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REVIEW 5 major objections 5 minor 88 references

Ge-based Quantum Sensors for Low-Energy Physics

T0 review · 5 major / 5 minor · reviewed 2026-08-06 · deepseek-v4-flash

Pith's one-line read GeQuLEP claims a germanium platform can detect single primary phonons, with energy depositions as low as 0.00745 eV.

desk verdict Novel detector architecture, but the 7.45 meV threshold rests on a dipole-well model that contradicts the paper's own equations; reject for now, referee seriously. read the letter →

arxiv 2507.01815 v1 pith:NKW3ZQZ6 submitted 2025-07-02 astro-ph.IM physics.app-phphysics.ins-det

classification astro-ph.IMphysics.app-phphysics.ins-det
keywords germaniumdetectorsphononspectroscopydipole-boundquantumdotsphononiccrystalspointcontactreadoutlow-massdarkmattercoherentelasticneutrino-nucleusscatteringcryogeniclow-thresholddetection
topics Dark Matter
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

The paper puts forward a conceptual detector design, GeQuLEP, whose central claim is that a 0.00745 eV energy deposit in high-purity germanium can be registered as a measurable electrical signal. The operating chain is: a low-energy recoil creates primary phonons near 1.8 THz; anharmonic decay produces roughly 16 ballistic phonons; shallow impurities frozen out below 10 K act as quantum dots; phonons displace the bound charges through deformation-potential coupling; and an adjacent radio-frequency quantum point contact reads out the induced charge. If this works, the energy threshold would be orders of magnitude below current detectors, opening searches for low-mass dark matter in the keV/$c^2$ range and real-time detection of solar $pp$ neutrinos via coherent elastic neutrino-nucleus scattering. The paper is a design study: the quantitative predictions rest on calculations and on earlier reports of dipole states, not on a working prototype.

What carries the argument

The central object is the dipole-bound quantum dot: a localized electron or hole state formed when shallow impurities in high-purity germanium freeze out at cryogenic temperatures, modeled here as a Gaussian well about 10 meV deep and 7 nm wide. Phononic crystal cavities trap and slow ballistic phonons near these dots, enhancing absorption via a reduced phonon phase velocity. The deformation-potential interaction converts the phonon into a driven oscillation of the bound charge, whose induced displacement is registered by a radio-frequency quantum point contact through the Ramo-Shockley relation. This machinery converts a sub-eV lattice excitation into a charge signal without any electrical contact to the crystal bulk.

What would settle it

Cool a high-purity germanium sample below 10 K, inject known-frequency phonons with a surface-acoustic-wave transducer, and measure the RF-QPC conductance shift as a function of frequency, doping density, and temperature. The paper's chain predicts a resonant response in the 10-30 GHz band with induced charge above $10^{{-3}}$ e; a scan without that resonance, or with the resonance pinned rather than moving with the Onsager radius, would contradict the transduction model.

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Extended reading notes

Core claim

The paper argues that phonon-to-charge transduction in impurity-defined quantum dots can reach single-phonon sensitivity, with a single 0.00745 eV deposition producing about 16 ballistic phonons whose induced charges sum to a signal above the RF-QPC noise floor. At 4 K, shallow impurities freeze out into dipole-bound states that behave like quantum dots with a Gaussian confinement of roughly 10 meV depth and 7 nm width. Ballistic phonons trapped in phononic crystal cavities couple to these bound carriers through the deformation potential, driving nanometer-scale charge displacements; the Ramo-Shockley induced charge on a nearby QPC is the measured signal. The model predicts resonant enhancement in the 10-30 GHz band with induced charges up to about 0.01 e, and signals above $10^{{-3}}$ e even near 125 GHz, which the paper takes as sufficient for modern RF-QPC readout. All of these are theoretical predictions for a device that has not yet been built and tested.

Load-bearing premise

The load-bearing premise is that shallow impurities in high-purity germanium below 10 K freeze into stable dipole states with a Gaussian confinement of about 10 meV depth and 7 nm width; the paper supports this with its own earlier measurements and reports no new experimental confirmation.

Editorial extensions

If this is right

  • A 0.00745 eV deposit yielding about 16 ballistic phonons, combined with the claimed 95% collection efficiency, predicts a QPC signal above the readout noise floor and makes the detector threshold essentially single-phonon.
  • In the resonant 10-30 GHz band the induced charge reaches about 0.01 e, and even at 125 GHz it remains above 10^{-3} e, within the demonstrated sensitivity of RF-QPC charge sensors.
  • A threshold near 0.00745 eV would give access to dark matter masses around keV/$c^2$ and to solar $pp$ neutrinos through CE$\nu$NS, with the paper estimating that 10-100 g-day of exposure could yield a statistically significant event rate.
  • Phononic bandgaps in the 100-120 GHz range plus sub-nanosecond temporal clustering of decay phonons provide the paper's strategy for separating signal phonons from the 4 K thermal background below about 83 GHz.
  • The architecture is contact-free, CMOS-compatible, and scalable to arrays, avoiding the bulk charge transport and electrical contacts that limit existing germanium detectors.

Reading between the lines

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

  • Editorial extension: if the assumed dipole-state parameters hold, the same transduction chain should be testable in silicon or SiGe, where deformation potentials and impurity ionization energies differ; comparing the predicted resonance frequency would isolate the role of dipole size and confinement depth.
  • Editorial extension: the 10-30 GHz resonance prediction gives a sharp experimental dial, since the bound-state natural frequency depends on the Onsager radius and therefore on temperature and doping; a resonance that does not shift with those parameters would indicate the harmonic-oscillator picture is incomplete.
  • Editorial extension: the paper leaves open whether etching the phononic crystal cavity preserves the near-surface dipole states; a before-and-after measurement of phonon absorption on the same sample would settle whether the doped layer can serve simultaneously as quantum well and phonon cavity.
  • Editorial extension: the same readout chain, calibrated with an on-chip surface-acoustic-wave source, could function as a laboratory phonon spectrometer independent of dark matter, mapping anharmonic decay rates and ballistic lifetimes in high-purity germanium.
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Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

5 major / 5 minor

Summary. The paper proposes GeQuLEP, a conceptual detector platform combining high-purity germanium crystals, phononic-crystal cavities, and radio-frequency quantum point contact (RF-QPC) readout. The claimed physics is that shallow impurities frozen out below 10 K form dipole-bound quantum dots that couple to ballistic phonons via the deformation potential; phonon-induced displacement of the bound charge is then sensed by a nearby QPC. The authors estimate single-primary-phonon sensitivity with a threshold of 0.00745 eV, which they argue would open access to MeV-scale dark matter and solar pp-neutrino CEνNS detection. The manuscript develops a quantitative chain from phonon generation and propagation through dipole-phonon coupling to the induced QPC signal, and it closes with a feasibility discussion and prototyping roadmap.

Significance. If the central claims held, the platform would represent a qualitative advance in low-energy particle detection: a contact-free, sub-10-meV phonon spectrometer with single-phonon sensitivity. The authors are to be credited for constructing an explicit end-to-end model that connects phonon physics, quantum-dot confinement, and charge readout, and for being frank that this is a theoretical design requiring prototype validation. However, the significance is undermined by internal inconsistencies in the very first element of the transduction chain: the dipole-bound quantum-dot parameters used in all subsequent sections are not derivable from the paper's own defining equations, and the harmonic-oscillator model that produces the 10–30 GHz resonance is not justified. The paper also contains several quantitative errors (downconversion multiplicity, absorption probability, thermal occupation numbers) in load-bearing estimates. As a conceptual design, the paper is thought-provoking, but as a technical manuscript it does not yet provide a sound basis for the headline sensitivity claim.

major comments (5)
  1. [§2, Eqs. (3)–(5)] The dipole-well parameters are internally inconsistent. Inserting T = 4 K into Eq. (4) gives d ≈ 261 nm, and substituting into Eq. (3) gives V_dipole ≈ −0.34 meV, whereas Eq. (5) and the text adopt V'_0 ≈ 10 meV and σ' ≈ 7 nm at 4 K. The text itself states that 'the spatial width of the resulting confinement potential is limited by the temperature-dependent variation of this dipole separation,' which cannot be reconciled with a 7 nm width for a 261 nm dipole. The only evidence cited for the 10 meV/7 nm well is fitting to the authors' prior work [24,25]; the paper provides no independent microscopic derivation. Since the harmonic-oscillator parameters used throughout Section 5 (natural frequency, charge displacement, induced charge) originate from this well, the central transduction chain currently lacks a foundation in the paper's own stated dipole model.
  2. [§5.3.2, Eqs. (24)–(27)] The harmonic-oscillator expansion around the Onsager radius is invalid. The potential U(r) = −e^2/(4πε0εr r) has first derivative e^2/(4πε0εr r^2), which is not zero at r_0 defined by Eq. (27); the 'equilibrium force cancellation' invoked after Eq. (24) is therefore unjustified, and no counter-force is introduced. Consequently the spring constant of Eq. (26), the resonant frequency ω_0, the resonance-enhanced displacements in Fig. 9, and the induced charges in Fig. 10 do not follow from the Coulomb potential. Additionally, the driven harmonic oscillator in Eq. (28) has no damping term, so the response at resonance is formally divergent; the finite resonance peaks shown in Figs. 9 and 10 require an unstated damping mechanism or detuning.
  3. [§5.5 and §5.7] The anharmonic downconversion multiplicity is used inconsistently. Section 5.5 states that ~4 sequential decays reduce a 1.8 THz primary phonon to the ballistic regime (~125 GHz), yielding 2^4 = 16 ballistic phonons, and this number supports the 0.00745 eV claim in the abstract. Section 5.7, however, states that ~6 generations populate the 10–30 GHz band, yielding 2^6 = 64 phonons around 28 GHz. Since 1.8 THz / 2^4 ≈ 112 GHz and 1.8 THz / 2^6 ≈ 28 GHz, the two descriptions cannot both be correct. The manuscript must adopt a single, self-consistent cascade model; as written, the headline threshold and the background-discrimination argument rely on contradictory numbers.
  4. [§5.4, P_abs calculation] The absorption probability in the quantum-well region is arithmetically inconsistent with the stated numbers. With n_d = 10^14 cm^−3, σ_abs = 10^−10 cm^2, and L = 1 μm, the product n_d σ_abs L equals 1, so P_abs = 1 − exp(−1) ≈ 63%, not 'approaches 100%' as claimed. The following sentence, 'nearly all of the 16 ballistic phonons are expected to be absorbed,' is therefore incorrect; only about 10 of 16 would be absorbed. This does not invalidate the single-phonon concept by itself, but it is a concrete error in a step that feeds the sensitivity estimate and should be corrected.
  5. [§5.7, thermal occupation numbers] The quoted thermal phonon occupation numbers are incorrect. At T = 4 K, the Bose-Einstein occupation n(f) = [exp(hf/k_BT) − 1]^−1 is about 7.9 at 10 GHz and about 2.3 at 30 GHz, not 2.1 and 0.3 as stated in the text. The claim that the thermal background yields 'fewer than one phonon per nanosecond' in the 10–30 GHz band also needs a quantitative mode-counting derivation; based on the corrected occupation numbers the thermal population is an order of magnitude larger than implied. Since spectral overlap with thermal phonons is a central challenge for the proposed readout, this point must be re-evaluated.
minor comments (5)
  1. [§5.5] The 'characteristic diffusion length of roughly 0.6 µm before the phonon undergoes its first anharmonic decay' is inconsistent with the preceding numbers: with τ_ph ≈ 0.33 μs and v_ph ≈ 5400 m/s, the length is about 1.8 mm, not 0.6 μm. Please check the numerical factor.
  2. [§5.3.1, Eq. (23)] The zero-point displacement in Eq. (23) contains an unexplained factor π. The standard quantized acoustic-phonon displacement amplitude is (ħ/2ρωV)^1/2 (as also used in Eq. (31)); please justify or remove the π.
  3. [References] The reference list contains duplicate entries ([28] and [46]; [47] and [69]), and several bibliographic typos, for example 'gragg' in [41], 'scilicon' in [43], and 'Phy. REv. Lett.' in [37]. A careful copy-editing pass is needed.
  4. [§6 and Figs. 9-10] The terminology 'quantum well (QW)' is used interchangeably with 'quantum dot' and 'dipole state' (e.g., Sections 5.2 and 6). Since the confinement is three-dimensional and localized, the manuscript should use a consistent term (quantum dot) and clarify where 'well' refers to the doped layer rather than the bound state.
  5. [§5.2, Eq. (20)] The absorption cross section σ_abs is derived assuming deformation-potential coupling to a two-level system, but the subsequent application to localized dipole states uses the same formula with bulk Ge parameters. The manuscript should specify how the density of states in Eq. (20) is modified for a bound state rather than a free carrier.

Circularity Check

3 steps flagged · score 5.0 of 10

The 0.00745 eV phonon arithmetic is independent, but the enabling dipole-quantum-dot premise is self-cited and internally inconsistent with the paper's own dipole equations.

  1. self citation load bearing [Section 2 (Concept and Design), after Eqs. (2)-(5); Refs. [22]-[25]]
    "At these temperatures, shallow impurity atoms freeze out and form localized dipole states [22, 23], which create internal deformation potentials without the need for external gating. ... In practical modeling, especially at cryogenic temperatures in high-purity Ge, such dipole-induced potentials are often approximated by narrower, smooth confinement profiles—for example, Gaussian wells: ... where V0' denotes the maximum potential depth (typically on the order of ∼10 meV), and σ' represents the characteristic confinement width (e.g., approximately 7 nm at 4 K ...)."

    The phonon-to-charge transduction chain presupposes that shallow impurities form dipole-bound quantum dots with a ~10 meV deep, ~7 nm wide Gaussian well. The existence of these states and the fitted parameters are supported only by Refs. [22]-[25], all from the present group (D.-M. Mei, S. Bhattarai, and co-authors), and the paper states the parameters are extracted by fitting to those data. No independent derivation or external verification is supplied, so the enabling assumption of the predicted detector concept is a self-cited input rather than an established first-principles result.

  2. fitted input called prediction [Section 2, Eq. (5) and the sensitivity claims in Sections 5.5 and 6.1]
    "Both parameters can be extracted by fitting to experimental data [24, 25]."

    The 10 meV depth and 7 nm width that define the dipole quantum dot are fitted parameters from the authors' own prior measurements, not outputs of the dipole model in Eqs. (3)-(4). These fitted values are then used to motivate the quantum-dot picture from which phonon-induced charge displacement and the resulting sensitivity are asserted. To the extent the predicted transduction chain depends on these dipole dots, the prediction carries forward the fit rather than deriving the effect from independent physics.

1 more flagged steps
  1. other [Section 2, Eqs. (3)-(5)]
    "The dipole size is constrained by the temperature at which the dipole states are thermally stabilized, and can be estimated by: d = q2/(4πϵ0ϵrkBT) ... the spatial width of the resulting confinement potential is limited by the temperature-dependent variation of this dipole separation."

    Substituting Eq. (4) at 4 K into Eq. (3) gives a dipole separation d ≈ 261 nm and a binding energy V ≈ −kBT ≈ −0.34 meV, not the 10 meV depth and 7 nm width assumed in Eq. (5). The paper's own defining equations therefore cannot produce the Gaussian well used to justify the quantum-dot picture; the well is an imported fitted input. This means the later 'predictions' based on the deep narrow well are not self-consistent with the paper's dipole construction.

full rationale

The 0.00745 eV threshold and the 16-phonon branching are not circular: they follow from the standard Ge phonon-dispersion estimate (fmax ≈ 1.8 THz, E = hf ≈ 7.45 meV) and an external anharmonic-decay law, and the final QPC charge estimate uses Coulomb/Onsager parameters rather than the 7 nm Gaussian directly. However, the entire platform presupposes that shallow impurities freeze into dipole-bound quantum dots at 4 K. That premise is supported only by the authors' own prior papers [22]-[25], and the Gaussian well parameters are explicitly fitted to those self-cited data. Moreover, the paper's own Eqs. (3)-(4) imply a potential of order kBT ≈ 0.34 meV and a 261 nm dipole scale, inconsistent with the assumed 10 meV/7 nm well. The circularity is therefore partial: the headline phonon-energy arithmetic is independent, but the enabling transduction mechanism rests on a self-cited, internally inconsistent fitted input. Score 5.

Assumptions & free parameters 6 free parameters · 5 assumptions · 1 invented entities

The design leans on several free parameters and domain assumptions. The dipole well depth and width come from fits to the authors' own prior data, and the phononic mode volume and effective refractive index are assumed. The harmonic oscillator and Gaussian well models are acknowledged approximations. No new experimental evidence is provided for the core impurity-state premise.

free parameters (6)
  • Dipole well depth V'_0 = ~10 meV
    Used for the Gaussian confinement potential (Eq. 5); authors state it is extracted by fitting to experimental data from their own prior papers [24,25].
  • Confinement width sigma' = ~7 nm at 4 K
    Width of the Gaussian well in Eq. 5, fitted to the same self-cited data sets.
  • Effective phononic refractive index n_eff = 6.8
    Assumed value for a high-index-contrast PnC at 30 GHz (Section 5.3); controls the mode volume and the enhanced phonon absorption cross-section.
  • Phonon mode volume Vmode = 1.85e-5 um^3 and 3.13e-22 m^3 (two inconsistent values)
    Used to compute coupling strength and lattice displacement; the paper uses different values in Sections 5.3 and 5.3.2 without reconciliation.
  • Effective carrier mass m = not stated explicitly
    Enters the driven-harmonic-oscillator resonance frequency and displacement amplitudes (Eqs. 28-32); the 10-30 GHz resonance band depends on it.
  • Dipole densities n_d = 1e10 cm^-3 bulk, 1e14 cm^-3 in QW
    Assumed concentrations that set phonon survival probability and absorption probability.
assumptions (5)
  • domain assumption Shallow impurities in high-purity Ge at T<10 K freeze out into dipole-bound states that act as quantum dots
    Central premise cited to self-authored references [22,23]; no independent verification is provided.
  • ad hoc to paper The quantum-dot confining potential is well approximated by a Gaussian well
    Section 2 states the approximation is 'useful and widely adopted' and acknowledges real potentials 'may differ significantly in symmetry and shape'.
  • domain assumption A bound carrier in a dipole state behaves as a damped simple harmonic oscillator with spring constant k = e^2/(2*pi*epsilon*r0^3)
    Section 5.3.2 models the Coulomb potential near the Onsager radius as harmonic; the Onsager radius r0 ≈ 257 nm is used as the equilibrium position, which conflicts with typical hydrogenic donor radii in Ge (~4 nm).
  • domain assumption Ballistic phonons undergo total internal reflection at the Ge-vacuum interface and survive propagation over 10 cm with 95% probability
    Section 4 and 5.4 compute near-unity reflectivity and use the Beer-Lambert survival model; the survival probability uses the assumed bulk density n_d = 1e10 cm^-3.
  • domain assumption A 1.8 THz primary phonon decays via 4 generations to 16 ballistic phonons near 125 GHz
    Section 5.5 uses a three-phonon decay model with the coefficient tau^-1 = 1.61e-55 * nu^5 and assumes each generation splits into two equal-energy phonons.
invented entities (1)
  • Dipole-induced quantum dots from impurity freeze-out
    purpose: Provide the localized charge states that transduce phonon arrivals into electrical signals at the QPC
    This is the load-bearing physical object. The paper cites only the authors' own prior publications [22-25] as evidence for its existence, and provides no data in this paper.

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Pith. "Pith review of Ge-based Quantum Sensors for Low-Energy Physics." pith.science (2026). https://pith.science/paper/NKW3ZQZ6

@misc{pith2026250701815,
  author       = {Pith},
  title        = {Pith review of: Ge-based Quantum Sensors for Low-Energy Physics},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/NKW3ZQZ6}},
  note         = {Machine review of arXiv:2507.01815}
}
abstract

We present \textbf{GeQuLEP} (Germanium-based Quantum Sensors for Low-Energy Physics), a conceptual design for an advanced quantum sensing platform integrating high-purity germanium (Ge) crystals with engineered phononic crystal cavities. At cryogenic temperatures, these cavities naturally host dipole-bound states, effectively forming quantum dots coupled to radio-frequency quantum point contact (RF-QPC) readout systems. This innovative coupling approach promises ultra-sensitive phonon-mediated charge detection through phonon-induced charge displacement. GeQuLEP is specifically designed to achieve exceptionally low detection thresholds, theoretically enabling single primary phonon sensitivity with anticipated energy depositions as low as \textbf{0.00745~eV}. This unprecedented sensitivity, if realized experimentally, would provide unique access to searches for low-mass dark matter down to the keV/$c^2$ mass range via nuclear and electronic recoils. Additionally, GeQuLEP aims to facilitate the real-time detection of solar \textit{pp} neutrinos through coherent elastic neutrino--nucleus scattering (CE$\nu$NS). By combining phonon-based quantum transduction with quantum-classical hybrid readout schemes, the GeQuLEP architecture represents a scalable, contact-free phonon spectroscopy design that could significantly advance the capabilities of ultra-low-energy rare-event detection at the quantum limit.

Figures

Figures reproduced from arXiv: 2507.01815 by the authors.

Figure 1
Figure 1. Left: Recoil energies in Ge as a function of dark matter mass, showing both nuclear and electronic channels [12]. Right: Predicted nuclear recoil spectrum in Ge from solar neutrinos via CEvNS interactions [13]. being pursued by Mei et al. [12]. Another promising approach is internal phonon ampli￾fication via the production of Neganov-Trofimov-Luke (NTL) phonons, as implemented by the SuperCDMS collaboration [9]. Thi… view at source ↗
Figure 2
Figure 2. Comparison of deformation potentials in Ge: gate-defined quantum dot poten￾tial (solid blue) and dipole-induced quantum dot potential at 4 K (dashed orange). Dipole￾induced potentials originate from frozen-out impurity atoms such as boron, aluminum, gal￾lium, or phosphorus [22, 23, 24, 25]. In this work, we employ a Gaussian confinement potential as an approximation for the wavefunctions of dipole-bound quantum dots… view at source ↗
Figure 3
Figure 3. Left: Schematic of the GeQuLEP detector architecture. A high-purity germa￾nium crystal with a central impurity concentration of approximately 1010 cm−3 forms the detector bulk. Near the top surface, p-type dipole quantum dots—naturally formed from boron, aluminum, or gallium dopants at concentrations of approximately ∼ 1014 cm−3 in a single-crystal Ge substrate—are engineered into a PnC cavity structure. Likewise, n… view at source ↗
Figures from the paper (9 more)
Figure 4
Figure 4. Figure 4: Left: Energy spectrum of primary phonons generated by nuclear recoil in Ge. Right: Energy spectrum of ballistic phonons after anharmonic downconversion, showing a broader distribution of lower-frequency phonons that propagate over long distances at cryogenic temperatur…
Figure 5
Figure 5. Figure 5: Effective refractive index neff as a function of phonon frequency ω based on a synthetic dispersion relation in a SiGe PnC cavity [PITH_FULL_IMAGE:figures/full_fig_p016_5.png]
Figure 6
Figure 6. Figure 6: illustrates that σabs increases sharply at high frequencies in the PnC-enhanced QW region, where phonons are strongly confined. These phonons are more likely to be absorbed by dipole states, inducing localized charge displacement detectable via QPC read￾out. Such enhan…
Figure 7
Figure 7. Figure 7: Charge–phonon coupling strength g(ω) in Ge as a function of phonon frequency. The coupling increases with frequency due to the increase in phonon momentum. 5.3.1 Lattice Displacement Induced by a Single Phonon The lattice displacement associated with a single phonon is…
Figure 8
Figure 8. Figure 8: Lattice displacement xlattice as a function of phonon frequency in Ge. Higher￾frequency phonons result in smaller displacements due to shorter wavelengths. a very weak induced signal at the QPC. In contrast, larger charge displacements—resulting from stronger charge-ph…
Figure 9
Figure 9. Figure 9: Calculated charge displacement xcharge as a function of phonon frequency for electrons and holes. A resonance enhancement is observed between 10–30 GHz, where the phonon frequency matches the natural oscillation of the dipole states. Beyond this range, displacement inc…
Figure 10
Figure 10. Figure 10: presents the calculated induced charge Qind on the QPC electrode as a function of phonon frequency, assuming a quantum dot–QPC separation of 1 µm. In the resonance region—where phonon frequencies fall between 10 and 30 GHz and coincide with the natural oscillation fre…
Figure 11
Figure 11. Figure 11: Normalized power spectral density of phonons in Ge at 4 K. The solid line shows the thermal phonon background based on the Bose-Einstein distribution, while the dashed line includes an added Gaussian burst centered at 20 GHz with a width of 3 GHz, representing daughte…
Figure 12
Figure 12. Figure 12: Conceptual block diagram of the GeQuLEP detection system. Energy deposited by low-energy particles in the Ge bulk generates primary phonons, which undergo anhar￾monic decay into ballistic acoustic phonons. These phonons are filtered and directed by a thin PnC cavity l…

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