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ac Susceptometry of 2D van der Waals Magnets Enabled by the Coherent Control of Quantum Sensors

MetadataDetails
Publication Date2021-09-28
JournalPRX Quantum
AuthorsXin‐Yue Zhang, Yu‐Xuan Wang, Thomas A. Tartaglia, Siyuan Ding, Mason Gray
InstitutionsBoston College
Citations21
AnalysisFull AI Review Included

Technical Documentation & Analysis: Quantum-Enabled AC Susceptometry of 2D Magnets

Section titled “Technical Documentation & Analysis: Quantum-Enabled AC Susceptometry of 2D Magnets”

This research successfully demonstrates the use of Nitrogen-Vacancy (NV) centers in diamond for ultra-sensitive, quantitative AC susceptometry of two-dimensional (2D) van der Waals (vdW) magnets. This breakthrough establishes NV magnetometry as a true multi-modal probe for nanoscale spintronics.

  • Core Achievement: Developed a quantum-enabled AC susceptometry technique using coherent control (XY8-N dynamical decoupling) of NV center spins to probe dynamic magnetism in few-layer CrBr$_{3}$.
  • Sensitivity Benchmark: Achieved a remarkable AC magnetic field resolution of approximately 40 nT, exceeding prior DC magnetometry on 2D magnetic monolayers by two orders of magnitude.
  • Material Requirement: The platform relies critically on high-quality, near-surface NV ensembles hosted in a Single Crystal Diamond (SCD) substrate.
  • Physical Insights: Measurements revealed enhanced domain wall mobility in ultrathin CrBr$_{3}$ and provided quantitative data on critical exponents (Îł = 1.1 ± 0.3) and relaxation frequencies (up to ~2 MHz).
  • Application Potential: The technique is generic and opens the door to understanding sub-gigahertz magnetic dynamics in diverse 2D materials, including antiferromagnets, superconductors, and quantum spin liquids.
  • 6CCVD Value Proposition: 6CCVD specializes in the high-purity SCD substrates required for generating high-coherence, shallow NV ensembles necessary to replicate and scale this advanced quantum sensing platform.

The following hard data points were extracted from the research paper, highlighting the stringent requirements for the diamond substrate and experimental setup.

ParameterValueUnitContext
NV Center Depth~60nmShallow ensemble required for proximity sensing
AC Field Resolution~40nTAchieved sensitivity using XY8-N sequence
Minimum CrBr$_{3}$ Thickness Probed6layersUltrathin vdW magnet
Measured Flake Thickness (Flake A)7.4nm10 layers
Operating Temperature (Base)4KCryogenic environment
Curie Temperature (Tc)30.5 ± 0.5KDetermined for Flake A (10 layer)
Critical Exponent (γ)1.1 ± 0.3DimensionlessScaling near ferromagnetic phase transition
Excitation Frequency (fAC) Range119 to 714kHzUsed for frequency-dependent susceptibility
Domain Wall Relaxation Frequency (wc/2π)~2 to ~1MHzDecreases monotonically from 22 K to 10 K
Magnetic Moment Density (Simulated)148”B/nm2Saturated state for 10 layers CrBr$_{3}$

The experiment combined advanced material preparation with sophisticated quantum control sequences to achieve ultra-high sensitivity AC magnetometry.

  1. Substrate Preparation: Ultrathin CrBr$_{3}$ flakes were exfoliated onto a diamond magnetometer chip containing a near-surface ensemble of NV centers (depth ~60 nm).
  2. Cryogenic Setup: The substrate was transferred into a cryostat with minimized exposure to ambient conditions, enabling measurements down to 4 K.
  3. Field Delivery: An insulated wire coil adjacent to the diamond delivered both gigahertz-frequency microwave pulses for NV spin manipulation and the radio frequency (RF) excitation field (H$_{AC}$) for probing the AC response.
  4. DC Field Alignment: The static bias field (H$_{DC}$) was carefully aligned along one of the four NV center crystallographic orientations (54.7° to the surface normal).
  5. Quantum Sensing Protocol: AC susceptometry was performed using Dynamical Decoupling (DD) sequences (specifically XY8-N) to lock-in to the total resonant AC field (B${AC}^{Coil}$ + B${AC}^{Sample}$).
  6. Phase Control: The phase delay (ÎŽ) between the applied coil field and the train of $\pi$-pulses was controlled to isolate the in-phase (ÎŽ = 0) or out-of-phase (ÎŽ = $\pi$/2) magnetization response.
  7. Characterization: Optically-Detected Magnetic Resonance (ODMR) spectra were used for DC field sensing (hysteresis), while the DD sequences provided the high-sensitivity AC susceptibility data.

This research underscores the critical need for high-quality, specialized diamond substrates to advance quantum sensing and 2D materials research. 6CCVD is uniquely positioned to supply the necessary materials and customization services to replicate and scale this platform.

To replicate or extend this research, the following 6CCVD material is required:

  • Optical Grade Single Crystal Diamond (SCD): The foundation of the sensor is a high-purity SCD substrate. 6CCVD provides low-strain, high-crystalline quality SCD essential for generating high-density, near-surface NV center ensembles via techniques like ion implantation and annealing.
  • Substrate Orientation: SCD substrates can be supplied with precise crystallographic orientation control, crucial for aligning the NV center axis (as required by the 54.7° alignment in the paper) relative to the applied magnetic fields.

6CCVD’s advanced manufacturing capabilities directly address the needs of complex quantum sensing setups:

Research Requirement6CCVD CapabilityTechnical Advantage
Substrate Size & ThicknessCustom plates/wafers up to 125mm (PCD) and substrates up to 10mm thick.Enables scaling from small cryostat chips to larger wafer-level experiments while ensuring mechanical stability at 4 K.
Surface QualityPolishing to Ra < 1 nm (SCD).Essential for minimizing surface strain, maximizing NV coherence times (T${2}$), and ensuring successful, clean transfer of ultrathin 2D materials like CrBr${3}$.
Integrated Field DeliveryCustom Metalization: Au, Pt, Ti, Cu, Pd, W (Internal capability).Allows integration of on-chip microwave/RF transmission lines (CPWs) directly onto the diamond surface, replacing external coils for improved field homogeneity and efficiency in quantum control sequences (XY8-N).
Doping ControlBoron-Doped Diamond (BDD) available.For future extensions of this work requiring conductive diamond layers (e.g., integrated gates or electrodes) adjacent to the NV sensing layer.

6CCVD’s in-house team of material scientists and PhD engineers provides authoritative support for complex applications:

  • Material Optimization: We assist researchers in selecting the optimal SCD grade, orientation, and surface termination for maximizing NV center yield, minimizing noise, and achieving the highest possible coherence times (T$_{2}$) for advanced Quantum Sensing and 2D Spintronics projects.
  • Cryogenic Compatibility: Our SCD and PCD materials are certified for use in extreme environments, including the 4 K cryogenic temperatures utilized in this AC susceptometry experiment.
  • Global Logistics: We offer reliable global shipping (DDU default, DDP available) to ensure timely delivery of custom diamond solutions worldwide.

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

View Original Abstract

Precision magnetometry is fundamental to the development of novel magnetic\nmaterials and devices. Recently, the nitrogen-vacancy (NV) center in diamond\nhas emerged as a promising probe for static magnetism in 2D van der Waals\nmaterials, capable of quantitative imaging with nanoscale spatial resolution.\nHowever, the dynamic character of magnetism, crucial for understanding the\nmagnetic phase transition and achieving technological applications, has rarely\nbeen experimentally accessible in single 2D crystals. Here, we coherently\ncontrol the NV center’s spin precession to achieve ultra-sensitive,\nquantitative ac susceptometry of a 2D ferromagnet. Combining dc hysteresis with\nac susceptibility measurements varying temperature, field, and frequency, we\nilluminate the formation, mobility, and consolidation of magnetic domain walls\nin few-layer CrBr3. We show that domain wall mobility is enhanced in ultrathin\nCrBr3, with minimal decrease for excitation frequencies exceeding hundreds of\nkilohertz, and is influenced by the domain morphology and local pinning of the\nflake. Our technique extends NV magnetometry to the multi-functional ac and dc\nmagnetic characterization of wide-ranging spintronic materials at the\nnanoscale.\n