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Electronic structure and magneto-optical properties of silicon-nitrogen-vacancy complexes in diamond

MetadataDetails
Publication Date2020-09-01
JournalPhysical review. B./Physical review. B
AuthorsMarcin Roland ZemƂa, Kamil Czelej, Paulina KamiƄska, Chris G. Van de Walle, Jacek A. Majewski
InstitutionsUniversity of Warsaw, Warsaw University of Technology
Citations21
AnalysisFull AI Review Included

Technical Documentation & Analysis: Si-N-V Complexes in MPCVD Diamond

Section titled “Technical Documentation & Analysis: Si-N-V Complexes in MPCVD Diamond”

This document analyzes the research on silicon-nitrogen-vacancy (Si-N-V) complexes in diamond, focusing on the implications for solid-state quantum technology and semiconductor doping. As an expert material scientist and technical sales engineer for 6CCVD, this analysis connects the theoretical findings to 6CCVD’s advanced MPCVD diamond capabilities.


  • Core Value: Identification and characterization of novel silicon-nitrogen-vacancy (Si-N-V) complexes in diamond, offering new pathways for solid-state quantum information processing (QIP) and n-type doping.
  • Quantum Emitter (SiNV$^{0}$): The neutral SiNV center is confirmed as a robust single-photon emitter with an optical transition at approximately 1530 nm, placing it squarely within the low-loss C band of telecommunication wavelengths.
  • High Efficiency: SiNV$^{0}$ exhibits high quantum efficiency, characterized by a low Huang-Rhys factor (0.78) and a significant Debye-Waller factor (46%), indicating minimal electron-phonon coupling and a sharp Zero-Phonon Line (ZPL).
  • Shallow Donor (SiN): The SiN dimer acts as a shallow donor, possessing a donor level 0.57 eV below the Conduction Band Minimum (CBM), comparable to substitutional phosphorus, suggesting potential for generating n-type conductivity in diamond.
  • Formation Mechanism: Complex formation is thermodynamically favorable but requires non-equilibrium synthesis (e.g., ion implantation or irradiation) followed by thermal annealing (above 600 °C) to facilitate vacancy and nitrogen diffusion.
  • Methodology: Advanced spin-polarized hybrid Density Functional Theory (SP-DFT) using the HSE06 functional was employed to calculate electronic structure, stability, hyperfine constants, and vibronic coupling.

Extracted hard data points relevant to material properties and defect characteristics:

ParameterValueUnitContext
ZPL Emission Wavelength1530nmSiNV$^{0}$ optical transition (a’ $\rightarrow$ a”)
ZPL Emission Energy0.81eVCorresponds to 1530 nm emission
Telecom BandCN/AWavelength falls within the lowest-loss telecom band
Huang-Rhys (HR) Factor (S$_{0}$)0.78N/ALow electron-phonon coupling for SiNV$^{0}$
Debye-Waller (DW) Factor (W$_{ZPL}$)46%High quantum efficiency for single-photon emission
SiN Donor Level0.57eVBelow Conduction Band Minimum (CBM)
SiNV Acceptor Level1.24eVBelow CBM
SiNV$^{0}$ Spin StateS = 1/2N/AParamagnetic doublet ground state
SiN Quasi-Local Mode (e)477cm-1Doubly degenerate vibrational mode
SiNV Quasi-Local Mode (a’)480cm-1Symmetric stretching mode
Vacancy Migration Barrier ($\Delta E_{V}^{m}$)2.7eVInitiates diffusion at approximately 800 °C
N Interstitial Migration Barrier ($\Delta E_{N_{i}}^{m}$)1.7eVInitiates diffusion above 600 °C

The theoretical investigation utilized advanced computational techniques to predict the properties of Si-N-V complexes, providing a roadmap for experimental synthesis and characterization:

  1. Computational Framework: Spin-polarized hybrid Density Functional Theory (SP-DFT) was employed, utilizing the HSE06 functional for accurate prediction of defect levels and electronic transitions.
  2. Supercell Modeling: A large cubic 512-atom supercell was used to minimize finite-size effects, crucial for accurately modeling localized point defects.
  3. Structural Relaxation: Atomic positions were relaxed until Hellmann-Feynman forces were below 0.01 eV/Å, ensuring accurate ground-state geometries (e.g., SiN C${3v}$, SiNV C${1h}$).
  4. Excited State Calculation: The constrained Density Functional Theory (ASCF) method was applied to determine the potential energy surface of excited states and calculate the Zero-Phonon Line (ZPL) values.
  5. Vibrational Analysis: Density Functional Perturbation Theory (DFPT) was used to calculate phonon spectra, applying a strict 10-4 eV/Å force convergence criterion to identify quasi-local vibrational modes (e.g., 480 cm-1 for SiNV).
  6. Kinetic Pathway Analysis: The climbing-image nudged-elastic-band method (CI-NEB) determined migration barriers (1.7 eV for N interstitial, 2.7 eV for vacancy), defining the necessary thermal annealing conditions (above 600 °C) for complex formation.

This research confirms the critical role of precise defect engineering in MPCVD diamond for advancing quantum technologies and semiconductor applications. 6CCVD is uniquely positioned to supply the foundational materials required to replicate and extend these findings, offering unparalleled control over purity, doping, and geometry.

To successfully synthesize and characterize Si-N-V complexes, researchers require high-purity, precisely doped diamond substrates.

Research Requirement6CCVD Material SolutionTechnical Rationale & Benefit
SiNV$^{0}$ Emitter IsolationOptical Grade Single Crystal Diamond (SCD)Ultra-low nitrogen background is essential to isolate the SiNV$^{0}$ signal (1530 nm) from competing defects (like NV centers). 6CCVD SCD offers superior purity and low strain necessary for high-coherence QIP.
SiN Shallow Donor DevelopmentCustom N-Doped SCD or PCDPrecise control over nitrogen concentration is required for SiN dimer formation. We offer controlled in-situ nitrogen doping during MPCVD growth, followed by subsequent Si implantation/annealing.
High-Density Doping & ScalabilityPolycrystalline Diamond (PCD) WafersFor large-scale studies or device integration requiring high-density Si/N incorporation via implantation, our PCD wafers (up to 125mm diameter) provide robust, scalable substrates.
Thermal Stability & ActivationHigh-Purity SubstratesThe formation process requires high-temperature annealing (above 600 °C). Our SCD and PCD substrates are thermally stable and optimized for post-processing steps.

The paper highlights the SiNV$^{0}$ center’s potential for scalable quantum telecommunication networks, requiring integration into photonic structures. 6CCVD provides the necessary engineering services to bridge the gap between theoretical prediction and functional device:

  • Custom Dimensions: We supply plates and wafers up to 125mm (PCD) and custom SCD sizes, allowing researchers to scale up from lab experiments to prototype device fabrication.
  • Precise Thickness Control: We offer SCD and PCD layers from 0.1 ”m up to 500 ”m, enabling the creation of thin films optimized for defect implantation depth and subsequent etching into photonic structures.
  • Advanced Metalization: Integration of quantum emitters requires electrical contacts or waveguides. 6CCVD offers internal metalization capabilities (Au, Pt, Pd, Ti, W, Cu) customized to the researcher’s specific device design.
  • Surface Preparation: Achieving high-quality optical interfaces is critical for the 1530 nm emission. We guarantee ultra-smooth polishing (Ra < 1nm for SCD, < 5nm for inch-size PCD), minimizing scattering losses.

6CCVD’s in-house PhD team specializes in defect engineering and MPCVD growth optimization. We can assist researchers with material selection, doping profiles, and post-growth processing strategies (such as optimizing annealing temperatures, which the paper suggests should be above 600 °C) for similar Quantum Telecommunication and n-type Doping projects.

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

View Original Abstract

The silicon-vacancy (SiV) and nitrogen-vacancy (NV) centers in diamond are commonly regarded as prototypical defects for solid-state quantum information processing. Here we show that when silicon and nitrogen are simultaneously introduced into the diamond lattice these defects can strongly interact and form larger complexes. Nitrogen atoms strongly bind to Si and SiV centers and complex formation can occur. Using a combination of hybrid density functional theory (DFT) and group theory, we analyze the electronic structure and provide various useful physical properties, such as hyperfine structure, quasi-local vibrational modes, and zero-phonon line, to enable experimental identification of these complexes. We demonstrate that the presence of substitutional silicon adjacent to nitrogen significantly shifts the donor level toward the conduction band, resulting in an activation energy for the SiN center that is comparable to phosphorus. We also find that the neutral SiNV center is of particular interest due to its photon emission at $\sim$1530 nm, which falls within the C band of telecom wavelengths, and its paramagnetic nature. In addition, the optical transition associated with the SiNV$^0$ color center exhibits very small electron—phonon coupling (Huang—Rhys factor~=~0.78) resulting in high quantum efficiency (Debye-Waller factor = 46%) for single-photon emission. These features render this new center very attractive for potential application in scalable quantum telecommunication networks.