Is Thermal Conductivity of Graphene Divergent and Higher Than Diamond?

Abstract

The thermal conductivity of monolayer graphene is an outstanding challenge with no consensus reached on its exact value and length convergence so far. We consider four-phonon scattering, phonon renormalization, and an exact solution to phonon Boltzmann transport equation (BTE) from first principles. Using this computational formalism with unprecedented sampling grid, we show that when four-phonon scattering is included the thermal conductivity is convergent with system size at a room temperature value of 1300 W/(m$\cdot$K), which is lower than that of diamond. On the contrary, considering three-phonon scattering only yields divergence with size due to the momentum-conserving normal processes of flexural phonons.

References in corpus (8)

• Electric Field Effect in Atomically Thin Carbon Films
• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• Length-dependent thermal conductivity in suspended single-layer graphene
• Thermal conductivity of suspended pristine graphene measured by Raman spectroscopy
• A momentum conserving model with anomalous thermal conductivity in low dimension
• Optical generation and detection of local non-equilibrium phonons in suspended graphene
• Raman Linewidth Contributions from Four-Phonon and Electron-Phonon Interactions in Graphene
• Ultrahigh convergent thermal conductivity of carbon nanotubes from comprehensive atomistic modeling

Cited by in corpus (4)

• Quantum confinement theory of ultra-thin films: electronic, thermal and superconducting properties
• Thermoelectric transport in graphene under strain fields modeled by Dirac oscillators
• Acoustic phonon-restricted four-phonon interactions: Impact on thermal and thermoelectric transport in monolayer h-NbN
• Charge and energy transport in graphene with smooth finite-range disorder