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Sensing chiral magnetic noise via quantum impurity relaxometry

MetadataDetails
Publication Date2020-12-04
JournalPhysical review. B./Physical review. B
AuthorsAvinash Rustagi, Iacopo Bertelli, Toeno van der Sar, Pramey Upadhyaya
InstitutionsLeiden University, Purdue University West Lafayette
Citations29
AnalysisFull AI Review Included

Technical Documentation & Analysis: Chiral Magnetic Noise Sensing via QI Relaxometry

Section titled “Technical Documentation & Analysis: Chiral Magnetic Noise Sensing via QI Relaxometry”

This documentation analyzes the research demonstrating the critical role of chiral coupling in quantum impurity (QI) relaxometry, specifically utilizing Nitrogen-Vacancy (NV) centers in diamond to probe magnon dynamics in thin ferromagnetic films.

  • Chiral Theory Validation: A new theoretical framework, combining quantum relaxometry and Landau-Lifshitz-Gilbert (LLG) phenomenology, quantitatively models QI relaxation rates without requiring arbitrary scaling factors.
  • Core Mechanism: The study confirms that chiral coupling between spin > 1/2 QIs (like NV centers) and magnons is the central mechanism determining impurity relaxation.
  • Material System: Experiments utilized hybrid systems consisting of NV centers in Single Crystal Diamond (SCD) interfaced with thin films of Permalloy (Py) and Yttrium Iron Garnet (YIG).
  • Precision Requirement: Successful replication and extension of this work rely on ultra-high-quality SCD substrates to ensure long NV center coherence times and precise control over NV depth (45 nm to 430 nm).
  • Application: This work advances magnonics and the understanding of decoherence in hybrid quantum platforms, opening avenues for non-invasive, local sensing of chiral magnetic and electronic modes in condensed matter.
  • 6CCVD Value: 6CCVD provides the necessary high-purity, low-strain SCD substrates and custom fabrication services (polishing, metalization) required for scaling and integrating these advanced quantum sensors.

The following hard data points were extracted from the experimental benchmarks used to validate the chiral relaxometry theory.

ParameterValueUnitContext
Ferromagnet 1Permalloy (Py)N/AHybrid system benchmark
Py Film Thickness (L)20, 30nmUsed in NV-Py experiments
Py Saturation Magnetization (Ms)800emu/ccMaterial property
Py Gilbert Damping ($\alpha$)0.015N/AUsed in LLG modeling
Ferromagnet 2Yttrium Iron Garnet (YIG)N/AHybrid system benchmark
YIG Film Thickness (L)20nmUsed in NV-YIG experiments
YIG Saturation Magnetization (Ms)124emu/ccMaterial property
YIG Gilbert Damping ($\alpha$)0.0001N/AUltra-low damping material
Quantum Impurity SensorNV Center in DiamondN/APrototypical spin-1 QI
QI-Film Distance ($d_{QI}$)45 ± 5, 109 ± 10, 150-430nmCritical parameter for relaxation rate ($\Gamma_{\pm}$)
External Magnetic Field (Hext)0 to 50mTRange for measuring relaxation rates
Operating TemperatureRoom Temperature°CThermal population of magnons

The research relies on a combination of advanced theoretical modeling and highly controlled material fabrication and characterization techniques.

  1. Theoretical Modeling: Developed a “chiral theory” by combining the general framework of quantum relaxometry with the Landau-Lifshitz-Gilbert (LLG) phenomenology for magnon dynamics in thin magnetic films.
  2. Chirality Capture: The model inherently captures the chiral nature of magnon noise by including the combined effect of both bulk ($\nabla \cdot \mathbf{m}$) and surface ($\mathbf{m} \cdot \mathbf{n}$) magnetic charges, which generate counter-rotating magnetic fields of unequal amplitudes at the QI location.
  3. Hybrid System Construction: Utilized Nitrogen-Vacancy (NV) centers, a prototypical spin-1 QI, embedded in Single Crystal Diamond (SCD) and interfaced with thin ferromagnetic films (Py and YIG).
  4. NV Center Depth Control: Experiments required precise control over the distance ($d_{QI}$) between the NV center and the magnetic film interface, ranging from 45 nm up to 430 nm, achieved via controlled ion implantation and annealing processes.
  5. Relaxometry Measurement: Measured the spin relaxation rates ($\Gamma_{-}$ and $\Gamma_{+}$) corresponding to the $m_s = 0 \rightarrow -1$ and $m_s = 0 \rightarrow +1$ transitions, respectively, as a function of external magnetic field ($H_{ext}$).
  6. Quantitative Benchmarking: Validated the chiral theory against experimental data using only known material parameters (e.g., $M_s$, $\alpha$, $A_{ex}$) and geometry parameters (L, $d_{QI}$), demonstrating quantitative agreement without the need for arbitrary scaling factors.

Replicating and extending this foundational work in chiral magnonics requires diamond materials with exceptional purity, precise dimensional control, and advanced surface preparation. 6CCVD is uniquely positioned to supply the necessary components.

Research Requirement6CCVD Applicable MaterialsCustomization Potential & Advantage
High-Coherence QI Host (Low strain, low nitrogen content for stable NV centers)Optical Grade Single Crystal Diamond (SCD)Our SCD is grown via MPCVD, ensuring ultra-low impurity levels (sub-ppm nitrogen) and minimal strain, maximizing NV center coherence times ($T_2$) essential for sensitive relaxometry.
Precise Sensor Depth Control (Required $d_{QI}$ from 45 nm to 430 nm)Custom Thickness SCD WafersWe offer SCD plates with thickness control from 0.1 ”m up to 500 ”m. This enables researchers to select optimal starting material thickness for subsequent shallow ion implantation or delta-doping techniques.
Low-Noise Interface Coupling (Interfacing diamond with Py/YIG thin films)Ultra-Smooth PolishingOur SCD wafers are polished to an industry-leading surface roughness of Ra < 1 nm. This minimizes scattering losses and ensures intimate, low-defect coupling between the NV center’s magnetic field and the deposited ferromagnetic film.
Scaling and Integration (Moving from single-NV to arrayed sensors or integrated circuits)Custom Dimensions & MetalizationWe provide custom plates/wafers up to 125 mm (PCD) and inch-size SCD. We offer in-house metalization services (Au, Pt, Pd, Ti, W, Cu) for creating microwave antennas or contact pads necessary for advanced quantum device integration.
Alternative Sensing Platforms (Exploring other QI systems)Boron-Doped Diamond (BDD)For researchers exploring electrochemical sensing or superconducting hybrid systems, our BDD material offers tunable conductivity and high surface area options.

6CCVD’s in-house team of PhD material scientists and engineers specializes in MPCVD growth optimization. We offer comprehensive engineering support for projects involving:

  • Material selection for QI-relaxometry and advanced magnonics applications.
  • Optimization of diamond surface preparation prior to thin-film deposition (Py, YIG, etc.).
  • Design consultation for custom metalization stacks (e.g., Ti/Pt/Au) required for microwave delivery or electrical readout in hybrid quantum devices.
  • Global shipping is available (DDU default, DDP available) to ensure timely delivery of critical materials worldwide.

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

View Original Abstract

We present a theory for quantum impurity relaxometry of magnons in thin films, exhibiting quantitative agreement with recent experiments without needing arbitrary scale factors used in theoretical models thus far. Our theory reveals that chiral coupling between prototypical spin >1/2 quantum impurities and magnons plays a central role in determining impurity relaxation, which is further corroborated by our experiments on nickel films interfaced with nitrogen-vacancy centers. Along with advancing magnonics and understanding decoherence in hybrid quantum platforms with magnets, the ability of a quantum impurity spin to sense chiral magnetic noise presents an opportunity to probe chiral phenomena in condensed matter.