Electron-phonon mediated heat flow in disordered graphene

Abstract

We calculate the heat flux and electron-phonon thermal conductance in a disordered graphene sheet, going beyond a Fermi's Golden rule approach to fully account for the modification of the electron-phonon interaction by disorder. Using the Keldysh technique combined with standard impurity averaging methods in the regime $k_{F}l>>1$ (where $k_F$ is the Fermi wavevector, l the mean free path), we consider both scalar potential (i.e. deformation potential) and vector potential couplings between electrons and phonons. We also consider the effects of electronic screening at the Thomas-Fermi level. We find that the temperature dependence of the heat flux and thermal conductance is sensitive to the presence of disorder and screening, and reflects the underlying chiral nature of electrons in graphene and the corresponding modification of their diffusive behaviour. In the case of weak screening, disorder enhances the low-temperature heat flux over the clean system (changing the associated power law from $T^4$ to $T^3$), and the deformation potential dominates. For strong screening, both the deformation potential and vector potential couplings make comparable contributions, and the low-temperature heat flux obeys a $T^5$ power law.

16 pages, 7 figures

References in corpus (23)

• The electronic properties of graphene
• Electronic transport in two dimensional graphene
• Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications
• Controlling electron-phonon interactions in graphene at ultra high carrier densities
• Weak localisation magnetoresistance and valley symmetry in graphene
• Acoustic phonon scattering limited carrier mobility in 2D extrinsic graphene
• Keldysh technique and non-linear sigma-model: basic principles and applications
• Disorder-Assisted Electron-Phonon Scattering and Cooling Pathways in Graphene
• Electronic Cooling in Graphene
• Theory of Spin-Charge Coupled Transport in a Two-Dimensional Electron Gas with Rashba Spin-Orbit Interactions
• Electron-phonon heat transfer in monolayer and bilayer graphene
• Spin and Charge Transport on the Surface of a Topological Insulator
• Energy Relaxation of Hot Dirac Fermions in Graphene
• Temperature-dependent resistivity of suspended graphene
• Unraveling the acoustic electron-phonon interaction in graphene
• Hot electron cooling by acoustic phonons in graphene
• Phonon Emission from a 2D Electron Gas: Evidence of Transition to the Hydrodynamic Regime
• Synthetic electric fields and phonon damping in carbon nanotubes and graphene
• Quantum kinetic equation and universal conductance fluctuations in graphene
• Ultra-sensitive and Wide Bandwidth Thermal Measurements of Graphene at Low Temperatures
• Chirality-dependent phonon-limited resistivity in multiple layers of graphene
• Deformation Electron-Phonon Coupling in Disordered Semiconductors and Nanostructures
• Piezoelectric electron-phonon interaction in impure semiconductors: 2D electrons versus composite fermions

Cited by in corpus (40)

• Observation of the Dirac fluid and the breakdown of the Wiedemann-Franz law in graphene
• Hydrodynamics of electrons in graphene
• Graphene-based Josephson junction microwave bolometer
• Bolometer operating at the threshold for circuit quantum electrodynamics
• Graphene-based Josephson junction single photon detector
• Hot-electron cooling by acoustic and optical phonons in monolayers of MoS${}_2$ and other transition-metal dichalcogenides
• Steady Floquet-Andreev States Probed by Tunnelling Spectroscopy
• Electron-phonon coupling in suspended graphene: supercollisions by ripples
• Transient absorption and photocurrent microscopy show hot electron supercollisions describe the rate-limiting relaxation step in graphene
• Performance of Graphene Thermal Photon Detectors
• Electron-phonon cooling in large monolayer graphene devices
• Development of high frequency and wide bandwidth Johnson noise thermometry
• Electron energy and temperature relaxation in graphene on a piezoelectric substrate
• Resonant supercollisions and electron-phonon heat transfer in graphene
• Graphene microbolometers with superconducting contacts for terahertz photon detection
• Electron cooling with graphene-insulator-superconductor tunnel junctions and applications to fast bolometry
• Thermoelectric effect enhanced by the resonant states in graphene
• Thermoelectric and thermospin transport in a ballistic junction of graphene
• Measurement of the electronic thermal conductance channels and heat capacity of graphene at low temperature
• Energy transport via multiphonon processes in graphene
• Onset of optical-phonon cooling in multilayer graphene revealed by RF noise and black-body radiation thermometries
• Inelastic scattering and cooling of photoexcited electrons through coupling with acoustic, optic and surface polar optic phonons in graphene
• Bloch-Grüneisen temperature and universal scaling of normalized resistivity in doped graphene revisited
• Nonlinear vs. bolometric radiation response and phonon thermal conductance in graphene-superconductor junctions
• Continuous and reversible tuning of the disorder-driven superconductor-insulator transition in bilayer graphene
• Disorder Induced Anomalous Hall Effect in Type-I Weyl Metals: Connection between the Kubo-Streda Formula in the Spin and Chiral basis
• Non-equilibrium properties of graphene probed by superconducting tunnel spectroscopy
• Coherent Manipulation of Thermal Transport by Tunable Electron-Photon and Electron-Phonon Interaction
• Flexural phonons in supported graphene: from pinning to localization
• Effect of piezoelectric substrate on phonon-drag thermopower in monolayer graphene
• Hot Carrier Thermalization and Josephson Inductance Thermometry in a Graphene-based Microwave Circuit
• Sub-Kelvin Lateral Thermal Transport in Diffusive Graphene
• Valley current in graphene through electron-phonon interaction
• The role of vector potential coupling in hot electron cooling power in bilayer graphene at low temperature
• Observation of vacancy-induced suppression of electronic cooling in defected graphene
• Active electron cooling of graphene
• Out-of-equilibrium nonlinear model of thermoelectricity in superconducting tunnel junctions
• Performance limits due to thermal transport in graphene single-photon bolometers
• Graphene resistivity in diffusive limit due to scalar and vector potential electron-phonon scattering
• Graphene-based Bolometers