Phonon scattering induced carrier resistivity in twisted double-bilayer graphene
Xiao Li, Fengcheng Wu, S. Das Sarma
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 $\ensuremath{\theta}$. We show that at small twist angles ($\ensuremath{\theta}\ensuremath{\sim}{1}^{\ensuremath{\circ}}$) 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.