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Large microwave inductance of granular boron-doped diamond superconducting films

MetadataDetails
Publication Date2021-06-14
JournalApplied Physics Letters
AuthorsBakhrom Oripov, Dinesh Kumar, Cougar Garcia, Patrick Hemmer, T. Venkatesan
InstitutionsNational University of Singapore, University of Maryland, College Park
Citations5
AnalysisFull AI Review Included

Technical Documentation & Analysis: High Kinetic Inductance Boron-Doped Diamond

Section titled “Technical Documentation & Analysis: High Kinetic Inductance Boron-Doped Diamond”

This research validates the use of granular Boron-Doped Diamond (BDD) thin films as a high-kinetic inductance (Lk) material, critical for next-generation quantum devices and detectors. 6CCVD’s MPCVD capabilities are ideally suited to replicate and optimize these structures.

  • High Kinetic Inductance: Granular BDD films exhibit unusually large microwave kinetic inductance, making them prime candidates for Microwave Kinetic Inductance Detectors (MKIDs) and high-impedance quantum circuits.
  • Granularity Confirmed: The measured zero-temperature magnetic penetration depth ($\lambda(0) \approx 2.19$ ”m) is significantly larger than theoretical estimates, confirming the strong granular nature necessary for high Lk performance.
  • Superconducting Performance: The material demonstrates a high critical temperature (Tc up to 7.2 K onset) and exhibits full s-wave superconducting behavior consistent with BCS theory, despite the granular microstructure.
  • Performance Enhancement: The study notes that decreasing film thickness substantially enhances the self-Kerr coefficient (nonlinearity), a key metric for quantum applications. 6CCVD offers precise thickness control down to 0.1 ”m.
  • Methodology: The Parallel Plate Resonator (PPR) technique was successfully employed to measure the in-plane complex surface impedance without requiring direct electrical contacts.
  • 6CCVD Advantage: 6CCVD specializes in MPCVD Polycrystalline Diamond (PCD) and BDD films, offering superior control over grain size and doping concentration required to engineer optimal disorder and maximize kinetic inductance.

The following hard data points were extracted from the analysis of Film “A” and related measurements, demonstrating the material’s superconducting properties.

ParameterValueUnitContext
Optimal Critical Temperature (Tc)7.2KDC Onset Measurement
Fitted Critical Temperature (Tc)6.717 ± 0.001KPPR Fit using Eq. (1)
Zero-Temperature Penetration Depth ($\lambda(0)$)2.189 ± 0.006”mPPR Fit (Large value due to granularity)
Superconducting Gap ($\Delta(0)$)924.38 ± 76.60”eVLow-Temperature Fit using Eq. (2)
Gap Ratio ($\Delta(0)$/kBTc)1.597DimensionlessClose to weak-coupled BCS limit (1.76)
Normal State Resistivity ($\rho_n$)2.32 ± 0.31mΩ cmEstimated from Normal State Surface Resistance (RN)
Film Thickness (t)1.5”mCross-sectional Electron Microscopy
Hall Concentration (nh)3.0 x 1021cm-3Measured on Film A
Self-Kerr Coefficient (K11)15.25mHz/photonMeasured on Film B at 100 mK
Dielectric Spacer Thickness (d)75 or 430”mSapphire (PPR setup)

The BDD films were synthesized using Hot Filament Chemical Vapor Deposition (HFCVD) to achieve the necessary high boron concentration and granular structure.

  1. Deposition Technique: Hot Filament Chemical Vapor Deposition (HFCVD) was used, resulting in granular (nanocrystalline) BDD films.
  2. Substrate Preparation: Silicon substrates were used, likely diamond-seeded to promote nucleation.
  3. Temperature and Pressure: The substrate temperature was maintained at 850 °C, and the chamber pressure was approximately 7 Torr.
  4. Gas Composition:
    • Methane (CH4): 80 sccm
    • Hydrogen (H2): 3000 sccm
    • Boron Source (B(CH3)3): Flow rate adjusted to achieve a B/C ratio of approximately 10,000 ppm.
  5. Measurement Technique: The in-plane complex surface impedance was measured using a Parallel Plate Resonator (PPR) technique, capacitively coupled via coaxial cables, cooled in a dilution refrigerator (T = 25 mK to Tc).

6CCVD is uniquely positioned to supply the advanced diamond materials required to replicate and extend this high-kinetic inductance research, particularly for applications in quantum computing and high-sensitivity detection.

The high kinetic inductance observed is directly linked to the granular microstructure and high boron doping. 6CCVD’s MPCVD process offers superior control over these parameters compared to the HFCVD method used in the paper.

  • Heavy Boron Doped Polycrystalline Diamond (BDD-PCD): This is the ideal material. 6CCVD can engineer the specific grain size and disorder required to maximize the magnetic penetration depth ($\lambda$) and kinetic inductance (Lk), replicating the desirable granular nature of the NCD films studied.
  • Ultra-Thin BDD Films: The research indicates that reducing film thickness enhances the self-Kerr coefficient (nonlinearity). 6CCVD offers BDD films with precise thickness control from 0.1 ”m up to 500 ”m, allowing researchers to optimize Lk and nonlinearity for specific device designs (e.g., compact resonators or quantum circuits).

The success of high-inductance devices relies heavily on precise geometry and integration. 6CCVD provides comprehensive customization services to meet these demands:

Requirement from Paper/Application6CCVD CapabilitySpecification
Film DimensionsCustom Plates/WafersUp to 125 mm (PCD)
Film Thickness (t)Ultra-precise controlSCD/PCD from 0.1 ”m to 500 ”m
Substrate IntegrationCustom SubstratesSubstrates up to 10 mm thickness
Device IntegrationCustom MetalizationIn-house deposition of Au, Pt, Pd, Ti, W, Cu
Surface QualityLow-loss PolishingRa < 5 nm (Inch-size PCD) for optimal resonator performance

Specific Note on Metalization: While the PPR measurement is contact-free, future quantum impedance devices (e.g., Josephson junctions, as referenced in the paper) require robust electrical contacts. 6CCVD offers custom metalization stacks (e.g., Ti/Pt/Au) tailored for superconducting diamond interfaces.

6CCVD’s in-house team of PhD material scientists and engineers specializes in optimizing MPCVD diamond for quantum applications.

  • Disorder Engineering: We assist researchers in tuning the MPCVD growth parameters (pressure, temperature, gas ratios) to control the grain size and boundary density, thereby optimizing the disorder necessary to achieve maximum kinetic inductance and Tc in BDD films.
  • Material Selection for MKIDs: Our team provides consultation on selecting the optimal BDD doping level and thickness required to achieve specific resonant frequencies and quality factors (Q) for Microwave Kinetic Inductance Detectors (MKIDs) projects.
  • Global Logistics: We ensure reliable, global shipping (DDU default, DDP available) of sensitive diamond materials directly to your research facility.

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

View Original Abstract

Boron-doped diamond granular thin films are known to exhibit superconductivity with an optimal critical temperature of Tc=7.2 K. Here, we report the measured in-plane complex surface impedance of boron-doped diamond films in the microwave frequency range using a resonant technique. Experimentally measured inductance values are in good agreement with estimates obtained from the normal state sheet resistance of the material. The magnetic penetration depth temperature dependence is consistent with that of a fully gapped s-wave superconductor. Boron-doped diamond films should find application where high kinetic inductance is needed, such as microwave kinetic inductance detectors and quantum impedance devices.

  1. 2005 - Origin of the metallic properties of heavily boron-doped superconducting diamond [Crossref]
  2. 2012 - Vertical SNS weak-link Josephson junction fabricated from only boron-doped diamond [Crossref]
  3. 2010 - Superconductivity in diamond [Crossref]
  4. 2004 - Dependence of the superconducting transition temperature on the doping level in single-crystalline diamond films [Crossref]
  5. 2004 - Superconductivity in diamond thin films well above liquid helium temperature [Crossref]
  6. 2018 - Tc suppression and impurity band structure in overdoped superconducting boron-doped diamond films [Crossref]
  7. 2008 - Constraints on Tc for superconductivity in heavily boron-doped diamond [Crossref]
  8. 2020 - High-temperature conventional superconductivity in the boron-carbon system: Material trends [Crossref]
  9. 2017 - Discovery of high-temperature superconductivity (tc = 55 k) in b-doped q-carbon [Crossref]
  10. 2018 - Isatin detection using a boron-doped diamond 3-in-1 sensing platform [Crossref]