Skip to content

Four-Order Power Reduction in Nanoscale Electron–Nuclear Double Resonance with a Nitrogen-Vacancy Center in Diamonds

MetadataDetails
Publication Date2024-02-23
JournalNano Letters
AuthorsZhiyi Hu, Feng-Jian Jiang, Jingyan He, Yulin Dai, Ya Wang
InstitutionsHefei University of Technology, University of Science and Technology of China
Citations1
AnalysisFull AI Review Included

Technical Documentation: Energy-Efficient Nanoscale NMR via PM-HHDR in Diamond

Section titled “Technical Documentation: Energy-Efficient Nanoscale NMR via PM-HHDR in Diamond”

Reference: Hu et al., “Four-order power reduction in nanoscale electron-nuclear double resonance with a nitrogen-vacancy center in diamond” (arXiv:2409.03339v1, 2024).

This research demonstrates a breakthrough in nanoscale Nuclear Magnetic Resonance (NMR) spectroscopy using Nitrogen-Vacancy (NV) centers in diamond, achieving unprecedented energy efficiency under high magnetic fields.

  • Four-Order Power Reduction: The Phase-Modulation Hartmann-Hahn Double Resonance (PM-HHDR) scheme reduces the required microwave power by over four orders of magnitude compared to conventional dynamical decoupling (DD) protocols (e.g., XY-N).
  • Field Strength Reduction: The required microwave field amplitude is reduced to 1/250 of previous requirements, effectively mitigating power broadening and sample heating, which are critical limitations in high-field quantum sensing.
  • High-Field Operation: The technique successfully detects intrinsic 13C nuclear spins under high static magnetic fields up to 3015 Gs.
  • High Spectral Resolution: A minimal spectral line-width of 2.1 kHz is achieved at 1840 Gs, allowing four weakly-coupled individual 13C nuclear spins to be clearly distinguished from the spin bath.
  • Methodological Advancement: The PM-HHDR scheme utilizes phase modulation to down-convert high-frequency microwave fields, extending the resonant condition to both sidebands for broader applicability, including ultra-low or zero-field sensing.
  • Stability Control: Performance is enhanced by implementing single-spin lock-in detection and PID-based temperature control, maintaining stability within ±5 mK.

The following hard data points were extracted from the experimental results, demonstrating the performance metrics of the PM-HHDR scheme:

ParameterValueUnitContext
Microwave Power Reduction> 4 OrdersN/ACompared to standard DD schemes (XY-N, HHDR)
Microwave Field Reduction1/250N/ACompared to conventional HHDR/XY-N requirements
Maximal Magnetic Field (Bz)3015GsHighest field tested for PM-HHDR 13C detection
Standard Operating Field (Bz)1840GsField used for high-resolution spectroscopy
Minimal Spectral Line-width2.1kHzAchieved at 1840 Gs (C1 spin)
Average Spectral Line-width3.5kHzAverage line-width for PM-HHDR at 1840 Gs
Effective Rabi Frequency (Ω’)104kHzUsed for high-resolution PM-HHDR (Fig. 3a)
Interrogation Time (tf)300µsUsed for high-resolution PM-HHDR
Temperature Stability±5mKPID-based control for improved performance
Zero-Field Splitting (D)≈ 2870MHzNV center characteristic

The PM-HHDR scheme relies on precise control of the electron spin state and microwave field modulation to achieve energy-efficient coupling to nuclear spins.

  1. Platform Selection: Experiments utilized single Nitrogen-Vacancy (NV) centers (NV1 and NV2) in diamond, leveraging the NV electron spin as a nanoscale sensor coupled to intrinsic 13C nuclear spins.
  2. Pulse Sequence: The scheme combines Phase-Modulation (PM) with Continuous-Wave Dynamical Decoupling (CWDD), replacing the standard CWDD driven field with a phase-modulated field (Hc).
  3. Phase Modulation: The phase (φ) of the microwave field is switched periodically between 0 and π at a modulation frequency (ν), effectively acting as a mixer to down-convert the high-frequency microwave fields.
  4. Resonance Tuning: The effective Rabi frequency (Ω’) and modulation frequency (ν) are tuned to satisfy the modified resonant condition for double resonance (DR): |Ω’ ± ν| = |γnBz - A||/2|.
  5. High-Field Environment: The system was operated under high static magnetic fields (Bz) applied along the NV axis, necessitating the low-power PM-HHDR scheme to avoid power broadening.
  6. Noise Suppression: Experimental performance was optimized using a single-spin lock-in detection technique and active temperature stabilization (PID control) to minimize noise in microwave amplitude and environmental fluctuations.

The successful implementation of PM-HHDR for high-field nanoscale NMR requires ultra-high quality diamond substrates and precise fabrication capabilities. 6CCVD is uniquely positioned to supply the foundational materials and custom engineering services necessary to replicate and advance this research.

Applicable Materials6CCVD Solution & CapabilityTechnical Advantage for PM-HHDR
High-Coherence SubstratesOptical Grade Single Crystal Diamond (SCD): High-purity, low-strain material available in thicknesses from 0.1 µm up to 500 µm.Maximizes the electron spin coherence time (T2* and T), which is the ultimate limit for achieving sub-kHz spectral resolution in future experiments.
Controlled NV DensityCustom Nitrogen Doping: Supply of SCD wafers with controlled nitrogen concentrations (P1 centers) for precise NV creation via implantation and annealing.Allows researchers to optimize the NV density and depth profile for specific sensing targets, whether detecting intrinsic 13C spin bath or external in vitro nuclear spins.
High-Field IntegrationCustom Dimensions & Polishing: SCD plates available in custom sizes and polished to Ra < 1 nm. PCD wafers up to 125 mm diameter polished to Ra < 5 nm.Supports integration into complex, high-field NMR and quantum sensing apparatuses, ensuring minimal surface noise that could degrade spectral line-width.
Microwave CircuitryIn-House Metalization Services: Custom deposition of Au, Pt, Pd, Ti, W, and Cu films.Essential for fabricating the high-quality microwave transmission lines (e.g., coplanar waveguides) required to deliver the phase-modulated fields and high-frequency pulses used in the PM-HHDR protocol.
Boron Doped Diamond (BDD)BDD Films (SCD or PCD): Available for electrochemical or thermal applications related to bio-sensing, an application area mentioned in the paper.Provides a robust, conductive platform for integrating NV sensing with electrochemical detection or microfluidic systems.

Engineering Support: 6CCVD’s in-house PhD team specializes in material science and quantum defect engineering. We offer consultation to assist researchers in selecting the optimal diamond specifications (e.g., isotopic purity, nitrogen concentration, crystal orientation) required for high-field nanoscale NMR and bio-sensing projects utilizing the PM-HHDR scheme.

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

View Original Abstract

Detecting nuclear spins using single nitrogen-vacancy (NV) centers is of particular importance in nanoscale science and engineering but often suffers from the heating effect of microwave fields for spin manipulation, especially under high magnetic fields. Here, we realize an energy-efficient nanoscale nuclear-spin detection using a phase-modulation electron-nuclear double resonance scheme. The microwave field can be reduced to 1/250 of the previous requirements, and the corresponding power is over four orders lower. Meanwhile, the microwave-induced broadening to the line-width of the spectroscopy is significantly canceled, and we achieve a nuclear-spin spectrum with a resolution down to 2.1 kHz under a magnetic field at 1840 Gs. The spectral resolution can be further improved by upgrading the experimental control precision. This scheme can also be used in sensing microwave fields and can be extended to a wide range of applications in the future.