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Ultra-Low Thermal Conductivity of Moiré Diamanes

MetadataDetails
Publication Date2022-09-25
JournalMembranes
AuthorsSuman Chowdhury, V. A. Demin, Л. А. Чернозатонский, Alexander G. Kvashnin
InstitutionsInstitute of Biochemical Physics NM Emanuel, Shiv Nadar University
Citations7
AnalysisFull AI Review Included

Technical Documentation & Analysis: Ultra-Low Thermal Conductivity of Moiré Diamanes

Section titled “Technical Documentation & Analysis: Ultra-Low Thermal Conductivity of Moiré Diamanes”

This document analyzes the findings of the research paper “Ultra-Low Thermal Conductivity of Moiré Diamanes” (Membranes 2022, 12, 925) and aligns the material requirements with the advanced capabilities of 6CCVD’s MPCVD diamond portfolio.

The research demonstrates the extreme tunability of thermal conductivity (KL) in quasi-2D diamond membranes (Diamanes) by controlling the Moiré twist angle ($\theta$) and surface passivation (Hydrogen/Fluorine).

  • Extreme Thermal Tunability: KL is shown to be tunable across two orders of magnitude, ranging from ultra-high (1360 W/mK) in untwisted hydrogenated diamanes to ultra-low (32 W/mK) in highly twisted hydrogenated structures ($\theta=27.8^\circ$).
  • Material Basis: Diamanes, derived from fully passivated bi-layer graphene, exhibit diamond-like sp3 hybridization, making them ideal for high-performance thermal management and electronic applications.
  • Mechanism for Low KL: The sharp decrease in thermal conductivity is attributed to structural disorder caused by the twist angle, leading to high anharmonicity and enhanced phonon scattering (Umklapp scattering).
  • Electronic Potential: Moiré diamanes possess ultra-wide electronic band gaps of up to 4.5 eV, confirming their potential as high-quality protective and insulating materials for nanodevices.
  • Passivation Effect: Fluorination (heavy atoms) stabilizes the diamane structure, resulting in generally lower KL values than hydrogenated counterparts at $\theta=0^\circ$, but higher KL values at high twist angles due to reduced anharmonicity influence.
  • Application Focus: The ability to achieve both extremely high and extremely low KL values positions diamanes as prospective candidates for advanced thermoelectric devices and thermal management systems (heat sinks and insulators).

The following hard data points were extracted from the study, focusing on the thermal and electronic properties achieved through structural tuning.

ParameterValueUnitContext
Max Lattice Thermal Conductivity (KL)1360W/mKHydrogenated Diamane ($\theta=0^\circ$) at 300 K
Min Lattice Thermal Conductivity (KL)32W/mKHydrogenated Moiré Diamane ($\theta=27.8^\circ$) at 300 K
Fluorinated KL (Untwisted)361W/mKFluorinated Diamane ($\theta=0^\circ$) at 300 K
Fluorinated KL (Twisted)90W/mKFluorinated Moiré Diamane ($\theta=27.8^\circ$) at 300 K
Electronic Band Gap (Max)Up to 4.5eVMoiré Diamanes (Strong dependence on twist angle)
Twist Angles Studied ($\theta$)0, 13.2, 21.8, 27.8°Used for Moiré pattern formation
C-C Bond Length Range (Twisted)1.5 to 1.8ÅObserved in disordered Dn13 structure
Simulation Temperature Range300 to 900KUsed for KL temperature dependence fitting

The study relied on a sophisticated combination of ab initio methods and machine learning potentials to overcome the computational complexity of large Moiré supercells.

  1. Geometry Optimization: Performed using DFT (VASP package) within the generalized gradient approximation (Perdew-Burke-Ernzerhof functional) and the projector augmented wave method.
  2. Energy Cutoff & Spacing: Plane-wave energy cutoff set to 500 eV. Smallest allowed spacing between k-points was 0.25 Å-1. Vacuum distance set to no less than 15 Å.
  3. Machine Learning (ML) Potentials: Moment Tensor Potentials (MTP) were chosen for their high accuracy in reproducing phononic properties, replacing resource-consuming DFT calculations for anharmonic force constants.
  4. AIMD Training: MTPs were trained over short ab initio molecular dynamic (AIMD) trajectories, using two configuration sets: 50 K constant temperature and temperature reduction from 1000 K to 200 K (2000 time steps each). Time step was 1 fs.
  5. Lattice Thermal Conductivity (KL) Calculation: Determined by solving the phonon Boltzmann Transport Equation (BTE) within the relaxation time approximation, implemented using the ShengBTE package. Fifth-nearest neighbor interactions were included.

The research highlights the critical role of high-quality, diamond-like materials in achieving extreme thermal properties for next-generation thermal management and electronic devices. 6CCVD is uniquely positioned to supply the foundational MPCVD diamond materials necessary to replicate, test, and scale this research.

Applicable Materials for Thermal Management

Section titled “Applicable Materials for Thermal Management”

The paper identifies two critical thermal regimes: ultra-high conductivity (for heat sinks) and ultra-low conductivity (for insulators/thermoelectrics). 6CCVD provides the necessary baseline materials for both.

Application Requirement6CCVD Material SolutionKey Capability Alignment
High KL Baseline (Heat Sinking)Optical Grade Single Crystal Diamond (SCD)SCD offers the highest intrinsic thermal conductivity (> 2000 W/mK), far exceeding the 1360 W/mK baseline achieved in the untwisted diamanes. Ideal for high-power electronics and thermal spreaders.
Tunable/Low KL ResearchPolycrystalline Diamond (PCD) WafersPCD allows for large-area processing (up to 125mm diameter) and is suitable for subsequent surface functionalization (H/F) and thin-film deposition required to create the Moiré diamane structures.
Thermoelectric DevicesHeavy Boron-Doped Diamond (BDD)BDD provides tunable electrical conductivity while maintaining high thermal stability, essential for optimizing the Seebeck effect in advanced thermoelectric applications mentioned in the paper.

Customization Potential for Moiré Diamane Integration

Section titled “Customization Potential for Moiré Diamane Integration”

The fabrication of 2D Moiré structures requires precise handling, thin films, and integration with device architectures. 6CCVD offers specialized services to meet these demands:

  • Custom Dimensions and Thickness: The research involves ultra-thin films. 6CCVD supplies SCD and PCD plates/wafers with thicknesses ranging from 0.1 µm to 500 µm, allowing researchers to select the optimal starting substrate thickness for subsequent transfer or growth processes.
  • Large-Area Substrates: We provide inch-size PCD wafers (up to 125mm), crucial for scaling up experimental results from computational models to practical, large-area device prototypes.
  • Advanced Surface Preparation: Our internal polishing capabilities achieve ultra-low roughness (Ra < 1 nm for SCD, Ra < 5 nm for PCD), ensuring an atomically flat surface necessary for controlled bi-layer graphene deposition and subsequent diamane formation.
  • Custom Metalization Services: For integrating diamanes into functional devices (e.g., thermoelectric junctions), 6CCVD offers in-house deposition of standard and custom metal stacks, including Au, Pt, Pd, Ti, W, and Cu.

6CCVD’s in-house PhD team specializes in the fundamental properties and growth of MPCVD diamond. We can assist researchers in material selection and optimization for similar 2D Diamond Membrane and Thermal Management projects. Our expertise ensures that the starting diamond substrate meets the stringent requirements for advanced functionalization and device integration.

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

View Original Abstract

Ultra-thin diamond membranes, diamanes, are one of the most intriguing quasi-2D films, combining unique mechanical, electronic and optical properties. At present, diamanes have been obtained from bi- or few-layer graphene in AA- and AB-stacking by full hydrogenation or fluorination. Here, we study the thermal conductivity of diamanes obtained from bi-layer graphene with twist angle θ between layers forming a Moiré pattern. The combination of DFT calculations and machine learning interatomic potentials makes it possible to perform calculations of the lattice thermal conductivity of such diamanes with twist angles θ of 13.2∘, 21.8∘ and 27.8∘ using the solution of the phonon Boltzmann transport equation. Obtained results show that Moiré diamanes exhibit a wide variety of thermal properties depending on the twist angle, namely a sharp decrease in thermal conductivity from high for “untwisted” diamanes to ultra-low values when the twist angle tends to 30∘, especially for hydrogenated Moiré diamanes. This effect is associated with high anharmonicity and scattering of phonons related to a strong symmetry breaking of the atomic structure of Moiré diamanes compared with untwisted ones.

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