Phonon scattering induced carrier resistivity in twisted double bilayer graphene

Abstract

In this work we carry out a theoretical study of the phonon-induced resistivity in twisted double bilayer graphene (TDBG), in which two Bernal-stacked bilayer graphene devices are rotated relative to each other by a small angle $\theta$. We show that at small twist angles ($\theta \sim 1^{\circ }$) the effective mass of the TDBG system is greatly enhanced, leading to a drastically increased phonon-induced resistivity in the high-temperature limit where phonon scattering leads to a linearly increasing resistivity with increasing temperature. We also discuss possible implications of our theory on superconductivity in such a system, and provide an order of magnitude estimation of the superconducting transition temperature.

The submission is updated with the published and revised final version

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• Acoustic-phonon-mediated superconductivity in moiréless graphene multilayers
• Microscopic pairing mechanism, order parameter, and disorder sensitivity in moiré superlattices: Applications to twisted double-bilayer graphene
• Topological flat bands in rhombohedral tetralayer and multilayer graphene on hexagonal boron nitride moire superlattices
• Topological superconductivity, ferromagnetism, and valley-polarized phases in moire systems: Renormalization group analysis for twisted double bilayer graphene
• Electric-field-tunable electronic nematic order in twisted double-bilayer graphene
• Evolution of Superconductivity in Twisted Graphene Multilayers
• Strange metallicity of moiré twisted bilayer graphene
• Temperature-linear Resistivity in Twisted Double Bilayer Graphene
• Topological phases in N-layer ABC-graphene boron-nitride moire superlattices
• Phonon-limited resistivity of multilayer graphene systems
• Acoustic phonon contribution to the resistivity of twisted bilayer graphene
• Interplay of Landau quantization and interminivalley scatterings in a weakly coupled moiré superlattice
• The kinetic theory of ultra-subsonic fermion systems and applications to flat band magic angle twisted bilayer graphene
• Low-frequency and Moiré Floquet engineering: a review