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 (8)

• The electronic properties of graphene
• 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
• Electron-phonon heat transfer in monolayer and bilayer graphene
• Hot electron cooling by acoustic phonons in graphene
• Quantum kinetic equation and universal conductance fluctuations in graphene
• Chirality-dependent phonon-limited resistivity in multiple layers of graphene