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Giant shift upon strain on the fluorescence spectrum of VNNB color centers in h-BN

MetadataDetails
Publication Date2020-09-25
Journalnpj Quantum Information
AuthorsSong Li, Jyh-Pin Chou, Alice Hu, Martin B. Plenio, Péter Udvarhelyi
InstitutionsCity University of Hong Kong, Isfahan University of Technology
Citations37
AnalysisFull AI Review Included

Technical Documentation & Analysis: Strain Effects on 2D Quantum Emitters

Section titled “Technical Documentation & Analysis: Strain Effects on 2D Quantum Emitters”

Source Paper: Li et al., “Giant shift upon strain on the fluorescence spectrum of $V_{N} N_{B}$ color centers in h-BN,” npj Quantum Information (2020) 6:85.


This research investigates the $V_{N} N_{B}$ (Nitrogen antisite-vacancy pair) defect in hexagonal Boron Nitride (h-BN) as a candidate for single-photon emitters (SPEs) in two-dimensional (2D) materials, yielding critical insights for quantum information processing (QIP) and sensing applications.

  • Giant Strain Sensitivity: DFT calculations reveal a giant ZPL-strain coupling parameter of 12 eV/strain, leading to a massive 100 nm scattering of the Zero-Phonon Line (ZPL) emission for just ±1% strain.
  • Strong Electron-Phonon Coupling: The defect exhibits strong electron-phonon coupling ($F = 178$ meV), which is 2.5 times larger than the coupling observed in the benchmark Nitrogen-Vacancy (NV) center in diamond.
  • Optical Activation Mechanism: The strong coupling to out-of-plane membrane phonons activates an otherwise forbidden optical transition, reducing the ground state symmetry from $C_{2v}$ to $C_{s}$ (a static Pseudo Jahn-Teller system).
  • QIP Implications: The extreme strain sensitivity provides a mechanism for engineering strain-tunable quantum emitters and suggests the potential for developing highly sensitive nanoscale stress detectors.
  • Material Comparison: The $V_{N} N_{B}$ defect is confirmed as a strong candidate for the widely scattered Group-1 visible SPEs observed experimentally in h-BN (unstrained ZPL calculated at 1.90 eV / 645 nm).

ParameterValueUnitContext
Defect Type$V_{N} N_{B}$N/ANitrogen antisite-vacancy pair in h-BN
Calculated Unstrained ZPL Energy1.90eVCorresponds to 645 nm emission wavelength
ZPL-Strain Coupling Parameter12eV/strainQuantifies linear dependence of ZPL shift on strain
Maximum ZPL Wavelength Scattering~100nmResulting from ±1% axial strain in h-BN
Electron-Phonon Coupling Strength ($F$)178meV2.5x greater than NV center in diamond
Jahn-Teller Energy ($E_{JT}$)95meVEnergy stabilization due to symmetry reduction ($C_{2v}$ to $C_{s}$)
Calculated h-BN Band Gap5.9eVCalculated using HSE hybrid functional
DFT Energy Cutoff450eVUsed for plane-wave basis set expansion (VASP)
Ground State Symmetry$C_{s}$N/ADistorted configuration due to membrane phonons
Excited State Symmetry$C_{2v}$N/AStable configuration

The study employed advanced computational techniques to model the defect physics and strain response, providing a robust theoretical foundation for the observed phenomena.

  1. Ab Initio Simulation: Calculations were performed using Density Functional Theory (DFT) implemented in the Vienna ab initio simulation package (VASP).
  2. Hybrid Functional: The screened hybrid density functional (HSE) with a mixing parameter of 0.32 was used to accurately reproduce the experimental band gap of h-BN (5.9 eV) and calculate defect levels.
  3. Supercell Modeling: Strain was modeled by changing the lattice constant of a $9 \times 5\sqrt{3}$ orthorhombic supercell (160 atoms) to simulate uniaxial strain (parallel and perpendicular) to the $C_{2}$ axis.
  4. Excited State Determination: The ZPL energy was calculated as the total energy difference between the excited state and the ground state using the $\Delta$SCF method.
  5. Phonon Coupling Analysis: The adiabatic potential energy surface (APES) of the ground state was fitted to a Pseudo Jahn-Teller (PJT) model to quantify the electron-phonon coupling strength ($F$) and phonon frequency ($\hbar\omega$).

The research highlights the critical role of defect engineering, strain control, and robust material platforms for realizing functional quantum emitters. While this study focuses on h-BN, the findings directly inform the requirements for next-generation quantum devices, where diamond (SCD/PCD) remains the industry standard for stability and performance.

The paper explicitly compares the $V_{N} N_{B}$ defect to the NV center in diamond, noting that the h-BN defect has 2.5x stronger electron-phonon coupling. For engineers seeking stable, high-performance quantum platforms, 6CCVD recommends the following MPCVD diamond materials:

6CCVD MaterialRelevance to ResearchKey Advantage
Optical Grade SCDIdeal for replicating and extending NV center research (the benchmark mentioned in the paper).Ultra-low defect density, high purity, and superior thermal management for stable QIP operation.
High-Purity PCDSuitable for large-area quantum sensing arrays and mechanical resonator integration.Plates/wafers up to 125mm diameter, enabling scalable device fabrication.
Boron-Doped Diamond (BDD)Required for electro-mechanical systems and quantum sensing platforms (e.g., electrochemical sensing).Tunable conductivity and robust surface chemistry for integration with h-BN or other 2D materials.

The paper emphasizes that precise control over local strain is necessary to tune the ZPL emission for h-BN emitters. 6CCVD provides the necessary material customization to integrate diamond platforms with strain-sensitive 2D materials or to create diamond-based stress detectors.

  • Custom Dimensions & Substrates: 6CCVD provides SCD and PCD plates in custom dimensions and thicknesses (SCD: 0.1”m - 500”m; PCD: up to 500”m) and substrates up to 10mm thick, allowing for precise mechanical mounting and strain application systems.
  • Ultra-Low Roughness Polishing: Achieving nanoscale integration requires pristine surfaces. 6CCVD guarantees surface roughness of Ra < 1 nm for SCD and Ra < 5 nm for inch-size PCD, minimizing interfacial defects and unwanted strain gradients.
  • Integrated Metalization: The integration of quantum emitters into nanophotonic or electro-mechanical devices often requires custom contacts. 6CCVD offers in-house metalization services, including Au, Pt, Pd, Ti, W, and Cu, tailored to specific device geometries and bonding requirements.

The complex physics of the $V_{N} N_{B}$ defect (PJT effect, strong electron-phonon coupling) underscores the need for expert material control. 6CCVD specializes in controlling defect density and type in diamond, offering crucial support for similar projects.

  • Defect Engineering: 6CCVD’s in-house PhD team provides consultation on material selection and defect creation (e.g., NV, SiV, GeV centers) for projects requiring robust, strain-resistant quantum emitters, contrasting the extreme sensitivity found in h-BN.
  • Application Focus: We assist researchers in transitioning from theoretical models (like the DFT analysis presented here) to practical device fabrication for quantum sensing, QIP, and electro-mechanical systems.

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

View Original Abstract

Abstract We study the effect of strain on the physical properties of the nitrogen antisite-vacancy pair in hexagonal boron nitride ( h -BN), a color center that may be employed as a quantum bit in a two-dimensional material. With group theory and ab initio analysis we show that strong electron-phonon coupling plays a key role in the optical activation of this color center. We find a giant shift on the zero-phonon-line (ZPL) emission of the nitrogen antisite-vacancy pair defect upon applying strain that is typical of h -BN samples. Our results provide a plausible explanation for the experimental observation of quantum emitters with similar optical properties but widely scattered ZPL wavelengths and the experimentally observed dependence of the ZPL on the strain.