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Microscopic processes during ultra-fast laser generation of Frenkel defects in diamond

MetadataDetails
Publication Date2021-01-01
JournalarXiv (Cornell University)
AuthorsBenjamin Griffiths, Andrew Kirkpatrick, Shannon S. Nicley, R. L. Patel, Joanna M. Zajac
InstitutionsUniversity of Warwick, Michigan State University
Citations21
AnalysisFull AI Review Included

Technical Analysis and Documentation: Ultra-Fast Laser Defect Generation in Diamond

Section titled “Technical Analysis and Documentation: Ultra-Fast Laser Defect Generation in Diamond”

6CCVD Document Reference: TA-2105.11894v1 Date: October 26, 2023 Subject: Microscopic processes during ultra-fast laser generation of Frenkel defects in diamond


This research provides critical insights into the fundamental physics governing the precision engineering of quantum defects in wide-bandgap materials using ultra-fast laser processing.

  • Core Achievement: Successful theoretical and experimental demonstration of ultra-fast laser generation of isolated Frenkel defects (vacancy-interstitial pairs) in single-crystal diamond (SCD).
  • Quantum Relevance: Controlled vacancy generation is paramount for creating high-quality solid-state quantum bits and sensors, such as Nitrogen-Vacancy (NV) centers.
  • Mechanism Identified: Defect formation is attributed to the thermally activated non-radiative recombination of self-trapped biexcitons (STbX), requiring localized energy transfer to break the carbon-carbon bond.
  • High Non-Linearity: The process exhibits an effective non-linearity of approximately 40 with respect to laser pulse energy at the onset of defect generation, demanding highly precise energy control.
  • Critical Parameters: Defect formation efficiency is highly dependent on achieving a quasi-equilibrium electron-lattice temperature above 500 K, accelerating the non-radiative decay pathway over the radiative lifetime.
  • Material Requirement: The success of this technique relies on high-purity, low-nitrogen single-crystal diamond substrates to minimize background defects and ensure optimal optical performance.

The following hard data points were extracted from the experimental and modeling sections of the paper, detailing the material properties and process parameters.

ParameterValueUnitContext
Diamond MaterialType 1b SCDN/ASample used for laser writing
Nitrogen Concentration2ppbImpurity level in the SCD sample
Laser Wavelength790nmTi:Sapphire laser source
Pulse Energy Range (Defect Onset)16 - 18nJExperimental range showing high non-linearity
Pulse Duration (Varied)120 fs - 1psRange tested for efficiency comparison
Focusing Numerical Aperture (NA)1.4N/AOil immersion objective used for tight focusing
Defect Generation Non-Linearity~40N/AEffective non-linearity observed experimentally
Frenkel Defect Activation Barrier ($E_b$)0.47 ± 0.01eVEnergy barrier derived from model fitting (470 ± 10 meV)
Quasi-Equilibrium Temperature (Onset)> 500KRequired for efficient non-radiative STbX recombination
Exciton Binding Energy ($E_x$)80meVIntrinsic diamond property
Biexciton Self-Trap Deformation Potential ($E_{DP}$)1.74eVEnergy released upon lattice deformation
SCD Polishing RequirementRa < 1nmN/AImplied requirement for high-NA/SIL focusing (G. Worthy of Note)

The experimental setup utilized advanced adaptive optics and ultra-fast laser technology to achieve highly localized energy deposition necessary for isolated defect generation.

  1. Laser System: A regeneratively amplified 790 nm Ti:Sapphire laser coupled with a Chirped Pulse Amplifier (CPA) was used to generate intense, ultra-short pulses (120 fs to 1 ps).
  2. Aberration Correction: A Spatial Light Modulator (SLM) was integrated into the optical path to apply phase correction, mitigating spherical aberrations caused by the refractive index mismatch at the oil-diamond interface.
  3. High-NA Focusing: Pulses were focused 20 ”m deep into the diamond using a high Numerical Aperture (NA=1.4) oil immersion objective lens to minimize focal volume (simulated FWHM: ~50 nm radial, ~250 nm axial).
  4. Parameter Tuning: Pulse energy was precisely controlled via a half-wave-plate and polariser. Pulse duration was tuned via the CPA compression. NA was varied using a blazed grating on the SLM.
  5. Defect Quantification: Photoluminescence (PL) spectroscopy (532 nm excitation) was used to measure the intensity of the GR1 fluorescence peak (740 nm), which corresponds directly to the concentration of neutral vacancies.
  6. Modeling: A coupled non-linear partial differential equation (PDE) model was developed and numerically solved to simulate the evolution of optical intensity, carrier concentrations, lattice temperature, and Frenkel defect concentration over time.

This research highlights the critical need for ultra-high quality diamond materials and precision engineering capabilities to advance solid-state quantum technologies. 6CCVD is uniquely positioned to supply the necessary substrates and customization services to replicate and extend this work.

To replicate the high-precision defect engineering demonstrated, researchers require diamond substrates with extremely low intrinsic nitrogen content to ensure that generated vacancies are isolated and controllable, rather than forming background NV centers.

  • Recommendation: Optical Grade Single Crystal Diamond (SCD)
    • Purity: We offer Ultra-Low Nitrogen SCD (sub-ppb levels achievable) necessary for minimizing background NV centers and maximizing the coherence time of engineered defects.
    • Thickness: SCD plates available from 0.1 ”m up to 500 ”m, allowing flexibility for both thin-film device integration and bulk experiments at depths up to 20 ”m, as used in this study.

The use of high-NA objectives and Solid Immersion Lenses (t-SIL, mentioned in the paper) demands exceptional surface quality and precise geometry.

Requirement from Research6CCVD CapabilityTechnical Advantage
Ultra-Smooth SurfacePolishing: Ra < 1 nm (SCD)Essential for high-NA/SIL coupling, minimizing scattering losses, and ensuring optimal focal confinement for nanoscale defect writing.
Custom GeometriesLaser Cutting/Shaping: Custom dimensions and shapes.Allows for the fabrication of specific chips, waveguides, or integration with t-SILs, which require precise substrate dimensions.
Device IntegrationMetalization: Internal capability for Au, Pt, Pd, Ti, W, Cu.Enables the integration of engineered defects into functional quantum devices requiring electrodes or microwave structures.
Substrate SizeLarge Format: PCD wafers up to 125 mm diameter.While SCD was used here, our large PCD capability supports scaling up related sensor or thermal management applications.

The complexity of ultra-fast laser-matter interaction—involving multi-photon absorption, carrier dynamics, and thermal activation—requires specialized knowledge.

  • Expert Consultation: 6CCVD’s in-house PhD team specializes in MPCVD growth and material science, offering consultation on material selection (e.g., optimizing nitrogen concentration for NV formation vs. ultra-pure SCD for SiV/GeV formation).
  • Process Optimization: We provide technical support to assist researchers in selecting the optimal diamond specifications (crystallographic orientation, surface termination, thickness) required to optimize laser fabrication parameters for similar Frenkel Defect Generation projects.
  • Global Logistics: We ensure reliable global shipping (DDU default, DDP available) for time-sensitive research projects.

For custom specifications or material consultation, visit 6ccvd.com or contact our engineering team directly.

View Original Abstract

Engineering single atomic defects into wide bandgap materials has become an attractive field\nin recent years due to emerging applications such as solid-state quantum bits and sensors. The\nsimplest atomic-scale defect is the lattice vacancy which is often a constituent part of more complex\ndefects such as the nitrogen-vacancy (NV) centre in diamond, therefore an understanding of the\nformation mechanisms and precision engineering of vacancies is desirable. We present a theoretical\nand experimental study into the ultra-fast laser generation of vacancy-interstitial pairs (Frenkel\ndefects) in diamond. In a range of other materials, Frenkel defect formation has previously been\nlinked to the recombination of laser generated excitonic states, however the mechanism in diamond\nis currently unknown and to date no quantitative agreement has been found between experiment\nand theory. Here, we find that a model for Frenkel defect generation via the recombination of\na bound biexciton as the electron plasma cools provides good agreement with experimental data.\nThe process is described by a set of coupled rate equations of the pulsed laser interaction with the\nmaterial and of the non-equilibrium dynamics of charge carriers during and in the wake of the pulse.