rectangular tunneling barrier, with width d and a height related to the attenuation factor β.
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Affiliation(s)
- Kung-Ching Liao
- †Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, Massachusetts 02138, United States
| | - Liang-Yan Hsu
- ‡Department of Chemistry, Princeton University, Princeton, New Jersey 08544, United States
| | - Carleen M Bowers
- †Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, Massachusetts 02138, United States
| | - Herschel Rabitz
- ‡Department of Chemistry, Princeton University, Princeton, New Jersey 08544, United States
| | - George M Whitesides
- †Department of Chemistry and Chemical Biology, Harvard University, 12 Oxford Street, Cambridge, Massachusetts 02138, United States.,§Wyss Institute for Biologically Inspired Engineering, Harvard University, 60 Oxford Street, Cambridge, Massachusetts 02138, United States
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11
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Hsu LY, Rabitz H. Coherent light-driven electron transport through polycyclic aromatic hydrocarbon: laser frequency, field intensity, and polarization angle dependence. Phys Chem Chem Phys 2015. [DOI: 10.1039/c5cp02663f] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
Abstract
Laser frequency, field intensity, and polarization angle dependence of photon assisted tunneling in molecular junctions.
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Affiliation(s)
- Liang-Yan Hsu
- Department of Chemistry
- Princeton University
- Princeton
- USA
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12
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Reuter MG, Hansen T. Communication: Finding destructive interference features in molecular transport junctions. J Chem Phys 2014; 141:181103. [DOI: 10.1063/1.4901722] [Citation(s) in RCA: 27] [Impact Index Per Article: 2.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Affiliation(s)
- Matthew G. Reuter
- Department of Chemistry, Northwestern University, Evanston, Illinois 60208, USA
| | - Thorsten Hansen
- Department of Chemistry, H. C. Ørsted Institute, University of Copenhagen, DK 2100 Copenhagen, Denmark
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