Attosecond charge transfer in atomic-resolution scanning tunnelling microscopy

Angel Rubio; Carlos M. Bustamante; Franco P. Bonaf\'e; Franz J. Giessibl; Jascha Repp; Jonas Sch\"on; Katharina Gl\"ockl; Markus A. Huber; Moritz Maczejka; Raffael Spachtholz

REVIEW 3 major objections 3 minor 2 cited by

Attosecond charge transfer in atomic-resolution scanning tunnelling microscopy

T0 review · 3 major / 3 minor · reviewed 2026-08-06 · deepseek-v4-flash

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Pith's one-line read Scanning tunnelling microscopy can now image single atoms with attosecond-scale, sub-femtosecond charge-transfer currents driven by single-cycle near-infrared light pulses.

desk verdict A genuine advance in lightwave-driven STM with atomic resolution, but the sub-femtosecond wave-packet claim is a simulation output tied to a field calibration that needs checking. read the letter →

arxiv 2507.10206 v1 pith:2LCUHI6K submitted 2025-07-14 physics.optics

Simon Maier , Raffael Spachtholz , Katharina Glöckl , Carlos M. Bustamante , Sonja Lingl , Moritz Maczejka , Jonas Schön , Franz J. Giessibl

show 5 more authors

Franco P. Bonafé Markus A. Huber Angel Rubio Jascha Repp Rupert Huber

This is my paper

classification physics.optics

keywords attosecondscanningtunnellingmicroscopylightwave-drivencarrier-envelopephasesingle-cyclepulsestime-dependentdensityfunctionaltheoryatomicresolutionpetahertzelectronics

verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This paper claims to have achieved the first combination of attosecond temporal resolution with atomic spatial resolution in scanning tunnelling microscopy (STM). By synthesizing phase-controlled single-cycle near-infrared pulses and keeping the tip-sample junction thermally stable, the authors show that tunnelling currents are modulated on sub-cycle time scales and that these currents can image a single copper adatom on a silver surface. The central claim is that single-cycle near-infrared waveforms drive isolated electronic wave packets shorter than 1 fs, and that the resulting lightwave-driven current retains angstrom-scale spatial resolution. The paper supports this with a joint experiment and time-dependent density functional theory (TD-DFT) simulation, in which the simulated current flows within a window of about 985 attoseconds.

What carries the argument

The central mechanism is the CEP-modulated lightwave-driven tunnelling current I_CEO, detected by lock-in demodulation of the total tunnelling current at the carrier-envelope-offset frequency f_CEO. The waveform itself is the key object: two spectrally non-overlapping near-infrared pulses (centre frequencies 164 THz and 249 THz) are superposed with an attosecond-precise delay τ, forming single-cycle transients with a 5.2 fs intensity envelope and peak fields up to 7.6 MV/cm. The CEP of this synthesized waveform is modulated linearly in time, and the component of the tunnelling current that follows this modulation is I_CEO, which serves as a direct fingerprint of sub-cycle charge transfer. The theory side uses time-dependent density functional theory (TD-DFT) to simulate charge transfer between two sodium clusters at 16 Å separation, computing Q(t) and the resulting CEP-modulated current, which reproduces the experimental I_CEO and phase.

What would settle it

Measure I_CEO(τ) for inter-pulse delays τ far outside the region of pulse overlap (e.g., |τ| > 10 fs), where no waveform asymmetry or sub-cycle tunnelling should occur; if a non-zero demodulated current with a phase tracking the power modulation persists, the signal is contaminated by a thermal artifact. Alternatively, replace one of the two pulses with a spectrally identical copy so that the superposition has no waveform asymmetry but identical average power; if a comparable I_CEO amplitude remains, the claim of attosecond charge transfer would be falsified.

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Extended reading notes

Core claim

The core discovery is that single-cycle near-infrared pulses, synthesized from two spectrally non-overlapping pulses with controlled carrier-envelope phase (CEP), can drive a CEP-dependent tunnelling current that is confined to a sub-femtosecond time window and yet retains atomic spatial resolution. The authors measure the CEP-modulated current I_CEO as a function of inter-pulse delay τ, finding oscillations on sub-femtosecond scales and phase steps that are locked to the absolute waveform. TD-DFT simulations of a sodium-cluster junction reproduce the measured I_CEO and phase, showing that the transferred charge Q(t) undergoes a sharp step near t = 0 and that the current transient has a full width at half maximum of 985 as. The same simulations show a 0.5 fs retardation between the field maximum and the current maximum, indicating that the electron response is no longer instantaneous on this timescale. Finally, the authors demonstrate atomic-resolution imaging of a single Cu adatom on Ag(100) using the lightwave-driven current, with a decay length of about 8.7 Å for the highest pulse energy.

Load-bearing premise

The residual 2×10⁻⁵ power modulation at the CEP-modulation frequency produces a negligible thermal current, so that the demodulated signal I_CEO(τ) is purely electronic and reflects the waveform-dependent tunnelling charge transfer rather than a thermal artifact.

Editorial extensions

If this is right

Attosecond temporal resolution and atomic spatial resolution can coexist in a single STM instrument, enabling direct videography of electron motion at atomic length scales.
The observed sub-femtosecond current transient and the 0.5 fs retardation between field and current maxima make the intrinsic response time of electrons in solids accessible in a tunnelling geometry.
The waveform-dependent tunnelling current provides a new experimental probe of the crossover regime between multi-photon and field-driven tunnelling (Keldysh parameter κ ≈ 1), where the effective barrier is dynamically reduced by excited states.
Atomic-resolution imaging with attosecond currents works on metal surfaces and can be extended to single molecules and defects, as demonstrated on a single Cu adatom on Ag(100).
The technique establishes a path to atom-scale petahertz electronics, where electronic switching is controlled by the optical field on sub-femtosecond timescales.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

If the 0.5 fs retardation is a genuine Keldysh-time effect, then this STM approach could be used to measure tunnelling delays in real space as a function of barrier shape and material, potentially resolving long-standing debates about tunnelling time.
The reduced decay length (~8.7 Å) suggests that excited electronic states with extended wavefunctions participate in the tunnelling process; tuning the pulse parameters might selectively enhance or suppress specific electronic states, offering chemically sensitive imaging contrast.
The decrease of I_CEO above the Cu adatom, tentatively assigned to a local work-function reduction, could be exploited as a new contrast mechanism for mapping work-function variations at surfaces with sub-femtosecond time resolution.
Extending the method to two-pulse pump-probe schemes with variable τ should allow time-resolved imaging of electron dynamics in single molecules, including charge transfer and diabatic transitions, with combined attosecond and atomic resolution.

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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Desk Editor's Note

read the letter

Colleague,

The short version: this is a real experimental step forward. The atom-resolved images with CEP-modulated NIR-driven tunnelling currents are convincing, and the two-colour synthesis for thermal stability is a smart solution to a problem that has plagued this kind of measurement. But the headline 'isolated electronic wave packets shorter than 1 fs' is a TD-DFT prediction, not a directly measured observable, and there is a calibration inconsistency between the simulation field and the pulse energy that needs to be addressed before that number is taken literally.

What's new: CEP-modulated currents in STM have been reported (Garg-Kern 2020, Hu 2021), and attosecond field emission from tips is established. Here they combine the two at true atomic scale, image a single Cu adatom on Ag(100), and use a two-colour scheme to keep the thermal load stable while sweeping the CEP. The thermal control is genuinely careful: they show that roughly 10^-4 power modulations produce thermal currents that would swamp the lightwave signal, and their photodiode data show a tau-independent 2e-5 power modulation at the modulation frequency. The phase-locking of I_CEO to tau, including the sub-fs step structure, is clean evidence of sub-cycle field control.

The TD-DFT does a credible job of reproducing the tau dependence of both amplitude and phase. The picture of photon-assisted tunnelling through an effectively reduced barrier, with a non-instantaneous response set by the Keldysh time, is plausible and worth pursuing. They also provide source data, which is appreciated.

Soft spots. First, the 985 as current duration is an output of the simulation, not a measurement. The experiment records I_CEO(tau) as a lock-in demodulated cross-correlation, which is not a time-domain trace of the current. That's a fine way to infer sub-cycle control, but it should be labeled as inference. Second, the field calibration looks inconsistent: Fig. 4a assigns 1.04 V/nm to 171 pJ, while Fig. 3c uses 1.04 V/nm for the 75 pJ data. If the local field scales as sqrt(pulse energy), the 75 pJ field would be roughly 0.69 V/nm, and the simulated charge transfer would likely be slower. The authors need to explain whether the simulation field was chosen to match the current amplitude or whether there is a different calibration. Third, there are no error bars on I_CEO or the phase, and while the tau-independent power modulation argues against a thermal vector, a constant thermal background could still bias the phase for small signals. A direct null with one of the two pulses blocked would settle this.

Who is this for: anyone in ultrafast science, STM, or attosecond metrology. I would send it to referees and expect a conditional acceptance: fix the calibration, separate measured from simulated quantities in the abstract, and add error bars. The core experimental result—atomic-resolution imaging with sub-cycle lightwave-driven currents—is solid and will stand regardless.

Referee Report

3 major / 3 minor

Summary. The manuscript reports an STM experiment in which two spectrally non-overlapping near-infrared pulses with variable delay tau are focused onto a low-temperature STM junction, and the carrier-envelope-phase-modulated component I_CEO(tau) of the tunnelling current is recorded by lock-in detection. The authors observe a CEP-dependent, waveform-sensitive current that oscillates on sub-femtosecond time scales in the delay scan, and they support this with time-dependent density functional theory (TD-DFT) simulations of charge transfer between two sodium clusters. The central claim is that single-cycle near-infrared pulses drive isolated electronic wave packets shorter than 1 fs, and that such attosecond lightwave-driven tunnelling currents can image a single copper adatom with atomic spatial resolution.

Significance. If the central claim holds, this is the first demonstration of attosecond temporal control combined with atomic spatial resolution in STM, which would open a new regime of lightwave-driven scanning probe microscopy. The experimental design is strong in several respects: the two-colour pulse synthesis with constant average power and a measured residual power modulation of 2e-5, the observation of sub-fs features in the delay-dependent CEP-modulated current, the phase-locking of the signal to the absolute CEP, and the atomic-resolution imaging capability. The TD-DFT calculation is a forward simulation driven by the measured optical spectrum rather than a fit to the current transient, which gives the theory-experiment comparison genuine predictive content. However, the sub-1-fs wave-packet duration is a simulation result, not a directly measured observable, and the field calibration used in the simulation is inconsistent with the pulse energy quoted for the main comparison. These issues affect the strength and scope of the headline claim.

major comments (3)

[Full quantum theory of NIR-induced tunnelling; Figs. 3a, 3c and 4a]
[Full quantum theory of NIR-induced tunnelling; Fig. 3a]
[Operating STM with NIR pulses; Figs. 1c and 1i]

minor comments (3)

[Full quantum theory of NIR-induced tunnelling; Fig. 3c caption]
[Waveform synthesis for attosecond current control; inset of Fig. 1e]
[Full quantum theory of NIR-induced tunnelling; Fig. 3h]

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the TD-DFT sub-fs current is a forward simulation, not a fit to the measured current; experimental claims rest on CEP phase-locking.

full rationale

Walked the derivation chain. The central sub-fs claim is a TD-DFT prediction: the current I(t)=dQ/dt is computed for a specified single-cycle transient (Fig. 3a,b), and its 985-as FWHM is an output, not an input. The theory-experiment comparison in Fig. 3c-e uses a tau shift and a constant phase offset, but these do not constrain the shape, the sub-cycle oscillations, or the phase jumps; the simulated I_CEO^DFT(tau) is compared against the measured I_CEO(tau) as independent data. Fig. 4a calibration (171 pJ corresponds to 1.04 V/nm) is used to set the simulation field, but the simulated decay length is compared to the measured one rather than fitted to it. There is no equation where a target quantity is defined in terms of itself, no fitted parameter renamed as a prediction, and no load-bearing self-citation: the theory formalism is referenced (ref. 42) but the simulations are performed here, and no uniqueness theorem is invoked to force the choice. The apparent pulse-energy mismatch between the 1.04 V/nm simulation and the 75 pJ data in Fig. 3c is a quantitative consistency concern, not circularity; whether the 985-as duration is correct at lower pulse energy is a model-validation question outside the circularity axis.

Assumptions & free parameters 4 free parameters · 4 assumptions · 0 invented entities

The central claim relies on a small number of calibration parameters (field amplitude, delay and phase offsets) and on domain assumptions about the validity of TD-DFT, the fidelity of the far-field waveform, and the absence of thermal contamination. No new physical entities are introduced.

free parameters (4)

Peak electric field calibration = 1.04 V/nm for 171 pJ
Assumed to match simulated and experimental decay lengths in Fig. 4a.
Delay offset between theory and experiment = not specified (global shift)
Applied to match I_CEO^DFT(tau) to experimental I_CEO(tau) in Fig. 3c.
Constant phase offset = not specified
Applied to align the theoretical phase with the experimental phase in Fig. 3d.
Model junction geometry (sodium clusters, 16 Å gap) = 16 Å; sodium clusters
Chosen model parameters for TD-DFT; affects the quantitative value of the simulated current transient duration.

assumptions (4)

domain assumption TD-DFT with sodium clusters is a valid model of the metal tip-sample junction for strong-field tunnelling.
The central interpretation of the 985 as current transient and the I_CEO(tau) comparison relies on this model; the paper does not benchmark it against a realistic metal surface.
domain assumption The field transient reconstructed from the far-field spectrum equals the field at the junction up to a scalar amplitude.
The waveform shapes used in the theory are taken from far-field optical characterization; local near-field effects are neglected except for an overall amplitude calibration.
domain assumption The lock-in signal at f_CEO is free of thermal contamination.
The paper infers this from a 2e-5 residual power modulation that is tau-independent, but no direct thermal current measurement at f_CEO is reported.
domain assumption The Keldysh parameter classification and the two-regime picture apply at the NIR-driven junction.
The jump between multi-photon and strong-field regimes is used throughout to interpret the data; the relevance of this framework to the intermediate regime (kappa ~ 1) is assumed.

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Cite this review

Pith. "Pith review of Attosecond charge transfer in atomic-resolution scanning tunnelling microscopy." pith.science (2026). https://pith.science/paper/2LCUHI6K

@misc{pith2026250710206,
  author       = {Pith},
  title        = {Pith review of: Attosecond charge transfer in atomic-resolution scanning tunnelling microscopy},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/2LCUHI6K}},
  note         = {Machine review of arXiv:2507.10206}
}

read the original abstract

Electrons in atoms and molecules move on attosecond time scales. Deciphering their quantum dynamics in space and time calls for high-resolution microscopy at this speed. While scanning tunnelling microscopy (STM) driven with terahertz pulses has visualized sub-picosecond motion of single atoms, the advent of attosecond light pulses has provided access to the much faster electron dynamics. Yet, combining direct atomic spatial and attosecond temporal resolution remained challenging. Here, we reveal atomic-scale quantum motion of single electrons in attosecond lightwave-driven STM. Near-infrared single-cycle waveforms from phase-controlled optical pulse synthesis steer and clock electron tunnelling. By keeping the thermal load of the tip-sample junction stable, thereby eliminating thermal artifacts, we detect waveform-dependent currents on sub-cycle time scales. Our joint theory-experiment campaign shows that single-cycle near-infrared pulses can drive isolated electronic wave packets shorter than 1 fs. The angstrom-scale decay of the tunnelling current earmarks a fascinating interplay of multi-photon and field-driven dynamics. By balancing these effects, we sharply image a single copper adatom on a silver surface with lightwave-driven currents. This long-awaited fusion of attosecond science with atomic-scale STM makes elementary dynamics of electrons inside atoms, molecules and solids accessible to direct spatio-temporal videography and atom-scale petahertz electronics.

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Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Clocking and controlling attosecond currents in a scanning tunnelling microscope
quant-ph 2025-07 unverdicted novelty 7.0 of 10

Two-colour, sub-cycle optical waveforms in an STM junction control the direction of tunnelling current bursts and constrain their duration to roughly 860 attoseconds.
Optical excitations in nanographenes from the Bethe-Salpeter equation and time-dependent density functional theory: absorption spectra and spatial descriptors
physics.comp-ph 2025-10 conditional novelty 5.0 of 10

BSE@evGW0@PBE implemented in CP2K reproduces nanographene absorption after 1/L extrapolation and predicts a lowest bright exciton size of ~7.6 Å that TDDFT functionals cannot match in both size and spectrum.

Reference graph

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Pith tools

Reviewed August 6, 2026 · model on record in the stance chip above.

[1] [1]

Nabben, D. et al. Attosecond electron microscopy of sub-cycle optical dynamics. Nature 619, 63–67 (2023)

work page 2023

[2] [2]

Gaida, J. H. et al. Attosecond electron microscopy by free-electron homodyne detection. Nat. Photon. 18, 509–515 (2024)

work page 2024

[3] [3]

Cocker, T. L. et al. Tracking the ultrafast motion of a single molecule by femtosecond orbital imaging. Nature 539, 263–267 (2016)

work page 2016

[4] [4]

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work page 2020

[5] [5]

Cocker, T. L. et al. Nanoscale terahertz scanning probe microscopy. Nat. Photon. 15, 558–569 (2021)

work page 2021

[6] [6]

Atomic-scale quantum sensing based on the ultrafast coherence of an H2 molecule in an STM cavity

Wang, L., Xia, Y., and Ho, W. Atomic-scale quantum sensing based on the ultrafast coherence of an H2 molecule in an STM cavity. Science 376, 401-405 (2022)

work page 2022

[7] [7]

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work page 2023

[8] [8]

Roelcke, C. et al. Ultrafast atomic-scale scanning tunnelling spectroscopy of a single vacancy in a monolayer crystal. Nat. Photon. 18, 595–602 (2024)

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