Abstract
Atomic-scale control of photochemistry facilitates extreme miniaturisation of optoelectronic devices. Localised surface plasmons, which provide strong confinement and enhancement of electromagnetic fields at the nanoscale, secure a route to achieve sub-nanoscale reaction control. Such local plasmon-induced photochemistry has been realised only in metallic structures so far. Here we demonstrate controlled plasmon-induced single-molecule switching of peryleneanhydride on a silicon surface. Using a plasmon-resonant tip in low-temperature scanning tunnelling microscopy, we can selectively induce the dissociation of the O–Si bonds between the molecule and surface, resulting in reversible switching between two configurations within the nanojunction. The switching rate can be controlled by changing the tip height with 0.1-Å precision. Furthermore, the plasmon-induced reactivity can be modified by chemical substitution within the molecule, suggesting the importance of atomic-level design for plasmon-driven optoelectronic devices. Thus, metal–single-molecule–semiconductor junctions may serve as a prominent controllable platform beyond conventional nano-optoelectronics.
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Introduction
Nano-optoelectronics represents a fascinating intersection of chemistry, physics, and engineering, focusing on the manipulation of optical and electrical properties at the nanoscale1. This field leverages the optoelectronic properties of individual molecules to develop nanoscale functional devices for a variety of applications, including sensors, light-emitting diodes and photovoltaic cells. As one elementary indispensable function, single-molecule photoswitching, whereby the geometry and/or electronic conductance of the molecular junction can be reversibly switched by optical stimuli, has been intensively studied2,3,4. Conventional molecular photoswitches, however, frequently rely on photochromic molecules, such as azobenzene derivatives5 and spiropyran derivatives6, in contact with electrodes. Exploring molecule-based devices beyond material limitations should enhance functionality and flexibility further.
Localised surface plasmon (LSP) plays a key role in creating optoelectronic devices without chromophores. LSP-resonant nanojunctions can boost photochemical reactions, in some cases enabling distinct reaction pathways that are inaccessible via far-field excitation7,8. Scanning tunnelling microscopy (STM) combined with laser excitation has allowed the characterisation of plasmon-induced reactions in real space9,10,11,12,13, and recently achieved controlled photochemistry at the submolecular scale14,15. The LSP in the nanojunction and its control by STM would be utilised for accessing and controlling optoelectronic properties at the atomic scale.
Here we propose metal–molecule–semiconductor junctions as a versatile platform for single-molecule optoelectronics based on LSP-induced chemical reactions. Previous optoelectronic studies for metal–molecule–semiconductor nanojunctions have focused on the photovoltaic effect under far-field irradiation16,17, but plasmon-mediated chemical reactions on semiconductors have not been characterised. Unlike a metal–metal nanojunction, where a gap-mode plasmon with a large electromagnetic field can be excited8, a nonplasmonic semiconductor substrate, such as a silicon (Si) surface, is expected to yield smaller field enhancement. Overcoming this challenge, given the substantial variety of functional molecule–semiconductor systems18,19,20,21,22,23,24,25, expanding plasmon-driven processes to a semiconductor platform is highly motivating and promises miniaturisation of optoelectronic devices and acquisition of novel functions due to effective light–matter interactions26.
As a demonstration, we show single-molecule switching of perylene-3,4,9,10-tetracarboxylic dianhydride (PTCDA) and its derivatives incorporated in the nanojunction consisting of a plasmonic Ag tip and a non-plasmonic Si(111)-7 × 7 reconstructed surface. The adsorption of PTCDA on the semiconductor surface has been well characterised27,28 because of its potential interest for molecule-based electronics29. We employ a specifically designed low-temperature STM that enables a precise focusing of laser onto the tip apex and an efficient collection of tip-enhanced Raman scattering (TERS) signals30. For better control of the plasmon properties, we fabricate sharp Ag tips using a focused ion beam (FIB)11,30. When the single-molecule junction is illuminated at the LSP-resonant wavelength, the dissociation of chemical bonds between Si atoms of the surface and acyl groups of the molecule is induced, leading to switching through the reversible formation/dissociation of an atomic point contact between the tip and the molecule (Fig. 1a). No intramolecular reaction occurs in PTCDA, unlike the conventional molecular photoswitches which operate through the reactions of photochromic moieties5,6; nevertheless, the reversible formation and dissociation of the molecule–electrode interactions allow the system to be classified as a single-molecule switch31,32,33,34,35,36,37. The plasmonic properties and three-dimensional positioning of the Ag tip determine the reactivity of the junction, enabling selective switching of the target moiety of the single molecule. Our demonstration of the atomic-scale photoswitching control possibly propels us into further miniaturisation of conventional nano-optoelectronics.
Results and discussion
Characterisation of PTCDA/Si(111) and molecular switching
Individual PTCDA molecules adsorb at the corner hole site of the Si(111)-7 × 7 surfaces, forming a bridging structure with four O–Si bonds between the acyl O atoms and Si adatoms adjacent to the corner hole27,28. With STM at positive sample bias (Vbias > 0), the single molecule is imaged as a four-petal-shaped protrusion (Fig. 1d), where two darker (brighter) petals correspond to the long (short) side of the rectangular molecule27. Our density functional theory (DFT) calculations revealed that the molecule remains nearly flat (Fig. 1e, f), unlike a convex structure predicted previously28 (see Supplementary Note 1 and Supplementary Fig. 1).
Plasmon-induced switching occurs when a plasmonic Ag tip under laser irradiation approaches the PTCDA molecule. The switching is manifested as a two-state telegraph noise of the STM current (jSTM) (Fig. 1b), indicating a reversible reaction of the molecule. Single-molecule junctions can be further characterised by vibrational spectroscopy recorded simultaneously with conductance measurements38,39,40,41. As shown in Fig. 1c (see Supplementary Note 2 and Supplementary Fig. 2 for measurement details), the intense Raman peaks originating from PTCDA are observed at the high conductance state (namely, ON state), while no molecular peaks appear at the low conductance (OFF) state. Note that the peak at 520 cm−1 corresponds to the optical phonon mode of the bulk Si42,43. It has been previously shown that the TERS intensity is largely enhanced by the point-contact formation between a plasmonic tip and a single adatom or molecule on surfaces42,44,45. Therefore, we assign the high conductance state to a point-contact configuration, as depicted in Fig. 1a, where the O–Si bonds of one of the two anhydride groups of the molecule are broken and the dissociated half is lifted. The tip-height dependence of the junction conductance supports the assignment of the ON state geometry, as described in the next subsection.
Tip-height dependence of the switching activity: 0.1-Å order control
The switching is activated in a particular range of tip–molecule gap distance (d) and we categorise d ranges into Zones I (tip far) to III (tip close) (Fig. 2a), based on the characteristic behaviour of the jSTM (Fig. 2b) and TERS spectra (Fig. 2d–h) recorded simultaneously. This measurement was conducted at 10 K to eliminate thermal drift effects, but the same Zone behaviours were observed at 78 K (Supplementary Fig. 3). The forward (tip approach) and backward (tip retraction) traces show the same tip-height dependence, indicating that the Ag–PCTDA–Si junction acts reversibly and the process was not destructive. Note that the switching event is not coincidental but well reproducible; once we found the proper tip conditions, we could repeatedly obtain switching features until the junction deformed (see also Supplementary Note 3 for details).
In Zones I and III, jSTM increases exponentially as the tip approaches the molecule (blue ribbon in Fig. 2b), indicating that no configurational changes or chemical reactions are involved. In addition, the absence of the TERS peaks in these Zones (Fig. 2d, f, and h) suggests that the molecule remains in the OFF state. In contrast, in Zone II, jSTM shows the telegraph noise (Fig. 2b) and the TERS peaks appear (Fig. 2e, g). In the high-conductance state (ON state), the measured current does not vary with the tip-sample distance (red ribbon in Fig. 2b). The invariant conductance across different tip heights indicates the formation of point contact between the tip and the molecule44, consistent with the assignment by TERS described above.
The ON-state occupation derived from the telegraph noise of jSTM shows sensitive d dependence (purple dotted curve in Fig. 2c), which indicates that a change in tip height affects the relative stability between the OFF and ON states. In other words, the ratio between the forward and backward reaction rates can be adjusted by changes with 0.1-Å-order precision in d (see also Supplementary Fig. 4). The d dependence of the ON-state occupation is in good agreement with that of the TERS intensity (black solid curve in Fig. 2c). This is consistent with the ON- and OFF-state TERS spectra shown in Fig. 1c because only the ON state of the switching molecule during the signal accumulation time (3 s) contributes to the TERS intensity. We also confirm that when the tip approaches further than Zone III and contacts the OFF-state molecule (d = 0; namely, Zone IV), the TERS signals of the OFF state are detected (Supplementary Fig. 3). The spectral features differ from those of the ON state, indicating the different molecular configurations between the two states (Supplementary Note 4).
The switching behaviour of PTCDA/Si(111) is independent of the lateral tip position (Supplementary Fig. 5), and it occurs both over the molecular centre (perylene part) and over the edge (anhydride part). We conclude, therefore, that in the ON state, the perylene part attractively interacts with the tip apex, analogous to the point-contact formation between a metal tip and a benzene ring reported previously34 (see Supplementary Note 5 for a detailed discussion). Assuming that PTCDA has a rigid plane without intramolecular deformation, the tilting angle of the ON-state molecule (in Zone II) is estimated to be about 10–15∘ from the flat OFF configuration.
Chemical dependence: active anhydride, silent imide
PTCDA has various derivatives with a similar molecular frame but different chemical properties46,47. They can be used to tune the switching property without a significant configurational change in the tip–molecule–substrate junction. In this work, we examined two derivatives, perylene-3,4,9,10-tetracarboxylic monoimide monoanhydride (PMI) and perylene-3,4,9,10-tetracarboxylic diimide (PDI). In the STM images at positive Vbias, PTCDA, PMI and PDI appear as a symmetric protrusion (Fig. 1d), a protrusion-and-depression pair (Fig. 3a) and a symmetric depression (Fig. 3i), respectively (see Supplementary Fig. 6 for more images at various Vbias). These appearances suggest that the brighter (darker) half of the image of PMI corresponds to an anhydride (imide) group (Fig. 3a, b).
To evaluate the switching behaviour, we recorded jSTM at d comparable to the active range of the PTCDA switching (Zone II). In contrast to PTCDA, switching of PMI shows a clear dependence on the lateral tip position (indicated by the markers in Fig. 3a, b). When the tip is placed over the anhydride side, the telegraph noise appears in jSTM (Fig. 3e, f), whereas the tip over the imide side keeps jSTM in a low conductance state (Fig. 3g, h). For PDI, no switching was observed at any tip locations (Fig. 3l). These results indicate that the anhydride side of PMI can be lifted (Fig. 3d) in the same manner as PTCDA, whereas PDI and the imide side of PMI do not react (Fig. 3c, k). The inertness of the imide groups strongly supports that the switching behaviour originates from the reactivity of the molecule–substrate system (Fig. 1a), ruling out the possibility of the switching due to the atomic-scale deformation of the plasmonic electrode (tip apex) in the picocavity reported previously48. For PMI, the separation between the switchable and non-switchable positions is 4 Å (orange and cyan in Fig. 3a, b), which highlights the importance of the sub-nanoscale tip positioning for the reaction control.
The different switching behaviours between the three molecules are explained by their adsorption energies Eads. Our DFT calculations identify that PMI and PDI adsorb at the corner hole site of the surface via the four acyl O atoms in the same manner as PTCDA (Supplementary Fig. 1). Eads is calculated to be −4.21 eV, −4.41 eV, and −4.85 eV for PTCDA, PMI and PDI, respectively, which indicates the stronger interaction of the imide group with the Si surface than the anhydride group.
In terms of junction sustainability, PMI has an advantage over PTCDA. Although non-destructive switching is feasible for both molecules (Fig. 2), lateral diffusion or pick-up of PTCDA by the tip was occasionally observed in Zone II or at smaller tip heights (cf. d ≈ 6 Å for STM imaging vs d ≈ 2 Å for switching). In contrast, such irreversible events were rarely observed for PMI because the non-reactive imide side acts as a stable anchor bound to the surface. This provides an important insight into designing stable single-molecule switching in nanojunctions.
Reaction mechanism
The results above suggest that switching of the PTCDA and PMI molecules on the Si surface (referred to as the anhydride/Si switch) is mediated by LSP in the Ag–Si nanojunction. However, other stimuli, such as Vbias-derived tunnelling electrons, electrostatic field or tip–sample attractive/repulsive forces, inevitably coexist in the STM junction, all of which could also contribute to the molecular reaction21,49. We conducted the following control experiments to identify the driving force of the O–Si dissociation to activate the anhydride/Si switch.
First, we confirm that light irradiation to the STM junction is necessary for the switch activation (Fig. 4a and see Supplementary Fig. 7 for the laser-power dependence); the telegraph noise in jSTM disappeared in the absence of laser irradiation independent of Vbias. Second, by modifying the plasmonic resonance of the junction through the tip-apex shaping (see “Method”), we verify the near-field contribution to switching. We prepared Tips 1 and 2 and confirmed their different plasmon-resonance energy profiles (Fig. 4b) by STM-induced luminescence (STML)50. The resonance at around 500 (750) nm for Tip 1 (2) suggests that the LSP is resonantly excited by incident light with a wavelength λext of 532 (780) nm (see the markers c and e in Fig. 4b). Under the on-resonance conditions, the switching was detected (Fig. 4c, e). In contrast, when 780-nm laser irradiates Tip 1 (i.e. off-resonance), no switching was observed (Fig. 4d). We also confirmed that an LSP-resonant Ag tip with λext = 633 nm induced the switching (Supplementary Fig. 8). We conclude, therefore, that the anhydride/Si switch is initiated by plasmon excitation.
Plasmon-induced reactions can be triggered not only by direct transitions due to optical absorption of the reactant but also by hot carriers (HCs; high-energy nonequilibrium electrons and holes) and heat generated in the relaxation process of LSP8,51,52,53. In our case, the linear laser-power dependence of the switching rate (Supplementary Fig. 7) rules out the plasmon-mediated heat- or electric field-driven mechanism where nonlinear dependence is expected (see Supplementary Note 6 for a detailed discussion). The fact that the switching is observable with several λext also excludes the contribution of a mechanism based on direct optical excitation10,15. The described features resemble the HC-mediated dissociation of oxygen molecules strongly bound to an Ag surface in a plasmonic metal junction12,13. Therefore, we suggest that the anhydride/Si switch follows the HC transfer mechanism54 (Supplementary Note 6 and Supplementary Fig. 7). In this mechanism, the reaction is triggered by HCs excited in the plasmonic electrode and transferred to the molecule, analogous to the Antoniewicz model established for electron-stimulated desorption55. The system gains sufficient kinetic energy to overcome the activation barrier by the excitation from the ground state (GS) to a transient charged state (CS) and its relaxation due to the different equilibrium internuclear distances between the two states (Fig. 4f).
The HC-driven mechanism has widely been proposed for plasmon-induced chemistry in metal–molecule–metal nanojunctions9,12,13,14. However, we emphasise that the Ag–molecule–Si nanojunction is distinct from the conventional systems. Our finite element method (FEM) simulations confirmed that, unlike an Ag surface, a Si substrate does not contribute effectively to plasmonic field enhancement in the STM junction (Supplementary Fig. 9). Consequently, HCs are dominantly provided from the plasmonic Ag tip, which probably contributes to the high controllability and target-selectivity of the switching by tip positioning (Figs. 2 and 3e–h). This contrasts with the metal–metal junctions, where the strong plasmonic electric field spreads spatially (>10 nm); HCs from the metal substrate can contribute to unspecific reactions of multiple molecules distributed over the surface area9,10.
Vbias independence of the switching behaviour (Fig. 4a) excludes the contribution of Vbias-derived tunnelling electrons33,56 to the reaction. Theoretically, high-energy tunnelling electrons injected into the molecule by high Vbias potentially induce the same reactions as plasmon-mediated HCs9,12,13,14. Nevertheless, we have not observed Vbias-induced switching of anhydride/Si even at a few volts (Fig. 4a; 3 V is the highest Vbias that could be used for the jSTM trace in Zone II non-destructively). Instead, the tip-apex structure tends to be irreparably destroyed at such high voltages probably because of an excessive electric field in the junction57. Based on the FEM simulations, the plasmon-derived electric field is estimated to be less than 2.3 × 108 V/m, while Vbias of a few hundred mV will lead to an even higher direct-current field in the junction (Supplementary Note 7). This strongly suggests that the LSP-resonant tip acts as a supplier of high-energy electrons/holes (HCs) to invoke single-molecule reactions efficiently and non-destructively.
The short duration of the ON state restricts the obtainable information compared to the OFF state and impedes in-depth analysis of the ON-to-OFF reaction mechanism; nevertheless, there is considerable promise for addressing this through further chemical tailoring of the target molecule. Since the forward and backward reactions proceed on a comparable time scale (Fig. 1b and Supplementary Fig. 4), we predict that the HC-transfer mechanism is also responsible for the ON-to-OFF reaction. The ON-state occupation (Fig. 2c) is affected by the double-well potential shape of the GS (Fig. 4f). The 0.1-Å scale displacement of the tip height varies the ON-state potential energy and deforms the reaction barrier, thereby modifying the reaction rate.
We characterised single-molecule nanojunctions between an Ag tip and a Si surface using PTCDA and its derivatives, PMI and PDI, and controlled their plasmon-induced photoreactivity. Approaching the LSP-resonant tip under illumination to PTCDA/Si(111) induces the O–Si bond breaking to form a point-contact junction between the molecule and the tip. The Si surface leads to strong chemisorption of the anhydride molecule via O–Si bonds and reduces electric field enhancement, which hinders undesired reactions or junction destruction. The LSP also induces the backward reaction, i.e. the dissociation of the contact point between the tip and molecule, leading to the switching behaviour. The switch operation requires both an effective plasmon resonance and an optimum tip–molecule gap distance, allowing for unprecedented control of the reaction rate by changing the gap distance with 0.1-Å precision. Moreover, by comparing the three target molecules, we reveal that an imide moiety on the surface is inert against the plasmon in contrast to the reactive anhydride, although they have little difference in adsorption geometries. Such pinpoint chemical tailoring promises advanced design of single-molecule devices. The design and control of metal–molecule–semiconductor junctions should pave the way for the development of plasmon chemistry with high selectivity and controllability beyond conventional nano-optoelectronics, towards pico-optoelectronics.
Methods
STM and TERS experiments
The experiments were performed in an ultrahigh vacuum (UHV) chamber equipped with a low-temperature STM (modified UNISOKU USM-1400) at sample temperatures T = 10 K and 78 K. No difference between the two temperatures was found in the STM image appearances, jSTM traces and TERS spectra of the molecules on the Si surface. The sample stage is equipped with three-dimensional coarse piezo motors and a piezo tube scanner whereas the tip is fixed at the STM unit. The bias voltage (Vbias) was applied to the sample while the tip was grounded. The STM images were obtained in the constant current mode at jSTM = 50 pA.
For the jSTM trace and TERS measurements, we set the tip position as follows. First, the lateral tip position was set at the centre of the target molecule based on its STM image, and then the current feedback loop was opened. Next, Vbias was set and the tip was vertically (and laterally, as needed) moved to a specific sampling point. This process guarantees an identical tip height for the lateral-tip-position dependent measurements (e.g. Fig. 3). The tip approaching procedure was conducted over the molecular centre, otherwise specified. The origin of the gap distance between the tip and the OFF-state molecule d is determined by the point when the approaching tip first contacts the OFF-state molecule (i.e. the boundary between Zones III and IV) determined by the jSTM–d curve (Supplementary Fig. 3).
As continuous-wave visible laser sources, 532- and 780-nm solid-state lasers and 633-nm HeNe laser were used. A p-polarised incident laser entered the UHV chamber through the corresponding laser-line filter and a fused silica window. The laser beam was precisely focused at the STM tip apex by an Ag-coated parabolic mirror (focal length of 8 mm, numerical aperture of 0.6) mounted on a five-axis (x, y, z, θ and ϕ) movable piezo stage in the STM unit. The optimal focus was confirmed by the plasmon-induced downshift of a field emission resonance (FER) spectrum on a clean Ag(111) surface58.
For TERS and STML measurements, the light scattered from the junction was collected by the parabolic mirror and then guided to a grating spectrometer (AndorShamrock 303i) outside the UHV chamber via a beam splitter. A long-pass filter with the cut-off wavelength corresponding to each incident laser was used for TERS. The acquisition time per TERS spectrum is 3 s. The STML spectra were recorded in the constant current mode without laser irradiation.
Sample and tip preparation
Si(111) sample plates (Siegert Wafer GmbH; As doped) were degassed at 1023 K and then flash-annealed at 1473 K multiple times in the UHV chamber. The surface cleanness and 7 × 7-reconstruction formation were confirmed with the STM image. The molecules were loaded on a Knudsen-cell evaporator and degassed thoroughly under the UHV conditions. PTCDA (Tokyo Chemical Industry Co., Ltd.), PMI (synthesised as reported in the Supporting Information of ref. 47) and PDI (Tokyo Chemical Industry Co., Ltd.) were evaporated at 578 K, 598 K and 568 K respectively, with a clean Si(111)-7 × 7 surface at room temperature facing the cell.
Chemically etched Ag wires were processed by Ga-ion FIB milling (see Supplementary Fig. 10) to obtain sharpened Ag tips with highly reproducible plasmonic property30. The Ag(111) surface for use in the FER measurement with the laser-irradiated Ag tip was prepared by Ar-sputtering-and-annealing cleaning cycles in the chamber. To change the plasmon-resonance energy profiles of the Ag tip (see Fig. 4b), we also used the clean Ag sample for the tip-apex adjustment, for which the tip was mildly poked into the surface and voltage pulses of a few volts for 0.1 s were applied in the Ag–Ag junction.
Theoretical calculations
All the periodic DFT calculations were performed using the STATE code59. The exchange-correlation energy and potential were described using the rev-vdW-DF260 flavour of the van der Waals density functional (vdW-DF)61. The efficient implementation62,63 of the self-consistent vdW-DF was used64. Pseudopotentials were used to describe the electron–ion interaction; the ultrasoft pseudopotential scheme65 was used to describe the H 1s, C 2p, N 2p and O 2p channels, while the norm-conserving pseudopotential scheme66 was used for other channels. The pseudopotentials were generated using the Perdew–Burke–Ernzerhof (PBE)67 generalised gradient approximation functional, and the use of the PBE pseudopotentials was validated in ref. 68. Wave functions and augmentation charge were expanded in a plane-wave basis set with the kinetic energy cutoffs of 36 Ry and 400 Ry, respectively. The Si(111)-7 × 7 surface was modelled using a slab consisting of eight Si layers (four Si bilayers) and a vacuum equivalent to twelve Si layers. The dangling bonds of the bottommost Si layer were terminated by H atoms. The rev-vdW-DF2 optimised lattice constant of 5.461 Å was used to construct the slab. Only the Γ-point was used to sample the surface Brillouin zone. A PTCDA, PMI or PDI molecule was put on one side of the surface, and the effective screening medium method69,70 was used to eliminate the artificial electrostatic interaction with the image slabs. All the atoms were relaxed until the forces acting on them were less than 2.5 × 10−2 eV/Å (1 × 10−3 Hartree/Bohr), except for the Si atoms in the bottommost layer and their terminating H atoms. The adsorption energy is defined by
where Etot(molecule/Si), Etot(molecule) and Etot(Si) are the total energies of the adsorption system, isolated (gas-phase) molecule and Si slab, respectively.
To evaluate the plasmon-enhanced electric field in the Ag–Si nanojunction, we also performed FEM simulations. The detailed method is described in Supplementary Note 7.
Data availability
The source data of the figures in the main text and Supplementary Information in this study have been deposited in the Zenodo database under accession code https://doi.org/10.5281/zenodo.10890118. Other data supporting the findings of this study are included in this paper and the Supplementary Information.
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Acknowledgements
The authors thank Egbert Willem Meijer for providing the PMI molecule and Melanie Müller for the fruitful discussion. I.H. acknowledges the support of JSPS KAKENHI grant no. JP20H05660. T.K. acknowledges the support of JST FOREST grant no. JPMJFR201J and JSPS KAKENHI grant no. JP19K24684.
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A.S. conceived and directed the project. Y.P. and A.S. designed the experiments. Y.P. performed the STM-TERS experiments and analysed the data. I.H. conducted the DFT calculations. A.S. conducted the FEM simulations. A.H. fabricated the FIB-sharpened tips. Y.P., T.K., M.W. and A.S. examined the reaction mechanism. Y.P. wrote the original draft and T.K., M.W. and A.S. reviewed and edited the manuscript.
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Park, Y., Hamada, I., Hammud, A. et al. Atomic-precision control of plasmon-induced single-molecule switching in a metal–semiconductor nanojunction. Nat Commun 15, 6709 (2024). https://doi.org/10.1038/s41467-024-51000-w
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DOI: https://doi.org/10.1038/s41467-024-51000-w