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Spin coherence as a function of depth for high-density ensembles of silicon vacancies in proton-irradiated 4H–SiC

MetadataDetails
Publication Date2020-07-18
JournalSolid State Communications
AuthorsPeter Brereton, D. Puent, J. R. Vanhoy, E. R. Glaser, S.G. Carter
InstitutionsUnited States Naval Research Laboratory, United States Naval Academy
Citations9
AnalysisFull AI Review Included
  • Core Value Proposition: This research validates proton irradiation as a viable, scalable method for generating high-density ensembles of silicon vacancies (VSi) in 4H-SiC, crucial for solid-state quantum applications.
  • Depth Dependence of Coherence: The spin coherence time (T2) of the VSi ensemble was measured as a function of implantation depth, correlating T2 directly with defect density.
  • Coherence Time Results: T2 decreased significantly from a maximum of 11.5 µs near the irradiated surface (low density) to 3.4 µs at approximately 40 µm depth (high density).
  • Decoherence Mechanism Identified: The strong correlation between decreasing T2 and increasing integrated photoluminescence (PL) intensity (defect density) confirms that dipole-dipole interactions between neighboring VSi are the dominant decoherence mechanism in these high-density ensembles.
  • Material Advantage: SiC VSi defects offer significant material benefits over canonical nitrogen vacancies (NV) in diamond, including robust industrial microfabrication capacity and emission in telecom-compatible wavelengths.
  • Engineering Implications: The ability to engineer defect density and coherence time through precise proton implantation depth is critical for fabricating scalable SiC quantum devices and achieving superradiant coupling.

ParameterValueUnitContext
Substrate MaterialHigh purity semi-insulating 4H-SiCN/ACommercial CREE substrate
Defect StudiedSilicon Vacancy (VSi) V2 transitionN/AS = 3/2 ground state
Irradiation ParticleProton (H+)N/AUsed to generate defects
Irradiation Energy2MeVTandem linear accelerator source
Proton Fluence3.5 x 1015proton/cm2Total dose applied
Projected Proton Range32µmCalculated stopping depth into bulk crystal
Excitation Wavelength850nmBelow-gap excitation for PL
Static Magnetic Field (Bstatic)68.5mTApplied parallel to the c-axis
VSi Ground State Splitting (2D)70MHzZero external magnetic field
ODMR Transition Frequency2022MHzUsed for Rabi/Hahn echo measurements
Maximum Coherence Time (T2)11.5µsMeasured near the irradiated surface (low density)
Minimum Coherence Time (T2)3.4µsMeasured near 40 µm depth (high density)
Low Temperature PL Peaks1438, 1353meVV1 and V2 zero-phonon lines (ZPL)

The experiment utilized proton irradiation to generate defects and optically detected magnetic resonance (ODMR) combined with pulsed techniques to measure spin coherence as a function of depth.

  1. Sample Preparation (Proton Irradiation):

    • High-purity semi-insulating 4H-SiC substrates were flood irradiated in air.
    • A 2 MeV proton beam was directed parallel to the c-axis.
    • A high fluence of 3.5 x 1015 proton/cm2 was used, resulting in a calculated projected proton range of 32 µm.
    • No annealing step was performed, meaning emission was measured from natural and unannealed radiation damage defects.
  2. Optical Setup and Scanning:

    • Defect photoluminescence (PL) was excited using 850 nm light from a Ti:sapphire laser focused through a microscope objective (0.65 NA, 50x).
    • The excitation and collection were arranged confocally along the cleaved edge of the sample.
    • A stepper motor stage was used to scan the measurement volume from the irradiated face into the bulk, allowing depth-dependent measurements.
  3. Microwave Control and ODMR:

    • Microwave excitation was delivered via a 50 µm diameter gold wire loop shorted between the center electrode and the outer conductor of a coaxial cable.
    • A static magnetic field (68.5 mT) was applied parallel to the c-axis.
    • Continuous wave ODMR was used to identify the spin transitions (1883 MHz and 2022 MHz).
  4. Pulsed Coherence Measurement (Hahn Echo):

    • To measure the single defect coherence time (T2), the Hahn echo sequence was employed to remove inhomogeneous dephasing (T2*).
    • Sequence: Optical pump pulse (spin polarization) → π/2 microwave pulse (superposition state) → fixed delay T → π pulse (spin reversal) → variable delay t → final π/2 pulse → final off-resonant optical pulse (readout).
    • The damping of the coherent echo signal was fit to determine T2 at various depths within the sample.

The successful engineering of high-density, coherent spin ensembles in SiC directly supports the development of next-generation quantum technologies.

  • Solid-State Quantum Computing: SiC VSi centers serve as robust, optically addressable spin qubits, offering a scalable platform compatible with existing semiconductor microfabrication infrastructure.
  • Quantum Sensing and Metrology: The spin coherence properties enable high-sensitivity magnetic field sensing (magnetometry) and nanoscale nuclear magnetic imaging, potentially surpassing current diamond NV center limitations in certain environments.
  • Superradiant Devices: Achieving high defect densities (approaching 1016 spins/mm3) is necessary for demonstrating strong radiative coupling, leading to:
    • Chip-Scale Ultra-Stable Lasers: Utilizing superradiant emission for highly stable, compact light sources.
    • High-Sensitivity Detectors: Quantum-enhanced detectors leveraging collective spin effects.
  • Quantum Communication: VSi defects emit in the near-infrared (V2 transition at 1353 meV), which corresponds to telecom-compatible wavelength bands, enabling long-distance quantum network links.
  • Engineered Defect Manufacturing: The use of proton irradiation provides a precise, depth-controlled method for generating defect layers, allowing for the integration of quantum functionality directly into SiC electronic or photonic devices.
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