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arxiv: 2606.27830 · v1 · pith:3NEYK2I2new · submitted 2026-06-26 · ❄️ cond-mat.mes-hall · quant-ph

Theory of Electron Spin Resonance Scanning Tunneling Microscopy: The First Decade

Saba Taherpour , Denis Jankovi\'c , Hoang-Anh Le , Jose Reina-Galvez , Christoph Wolf This is my paper

Pith reviewed 2026-06-29 03:26 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall quant-ph
keywords electron spin resonancescanning tunneling microscopyspin manipulationHeisenberg exchangeKondo scatteringAnderson impurity modelhyperfine interactioncoherent control
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The pith

Electric fields drive atomic spin resonance in STM junctions via exchange and scattering mechanisms.

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

This review paper establishes that ESR-STM enables all-electrical spectroscopic probing and coherent manipulation of individual spins on surfaces. The electric field in the tunnel junction drives the resonance through mechanisms based on Heisenberg exchange, Kondo scattering, and Anderson impurity models. These frameworks are shown to account for observed signals by incorporating electronic correlations and many-body effects. The work then extends the approach to coherent multi-spin control for qubit operations and to coupled electron-nuclear systems with hyperfine resolution.

Core claim

The theory of ESR-STM shows that the electric field drives spin transitions through Heisenberg exchange, Kondo scattering, and Anderson impurity models, allowing all-electrical coherent control of spins at the atomic scale without oscillating magnetic fields, with validation against experiments and extensions to multi-spin and electron-nuclear dynamics.

What carries the argument

Electric-field-driven spin resonance modeled by Heisenberg exchange, Kondo scattering, and Anderson impurity models.

If this is right

  • Coherent manipulation of single spins becomes possible using only DC and RF voltages in the STM junction.
  • Multi-spin interactions can be controlled to perform multiple-qubit operations at the atomic scale.
  • Hyperfine-resolved spectroscopy reveals electron-nuclear coupling and enables driving of nuclear spins.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The same electric-field driving could be tested on different magnetic impurities or substrates to check model generality.
  • Combining ESR-STM with existing STM-based atomic manipulation might allow on-demand assembly of spin arrays for quantum simulation.
  • Time-resolved measurements of nuclear polarization could distinguish between direct driving and indirect relaxation pathways.

Load-bearing premise

The three models of Heisenberg exchange, Kondo scattering, and Anderson impurity capture the dominant driving mechanisms without major unmodeled contributions from tip geometry or surface environment.

What would settle it

An experiment that measures ESR-STM resonance signals whose dependence on bias, current, or magnetic field cannot be reproduced by any combination of the Heisenberg, Kondo, and Anderson models.

Figures

Figures reproduced from arXiv: 2606.27830 by Christoph Wolf, Denis Jankovi\'c, Hoang-Anh Le, Jose Reina-Galvez, Saba Taherpour.

Figure 1
Figure 1. Figure 1: Schematic of the ESR–STM junction and effective models. (a) A quantum impurity (QI, blue; sensor spin) is positioned in the STM junction and interacts with the tip and substrate with tunneling rates ΓT↔QI and ΓQI↔S, respectively. A DC bias VDC and an RF modulation VRF enable ESR driving. An external magnetic field B splits the electronic spin states (Sz = ± 1 2 ). Hyperfine coupling produces a nuclear-spin… view at source ↗
Figure 2
Figure 2. Figure 2: Spin dynamics and ESR-STM readout (a) The time evolution of a spin in a magnetic field. The columns show free time evolution (Larmor precession), and driven transi￾tions Rabi Oscillations in the lab frame and in the rotating frame. For the driving, a magnetic field B(t) along y direction was applied on-resonance. The upper row shows a closed quantum system whilst the lower row shows an open quantum system … view at source ↗
Figure 3
Figure 3. Figure 3: Experimental ESR Spectrum. ESR Spectrum of Ti on Ag/MgO. The measured spectrum is separated into asymmetric (green) and symmetric (blue) components highlighting the complex shape in experiments. The total fit (red) is described by Eq. (11). Measurement condition: VDC = 50 mV, IDC = 5 pA, VRF = 50 mV, Bext = 0.82 T. The resonant frequency is fres = 20.69 GHz. The extracted fit parameters are ∆Is = 17.34 fA,… view at source ↗
Figure 4
Figure 4. Figure 4: (a) Schematic of an Fe atom on MgO in the STM junction including the tip. The [PITH_FULL_IMAGE:figures/full_fig_p011_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Anderson Impurity Model (a) Energy diagram of a quantum impurity (QI). Filled arrows indicate occupied single-electron states at εd defining the QI spin, while hollow arrows show unoccupied states at ϵ+U, corresponding to double occupancy. Only the tip (left) electrode is polarized in this example (PT > 0) and modulated (tT = tT(t)) with (tT < tS). Depending on the bias, the Rabi process is dominated by ei… view at source ↗
Figure 6
Figure 6. Figure 6: Comparison of Simulated and Experimental ESR Signals. Simulated ESR spectra based on (a) the Heisenberg model; (b) the Kondo model and (c) the Anderson impurity model. (d) Experimentally measured ESR signal for a Ti atom [27]. Panel (b) is dapted from Ref. [86] with permission (Copyright 2024 American Physical Society). Interestingly, Fe, a high-spin (S = 2) system with significant anisotropy [16, 119, 120… view at source ↗
Figure 7
Figure 7. Figure 7: (a) Rabi frequency Ω/2π as a function of the applied radio-frequency voltage VRF for individual Ti and Fe atoms, and FePc molecules. Solid lines are linear fits constrained to pass through the origin, illustrating the proportionality Ω ∝ VRF. The extracted slopes are 0.075 (Ti [36]), 0.27 (Ti [52]), 0.22 (Ti [59]), 0.54 (Ti [81]), 0.30 (FePc [45]), 1.55 (FePc [67]), and 0.0108 (Fe [81]), 0.70 (V − S (sulfu… view at source ↗
Figure 8
Figure 8. Figure 8: Resonance frequency dependency to VDC (a) Universal, rescaled Ti resonance shift described by the exchange-field model. Adapted from Ref. [63] with permission. Copyright 2025 The Authors. Licensed under CC BY 4.0.. (b) Non-linear spin-electric coupling in the ESR spectra on FePc molecule. Colormap of the ESR signal ∆I vs. VDC and f shows experimental data (left) and simulation (right) using the exchange-bi… view at source ↗
Figure 9
Figure 9. Figure 9: Quantum Coherent Manipulation. Rabi oscillations measured via the tunneling current as a function of pulse width for varying VRF: (a) Ti atom, Adapted from [36], with permission. Copyright 2019 AAAS. (b) FePc molecule. Adapted from Ref. [45]. Copyright 2021 The Authors. Licensed under CC BY 4.0. prototypical quantum two-level system and can be therefore considered a qubit. For driven spin qubits, this figu… view at source ↗
Figure 10
Figure 10. Figure 10: Multi-spin control. (a) Experimental setup for electron spin resonance of a Ti spin exchange-coupled to a nearby Fe single-atom magnet on an MgO substrate. (b) Angular dependence of the peak splitting in continuous-wave ESR (CW-ESR) spectra of Ti–Fe pairs, defined as the frequency separation between the two resonance peaks arising from the exchange interaction between the Ti spin and the Fe atom. (c) Meas… view at source ↗
Figure 11
Figure 11. Figure 11: Multi-spin spectroscopy (a) Experimental setup for double-resonance spec￾troscopy of two coupled Ti spins on a surface. Ti-1 is the sensor and the Ti-2 is the remote spin, which are coupled by J1,2. The Fe atom nearby the Ti-2 provides a strong magnetic field gradient for the remote spin (left). Energy level diagram corresponding to the dressing of the Ti-2 and probing using Ti-1 (right). Adapted from Ref… view at source ↗
Figure 12
Figure 12. Figure 12: Multi spin operations. (a) A multi-qubit structure including two remote qubits and a sensor qubit for a control scheme. (b) Driving the transition |0⟩|00⟩ ↔ |0⟩|10⟩ showing the CCNOT operation of remote qubit 1. (a) and (b) adapted from Ref. [55] , with permission from the American Association for the Advancement of Science. Copyright 2023 The Authors. (c) Coherent and diagonal fidelity of NOT operation i… view at source ↗
Figure 13
Figure 13. Figure 13: Hyperfine energy spectra and protocols for single-atom spin readout/- control on MgO. Energies E (y-axis) are plotted versus applied magnetic field B (x-axis) for Ti isotopes and Ho adsorbed on MgO. Blue/black/dark red correspond to 47Ti, 48Ti, and 49Ti; non-ESR-driven I = 7/2 levels can also correspond to 165Ho. The spectra are governed by the hyperfine interaction A I·J with an effective quadrupolar ter… view at source ↗
Figure 14
Figure 14. Figure 14: Hyperfine splitting modulation in Ti isotopes. (a) Schematic of ESR-STM measurements on the three Ti isotopes (47Ti, 48Ti, 49Ti) on MgO in a rotating magnetic field. The MgO lattice directions are xˆ and yˆ, with zˆ out of plane. An external magnetic field Bext is applied in a plane rotated by 15.5 ◦ from the yz-plane about zˆ; θ denotes its angle relative to the out-of-plane direction. (b) ESR spectra of… view at source ↗
Figure 15
Figure 15. Figure 15: Nuclear levels read-out and addressing mechanisms. (a) Left: conductance jumps revealing the nuclear spin states (gray) of Tb (I = 3/2) and the resulting nuclear-spin tra￾jectory (red). Right: histograms of ∼40,000 jumps showing four non-overlapping Gaussian-like distributions; shaded bars indicate the time-averaged population P of each nuclear spin state, illustrating the Landau–Zener readout mechanism (… view at source ↗
read the original abstract

Electron spin resonance in scanning tunneling microscopy enabled the study of electronic transitions of magnetic impurities on surfaces at the atomic scale. This ESR-STM technique allows to spectroscopically probe and coherently manipulate spins using an all-electrical method without oscillating external magnetic driving fields. Here, we aim to review recent advancements in ESR-STM. We will discuss possible fundamental mechanisms by which the electric field drives spin resonance based on Heisenberg exchange, Kondo scattering, and Anderson impurity models. We validate theoretical predictions against experimental observations, to understand how electronic correlations, spin exchange, and many-body effects manifest in ESR-STM signals. After reviewing coherent spin control in the STM junction, we discuss potential applications of the ESR-STM method for coherent multi-spin control which enables multiple-qubit operations. Finally, we address recent developments in coupled electron-nuclear spin systems, including hyperfine-resolved ESR spectroscopy, and the driving and polarization of nuclear spins in ESR-STM.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 1 minor

Summary. The manuscript is a review summarizing the first decade of theoretical developments in Electron Spin Resonance Scanning Tunneling Microscopy (ESR-STM). It covers driving mechanisms for all-electrical spin resonance based on Heisenberg exchange, Kondo scattering, and Anderson impurity models; validates theoretical predictions against experimental observations to illustrate manifestations of electronic correlations and many-body effects; reviews coherent spin control; discusses extensions to coherent multi-spin control for multiple-qubit operations; and addresses coupled electron-nuclear spin systems including hyperfine-resolved spectroscopy and nuclear spin driving/polarization.

Significance. If the review accurately aggregates and contextualizes the cited literature, it would be a significant contribution by providing a consolidated reference on atomic-scale all-electrical spin manipulation. The emphasis on model validations, coherent control, and multi-spin/electron-nuclear extensions highlights pathways for quantum information applications on surfaces and clarifies how many-body physics enters ESR-STM observables.

minor comments (1)
  1. [Abstract] The abstract states that predictions are validated against experiments, but the review would benefit from an explicit statement (e.g., in the introduction or a dedicated section) on the criteria used to select which experimental works are included as validations versus those left for future discussion.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive assessment of our manuscript and for recommending acceptance. Their summary accurately captures the scope and structure of the review.

Circularity Check

0 steps flagged

Review aggregates external literature; no internal derivation reduces to self-inputs

full rationale

This is a review paper that summarizes mechanisms (Heisenberg exchange, Kondo scattering, Anderson impurity models) drawn from prior literature, validates them against external experimental observations, and discusses applications and extensions. No load-bearing step is shown to reduce by the paper's own equations or self-citation chain to its inputs; the abstract and description indicate aggregation of independent cited results rather than a self-contained derivation or fitted prediction presented as novel. Self-citations, if present, are not described as load-bearing for any uniqueness theorem or ansatz. The paper is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

This is a review paper; the ledger reflects the models it summarizes rather than new postulates. No free parameters, axioms, or invented entities are introduced by the review itself.

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Reference graph

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