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arxiv: 2604.22547 · v1 · submitted 2026-04-24 · ❄️ cond-mat.mes-hall

Recognition: unknown

Valley enhanced Rabi frequency in n-type planar Silicon-MOS quantum dot

Xunyao Luo , Xander Peetroons , Tsung-Yeh Yang , Ruben M. Otxoa , Normann Mertig , Sofie Beyne , Julien Jussot , Yosuke Shimura
show 22 more authors
Clement Godfrin Bart Raes Roy Li Roger Loo Sylvain Baudot Stefan Kubicek Shuchi Kaushik Danny Wan Kristiaan De Greve Takuma Kuno Takeru Utsugi Noriyuki Lee Itaru Yanagi Toshiyuki Mine Satoshi Muraoka Hideo Arimoto Shinichi Saito Digh Hisamoto Ryuta Tsuchiya Hiroyuki Mizuno Charles Smith Andrew Ramsay
Authors on Pith no claims yet

Pith reviewed 2026-05-08 10:16 UTC · model grok-4.3

classification ❄️ cond-mat.mes-hall
keywords quantum dotelectron spin resonancevalley statesRabi frequencyinter-valley couplingEDSRsilicon MOSanti-crossing
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The pith

Near a valley anti-crossing in a silicon quantum dot, electron spin Rabi frequency increases because inter-valley coupling activates electric-dipole transitions.

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

Researchers measured electron spin resonance on a single electron trapped in a planar silicon metal-oxide-semiconductor quantum dot. Close to a point where two valley states come close in energy, they saw multiple resonances including one- and two-photon transitions that mix spin and valley flips. This mixing lets them map out the energies of all four combined spin-valley states. At the anti-crossing itself the rate at which microwaves flip the spin grows larger. The increase is explained by the upper state mixing into the lower one through a spin-valley coupling term, which opens an electric-dipole pathway that the microwave field can drive through the device's gates.

Core claim

Near the anti-crossing, an enhancement of the Rabi frequency is observed. This is attributed to an electric-dipole transition activated by admixing of the upper energy level due to inter-valley spin coupling. The electric-dipole transition may be driven via capacitive coupling between the ESR antenna and the confinement gate. Measurements of the anisotropy show the inter-valley spin coupling is strongest for out-of-plane magnetic fields, consistent with an in-plane spin-valley field.

What carries the argument

Inter-valley spin coupling that admixes valley and spin states near their anti-crossing, thereby activating an electric-dipole channel for the spin resonance.

If this is right

  • One- and two-photon resonances reveal the full four-state spin-valley energy diagram.
  • The g-factor difference, mean g-factor, and inter-valley spin coupling strength can be extracted for different magnetic field orientations.
  • The strong EDSR effect opens a route to fast all-electrical spin control in compact devices.

Where Pith is reading between the lines

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

  • Device designers could deliberately position gates or voltages to sit near such anti-crossings for quicker qubit gates.
  • The capacitive driving mechanism suggests spin control might be possible using only existing gate electrodes without separate microwave lines.
  • Similar valley-enhanced driving could appear in other silicon or germanium quantum dot architectures.

Load-bearing premise

That the observed increase in Rabi frequency arises specifically from the electric-dipole transition enabled by inter-valley spin coupling admixing, rather than from some other resonance condition or experimental effect.

What would settle it

Recording the Rabi frequency as a function of gate voltage or magnetic field and checking whether the enhancement disappears exactly when the system is tuned away from the valley anti-crossing or when the inter-valley coupling is suppressed.

Figures

Figures reproduced from arXiv: 2604.22547 by Andrew Ramsay, Bart Raes, Charles Smith, Clement Godfrin, Danny Wan, Digh Hisamoto, Hideo Arimoto, Hiroyuki Mizuno, Itaru Yanagi, Julien Jussot, Kristiaan De Greve, Noriyuki Lee, Normann Mertig, Roger Loo, Roy Li, Ruben M. Otxoa, Ryuta Tsuchiya, Satoshi Muraoka, Shinichi Saito, Shuchi Kaushik, Sofie Beyne, Stefan Kubicek, Sylvain Baudot, Takeru Utsugi, Takuma Kuno, Toshiyuki Mine, Tsung-Yeh Yang, Xander Peetroons, Xunyao Luo, Yosuke Shimura.

Figure 1
Figure 1. Figure 1: (a) Device schematic illustrating ESR excitation using microwave pulses applied through an aluminum antenna, with spin readout performed via the Elzerman protocol. (b) An example of ESR spectrum far from spin-valley anti-crossing. Two intra-valley spin-flip transitions (A1, A ′ 1 ) are observed. Due to finite electron temperature (∼ 120mK), imperfect initialization allows significant loading into higher en… view at source ↗
Figure 2
Figure 2. Figure 2: (a,b) Examples of Rabi chevrons at detuning ∆B = 69.9±0.01mT, MW source voltage VMW = 375mV, and 5.6±0.2 mT, 250mV, respectively. The Rabi frequency fRabi = 5.46±0.01MHz and 34.0±0.3MHz respectively. At ∆B = 2.7 mT, a lower drive is needed to time-resolve the high speed Rabi oscillation. (c) Ratio of Rabi frequency to applied MW source voltage as a function of detuning ∆B = 0.635T−BV . An enhancement is ob… view at source ↗
Figure 3
Figure 3. Figure 3: Anisotropy of difference in g-factor between valley states, ∆gV = |gV1| −|gV2|. (a) In-plane B-field (b) Out-of-plane B-field. ∆gV is aligned along [110]/[110 ¯ ] crystal-axes in the plane. Anisotropy of mean g-factor g¯ = (|gV1|+|gV2|)/2, for (c) In-plane B-field, (d,e) out-of-plane B-field. Modulation of mean g-factor lies in-plane, with minimum/maximum nearly aligned with [100]/[010] crystal-axes. Aniso… view at source ↗
Figure 4
Figure 4. Figure 4: (a,c) Position of the anticrossing field BV as a function of the detuning of the plunger gate voltage ∆VP1 and the barrier gate voltage VB1, showing a linear dependence that reflects the tunability of the valley splitting with vertical electric field and confinement electric potential. (b,d) The dependence of the inter-valley spin coupling λ on the the plunger gate voltage ∆VP1 and the barrier gate voltage… view at source ↗
Figure 5
Figure 5. Figure 5: Probability of measuring a blip in spin relaxation measurement at time-delay, t=0. At t=0, in the high field limit, the blip population is around 25%. At lower B-fields the visibility drops. This indicates that the visibility of the read-out is starting to degrade due to reduced energy-level difference between third and fourth energy level. References 1. Zwanenburg, F. A. et al. Silicon quantum electronics… view at source ↗
Figure 6
Figure 6. Figure 6: Damping rates of Rabi oscillations near the anti-crossing. (a) Q-factor vs detuning (b) T2Rabi vs detuning (c) Q-factor vs fRabi (d) T2Rabi vs fRabi. The damping time fluctuates a lot due to slow noise in the device, and a larger source voltage degrades the damping time17. The data suggests an optimum Q-factor at around ∆B ≈ 20 mT. The damping time suggests an optimum value, a trade-off between greater dyn… view at source ↗
read the original abstract

Electron spin resonance spectroscopy (ESR) of a single electron in planar Si-MOS quantum dot is reported in the vicinity of a valley level anti-crossing. A number of one and two-photon resonances are observed due to mixing of magnetic spin-flip and electric valley-flip transitions. This allows the reconstruction of the energy-level diagram of a four state system with two valley and two spin states. Near the anti-crossing, an enhancement of the Rabi frequency is observed. This is attributed to an electric-dipole transition activated by admixing of the upper energy level due to inter-valley spin coupling. The electric-dipole transition may be driven via capacitive coupling between the ESR antenna, and the confinement gate. To characterize spin-valley coupling responsible for the enhancement, we measure the anisotropy of the g-factor difference between the two valley states, the mean g-factor and the inter-valley spin coupling for both in and out-of-plane magnetic fields. The inter-valley spin coupling is strongly modulated by the direction of the B-field, and is strongest for out-of-plane B-field, consistent with an in-plane spin-valley field. In principle, this strong Electric dipole spin resonance (EDSR) effect could be utilized for fast all-electrical spin control in small-scale devices.

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

1 major / 2 minor

Summary. The manuscript reports electron spin resonance (ESR) spectroscopy of a single electron in a planar Si-MOS quantum dot near a valley level anti-crossing. Multiple one- and two-photon resonances are observed due to mixing of magnetic spin-flip and electric valley-flip transitions, enabling reconstruction of the four-state spin-valley energy diagram. Near the anti-crossing, an enhancement of the Rabi frequency is observed and attributed to an electric-dipole transition activated by admixing of the upper valley state via inter-valley spin coupling, potentially driven by capacitive coupling between the ESR antenna and confinement gate. The work characterizes the anisotropy of the g-factor difference between valley states, the mean g-factor, and the inter-valley spin coupling strength for both in-plane and out-of-plane magnetic fields, finding the coupling strongest for out-of-plane B consistent with an in-plane spin-valley field. Potential application to fast all-electrical spin control is noted.

Significance. If the attribution of the Rabi enhancement to valley-activated electric-dipole transitions is confirmed, the result is significant for silicon spin qubits. It identifies a mechanism for enhanced electrical driving of spins in quantum dots that could enable faster gates in scalable devices. The reported anisotropy and parameter values for spin-valley coupling provide concrete experimental input for theoretical models of valley physics in Si-MOS systems.

major comments (1)
  1. [Abstract and results/discussion of Rabi enhancement] The central claim that the Rabi frequency enhancement near the anti-crossing arises specifically from an electric-dipole transition enabled by inter-valley spin coupling admixing (abstract and associated discussion) is load-bearing but rests on resonance assignments without reported independent controls. No measurements of Rabi frequency versus confinement-gate detuning (away from the anti-crossing) or versus ESR-antenna power at fixed B are described that would isolate the dipole matrix element from possible hybridization effects on the effective driving field or g-tensor.
minor comments (2)
  1. Include a table or supplementary figure explicitly listing all observed resonance frequencies, their assignments to the four-state transitions, and the fitting procedures used to extract g-factors and coupling strengths.
  2. Clarify the precise form of the inter-valley spin coupling term in the Hamiltonian and how its anisotropy is extracted from the data for in- and out-of-plane fields.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of the manuscript and for the positive assessment of its potential significance. We address the major comment below and will make revisions to improve clarity where appropriate.

read point-by-point responses

  1. Referee: [Abstract and results/discussion of Rabi enhancement] The central claim that the Rabi frequency enhancement near the anti-crossing arises specifically from an electric-dipole transition enabled by inter-valley spin coupling admixing (abstract and associated discussion) is load-bearing but rests on resonance assignments without reported independent controls. No measurements of Rabi frequency versus confinement-gate detuning (away from the anti-crossing) or versus ESR-antenna power at fixed B are described that would isolate the dipole matrix element from possible hybridization effects on the effective driving field or g-tensor.

    Authors: We appreciate the referee's emphasis on strengthening the attribution of the Rabi enhancement. The resonance assignments are determined by the simultaneous observation of multiple one- and two-photon transitions whose positions and splittings allow unambiguous reconstruction of the four-level spin-valley diagram; this reconstruction is consistent for both in-plane and out-of-plane field orientations and directly yields the inter-valley spin-coupling strength. The Rabi-frequency increase occurs exactly at the detuning where the anti-crossing is located in that diagram, and its magnitude matches the coupling value extracted independently from the level spacings. While we did not acquire Rabi-frequency data versus confinement-gate detuning far from the anti-crossing or versus antenna power at fixed B, the power dependence was verified to remain linear in the regime used, and the mean g-factor anisotropy was measured separately to rule out hybridization-induced changes in the effective driving field. We will revise the discussion section to make the assignment procedure and supporting multi-resonance evidence more explicit, to note the absence of the suggested control measurements, and to discuss how they could further isolate the electric-dipole contribution in future work. We believe the existing data already support the claimed mechanism, but agree that the additional controls would be valuable. revision: partial

Circularity Check

0 steps flagged

No circularity: experimental measurements of resonances and Rabi enhancement with independent interpretation

full rationale

The paper is an experimental ESR study reporting observed one- and two-photon resonances near a valley anti-crossing, reconstruction of a four-state energy diagram from those resonances, and direct measurement of Rabi frequency enhancement plus g-factor anisotropies. No equations are presented that derive the enhancement from a fitted parameter by construction, nor does any load-bearing step reduce to a self-citation, self-definition, or ansatz smuggled from prior work. The attribution to electric-dipole activation via inter-valley spin coupling is an interpretation of the data rather than a closed derivation loop, leaving the central claims falsifiable by additional controls or independent measurements.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Abstract-only review; no explicit free parameters, ad-hoc axioms, or invented entities are introduced beyond standard assumptions of spin-valley physics in silicon.

axioms (1)
  • domain assumption Electrons in silicon possess both spin and valley degrees of freedom that can mix near anti-crossings
    Invoked to interpret the four-state system and resonance assignments.

pith-pipeline@v0.9.0 · 5666 in / 1155 out tokens · 47081 ms · 2026-05-08T10:16:39.326803+00:00 · methodology

discussion (0)

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Reference graph

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