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Solution to Electric Field Screening in Diamond Quantum Electrometers

MetadataDetails
Publication Date2020-07-28
JournalPhysical Review Applied
AuthorsL.M. Oberg, M. O. de Vries, L Hanlon, K. Strazdins, M S J Barson
InstitutionsUniversity of Stuttgart, Center for Integrated Quantum Science and Technology
Citations13
AnalysisFull AI Review Included

Technical Documentation & Analysis: Diamond Quantum Electrometers

Section titled “Technical Documentation & Analysis: Diamond Quantum Electrometers”

This document analyzes the research paper “A solution to electric-field screening in diamond quantum electrometers” and outlines how 6CCVD’s advanced MPCVD diamond capabilities directly support the replication and extension of this critical quantum sensing technology.


The research addresses the primary obstacle to sub-nanometer resolution electrometry using shallow Nitrogen-Vacancy (NV) centers in diamond: electric-field screening and charge quenching caused by surface defects.

  • Core Challenge: Primal sp2 surface defects on F-terminated diamond create acceptor states that readily quench the NV- charge state and cause intense field screening through charge rearrangement.
  • Proposed Solution: Introduction of a sacrificial Ns $\delta$-doped layer (nitrogen donors) positioned 30-100 nm below the surface.
  • Mechanism: The Ns $\delta$-doped layer pins the Fermi level, saturating the surface traps and preventing charge reorganization, thereby maintaining the NV- charge stability.
  • Achievement: Computational modeling demonstrates that this design can successfully mitigate screening effects (R < 1%) for surface trap densities up to $\approx 10^{16}$ m-2.
  • Material Requirement: Success hinges on the ability to fabricate ultra-pure Single Crystal Diamond (SCD) with precise, shallow, high-concentration nitrogen $\delta$-doping.
  • 6CCVD Value Proposition: 6CCVD specializes in the high-purity MPCVD SCD required for controlled $\delta$-doping and near-surface NV creation, offering the foundational material necessary for commercializing this quantum sensing device.

The following parameters are critical design constraints derived from the analytical toy model and experimental context presented in the paper.

ParameterValueUnitContext
Operating Temperature300KAmbient conditions (Room Temperature)
Target Screening Ratio (R)< 1%Required for precision electrometry
NV Center Depth ($d$)60nmShallow spin probe location (Toy Model)
$\delta$-Doped Layer Depth ($D$)30 - 100nmSacrificial Ns layer position
Maximum Viable Surface Trap Density ($\sigma_T$)$\approx 10^{16}$m-2Achievable with optimized $\delta$-doping
Observed Surface Trap Density (F-term)$\approx 10^{18}$m-2Primal sp2 defects on F-terminated diamond
Ns Donor Level Energy ($E_N$)3.8eVAbove Valence Band (VB)
sp2 Defect Energy ($E_T$)$\approx 2.2$eVAbove VB (Acceptor state)
NV- Energy ($E_{NV}$)2.9eVAbove VB
Diamond Dielectric Permittivity ($\epsilon_D$)$5.7\epsilon_0$N/AUsed in electrostatic modeling
Characteristic Debye Screening Length (N defects)15nmLow doping concentrations

The proposed solution relies on precise material engineering and theoretical modeling of the diamond/adlayer/atmosphere system.

  1. Three-Layered Dielectric Modeling: The system is modeled as three stacked planar dielectrics (Diamond, Water Adlayer, External Atmosphere) to analyze electric field screening using the method of images.
  2. Surface Passivation: Fluorine termination is utilized to mitigate screening from the water adlayer due to its strong dipolar hydrophobicity and positive electron affinity.
  3. Internal Defect Mitigation: The use of ultra-pure diamond is mandated to minimize uncontrolled nitrogen (Ns) defects, which cause detrimental Debye screening (characteristic decay length of 15 nm).
  4. Sacrificial $\delta$-Doping: A high-concentration Ns $\delta$-doped layer is introduced at a depth $D$ (30-100 nm) to act as a sacrificial donor layer, pinning the Fermi level and saturating the near-surface sp2 acceptor traps.
  5. Device Optimization: An analytical toy model (parallel plate capacitor) is used to optimize the $\delta$-doped layer depth ($D$) and the radius ($r$) of the Ns deficit hole (required for optical access) to maximize the compatible surface trap density ($\sigma_T$) while maintaining NV charge stability.

The successful implementation of this quantum electrometer design requires diamond substrates with exceptional purity, precise doping control, and custom fabrication features—all core competencies of 6CCVD.

To replicate and advance this research, engineers require the highest quality Single Crystal Diamond (SCD) with specialized doping profiles:

  • Optical Grade SCD: Essential for minimizing uncontrolled nitrogen defects (Ns) that cause internal Debye screening. 6CCVD provides high-purity SCD substrates necessary to achieve the required isotropic polarizability for precision electrometry.
  • Custom $\delta$-Doped SCD: The core innovation requires a sacrificial Ns $\delta$-doped layer positioned precisely between 30 nm and 100 nm below the surface. 6CCVD’s MPCVD expertise allows for sub-micron thickness control (down to 0.1 ”m) and precision doping, enabling the fabrication of these critical shallow donor layers.

The proposed device structure (Figure 7) necessitates precise dimensional control and specialized processing, which 6CCVD is uniquely positioned to deliver:

Research Requirement6CCVD CapabilityTechnical Advantage
Shallow NV/Doping Depth ($d$=60 nm, $D$=30-100 nm)SCD thickness control from 0.1 ”m to 500 ”m.Guarantees the precise placement of the Ns $\delta$-layer relative to the shallow NV centers.
Custom Geometries (Ns deficit hole radius $r$)Laser cutting and etching services for custom geometries.Allows researchers to optimize the optical access hole radius ($r$) (80 nm to 150 nm range specified) without compromising material quality.
Electrical Contacts (for potential gating/readout)In-house metalization services (Au, Pt, Pd, Ti, W, Cu).Enables rapid prototyping of electrodes and contacts required for the parallel plate capacitor structure and external field application.
Large Area DevicesPlates/wafers up to 125 mm (PCD) and large area SCD.Supports scaling from research prototypes to commercial quantum sensor arrays.
Surface QualitySCD polishing to Ra < 1 nm.Provides the ultra-smooth surface required for consistent F-termination and reliable modeling of the water adlayer.

6CCVD’s in-house PhD team can assist with material selection and growth recipe optimization for similar Quantum Electrometry and Quantum Sensing projects. We provide consultation on achieving ultra-low background nitrogen concentrations and implementing complex, multi-layer doping profiles (such as the Ns $\delta$-doped layer) necessary to overcome fundamental material limitations in quantum devices.

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

View Original Abstract

There are diverse interdisciplinary applications for nanoscale-resolution electrometry of elementary charges under ambient conditions. These include characterization of two-dimensional electronics, charge transfer in biological systems, and measurement of fundamental physical phenomena. The nitrogen-vacancy center in diamond is uniquely capable of such measurements, however electrometry thus far has been limited to charges within the same diamond lattice. It has been hypothesized that the failure to detect charges external to diamond is due to quenching and surface screening, but no proof, model, or design to overcome this has yet been proposed. In this work we affirm this hypothesis through a comprehensive theoretical model of screening and quenching within a diamond electrometer and propose a solution using controlled nitrogen doping and a fluorine-terminated surface. We conclude that successful implementation requires further work to engineer diamond surfaces with lower surface-defect concentrations.