Electrically detected magnetic resonance of ⁷⁵As magnetic clock transitions in silicon
Pith reviewed 2026-05-08 04:08 UTC · model grok-4.3
The pith
Low-field EDMR detects magnetic clock transitions in near-surface 75As donors in silicon by observing linewidth broadening.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
Magnetic clock transitions from an ensemble of near-surface 75As (I = 3/2) spins in silicon are observed using low-field (< 10 mT) continuous-wave electrically detected magnetic resonance (EDMR). As the CT condition is approached, pronounced linewidth broadening is observed, consistent with a donor Hamiltonian informed linewidth model. These results establish low-field EDMR as a sensitive probe of CTs in near-surface donor systems relevant to silicon-based quantum devices.
What carries the argument
the donor Hamiltonian informed linewidth model, which accounts for the increase in resonance linewidth as the magnetic field tunes toward the clock transition where first-order field sensitivity vanishes.
If this is right
- Clock transitions suppress decoherence in donor spin systems by eliminating linear magnetic-field noise coupling.
- Low-field EDMR can locate and characterize clock transitions in near-surface donor ensembles.
- The approach applies directly to silicon-based quantum devices where surface-proximate donors are used.
Where Pith is reading between the lines
- The same EDMR method could map clock transitions for other donors such as phosphorus or antimony in silicon.
- Surface-specific broadening data may inform donor placement strategies that preserve longer coherence times.
- Extension to pulsed EDMR variants might allow direct coherence measurements at the clock condition.
Load-bearing premise
The observed linewidth broadening arises specifically from approaching the clock transition condition according to the donor Hamiltonian rather than from unrelated experimental artifacts or other broadening sources.
What would settle it
No linewidth broadening, or a broadening pattern that fails to match the donor Hamiltonian predictions, when the magnetic field is swept through the calculated clock transition point.
Figures
read the original abstract
Magnetic clock transitions (CTs), defined by vanishing first-order sensitivity of the transition frequency to magnetic field fluctuations, provide a powerful route to suppress decoherence in donor spin systems. Here, we present the observation of magnetic field CTs from an ensemble of near-surface $^{75}$As ($I = 3/2$) spins in silicon using low-field ($< 10$~mT) continuous-wave electrically detected magnetic resonance (EDMR). As the CT condition is approached, pronounced linewidth broadening is observed, consistent with a donor Hamiltonian informed linewidth model. These results establish low-field EDMR as a sensitive probe of CTs in near-surface donor systems relevant to silicon-based quantum devices.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The manuscript reports the experimental observation of magnetic clock transitions (CTs) for an ensemble of near-surface 75As (I=3/2) donors in silicon, detected via low-field (<10 mT) continuous-wave electrically detected magnetic resonance (EDMR). The central result is a pronounced broadening of the resonance linewidth as the magnetic field is swept toward the CT condition, which the authors state is consistent with a linewidth model informed by the donor spin Hamiltonian. The work concludes that low-field EDMR provides a sensitive probe of CTs in near-surface donor systems relevant to silicon quantum devices.
Significance. If the linewidth broadening can be shown to arise specifically from the vanishing first-order field sensitivity at the CT (rather than competing mechanisms), the result would be significant for silicon-based quantum information processing. It would demonstrate a practical, low-field characterization method for donor CTs in device-like near-surface environments, where surface-induced decoherence is a key concern, and could complement higher-field techniques for validating decoherence-suppression strategies.
major comments (2)
- [Results (linewidth vs. field data)] The central claim that the observed linewidth broadening is produced by the CT condition (vanishing first-order field sensitivity) rests on consistency with the donor Hamiltonian linewidth model, but the manuscript provides no explicit exclusion of near-surface artifacts. No control data (e.g., depth-dependent measurements or surface-passivation comparisons) are presented to rule out contributions from interface electric fields, strain gradients, or charge noise that could produce comparable field-dependent broadening.
- [Discussion (linewidth model)] The donor Hamiltonian informed linewidth model is invoked to explain the data, yet the text does not specify whether the model is parameter-free, what fixed parameters are taken from literature, or whether any free parameters are fitted to the observed broadening. Without residuals, chi-squared values, or a table of model parameters, it is not possible to assess the uniqueness of the CT attribution.
minor comments (2)
- [Abstract] The abstract states the data are 'consistent with' the model but does not report the magnitude of the broadening, the field range over which it occurs, or any uncertainty estimates; adding these quantitative details would strengthen the presentation.
- Standard experimental parameters (microwave power, modulation amplitude, temperature, and donor depth distribution) are referenced only qualitatively; a concise methods paragraph or table would improve reproducibility.
Simulated Author's Rebuttal
We thank the referee for their detailed and constructive report. The two major comments highlight important points about the attribution of the observed linewidth broadening and the transparency of the model. We address each below and indicate the changes planned for the revised manuscript.
read point-by-point responses
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Referee: [Results (linewidth vs. field data)] The central claim that the observed linewidth broadening is produced by the CT condition (vanishing first-order field sensitivity) rests on consistency with the donor Hamiltonian linewidth model, but the manuscript provides no explicit exclusion of near-surface artifacts. No control data (e.g., depth-dependent measurements or surface-passivation comparisons) are presented to rule out contributions from interface electric fields, strain gradients, or charge noise that could produce comparable field-dependent broadening.
Authors: We agree that dedicated control measurements (depth profiling or passivation comparisons) would strengthen the exclusion of near-surface artifacts. Such experiments lie outside the scope of the present study, which focuses on demonstrating low-field EDMR detection of the CTs themselves. However, the broadening we report is not a generic increase but occurs specifically as the applied field is tuned toward the calculated clock-transition condition for the 75As hyperfine manifold; the functional form of the field dependence matches the second-order sensitivity predicted by the donor Hamiltonian. Generic mechanisms such as strain gradients or charge noise would not be expected to produce a resonance-width minimum that tracks the independently calculated CT field. In the revised manuscript we will add a paragraph in the discussion that explicitly compares the expected signatures of interface electric fields and strain against the observed data and the Hamiltonian model. revision: partial
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Referee: [Discussion (linewidth model)] The donor Hamiltonian informed linewidth model is invoked to explain the data, yet the text does not specify whether the model is parameter-free, what fixed parameters are taken from literature, or whether any free parameters are fitted to the observed broadening. Without residuals, chi-squared values, or a table of model parameters, it is not possible to assess the uniqueness of the CT attribution.
Authors: The linewidth model uses the known 75As donor spin Hamiltonian (hyperfine interaction A, nuclear quadrupole interaction, and electron g-factor) with all numerical values taken from established literature; no free parameters are adjusted to fit the observed broadening curve. The model simply computes the second-order field sensitivity at each resonance and converts it to an expected linewidth via the measured inhomogeneous broadening at high field. In the revised manuscript we will (i) add an explicit statement that the calculation is parameter-free with respect to the linewidth data, (ii) include a table of all fixed Hamiltonian parameters together with their literature sources, and (iii) provide a supplementary figure showing the model curve overlaid on the data together with residuals. revision: yes
Circularity Check
No significant circularity: experimental observation with external model consistency
full rationale
The paper reports direct experimental observation of magnetic clock transitions via low-field EDMR on near-surface 75As donors, noting linewidth broadening as the CT condition is approached. This is described only as 'consistent with' a donor Hamiltonian informed linewidth model, without any derivation chain, first-principles prediction, or parameter fitting that reduces the observed broadening back to the input data by construction. No self-definitional steps, fitted inputs renamed as predictions, or load-bearing self-citations for uniqueness theorems are present. The central result is an empirical measurement whose interpretation relies on an independent standard donor spin Hamiltonian, making the derivation self-contained against external benchmarks.
Axiom & Free-Parameter Ledger
Reference graph
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INTRODUCTION Group-V donor spins in silicon constitute exceptional solid-state spin systems, combining long intrinsic coher- ence times and compatibility with well-established semi- conductor fabrication processes [1–3]. Both the 31P donor (I= 1/2) and heavier group-V species such as 75As (I= 3/2), 121,123Sb (I= 5/2,7/2), and 209Bi (I= 9/2) have been stud...
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Device F abrication A schematic of the EDMR device geometry is shown in Figs
EXPERIMENT AL METHODS 2.1. Device F abrication A schematic of the EDMR device geometry is shown in Figs. 1(a) and (b). The device was fabricated on an isotopically enriched 28Si substrate (800 ppm residual 29Si), consisting of a 10-µm-thick epitaxial layer grown via chemical vapor deposition on a p-type natural sili- con wafer (Isonics Corp.). A 30-nm-thi...
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RESUL TS AND DISCUSSION The resonant energies of the magnetic resonance sig- nals were calculated using the Hamiltonian for the electron-nuclear spin system of substitutional 75As donors in silicon, ˆH=g eµBB0 ˆSz −g nµN B0 ˆIz +A ˆS· ˆI,(1) whereA= 198.4 MHz is the isotropic hyperfine cou- pling constant for 75As,[26] and ˆSand ˆIare the electron (S= 1/2...
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Detection is mediated by SDR between the donor elec- tron and a proximalP b0 interface defect, enabling sen- sitive electrical readout
CONCLUSION We observe low-field magnetic CTs of near-surface 75As donor spins in silicon using continuous-wave EDMR. Detection is mediated by SDR between the donor elec- tron and a proximalP b0 interface defect, enabling sen- sitive electrical readout. As the CT condition is ap- proached, the EDMR linewidth is observed to increase markedly. This behaviour...
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discussion (0)
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