Bogolon-mediated electron scattering in graphene in hybrid Bose-Fermi systems

Abstract

We study electron scattering in graphene in hybrid Bose-Fermi systems. We calculate the energy-dependent electron relaxation time, accounting for the processes of emission and absorption of a Bogoliubov excitation (a bogolon). Then, using the Bloch-Grüneisen approach, we find the finite-temperature resistivity of graphene and show that its principal behavior is ∼T4 in the limit of low temperatures and linear at high temperatures. We show that bogolon-mediated scattering can surpass the acoustic-phonon-assisted relaxation. It can be controlled by the distance between the layers and the condensate density, giving us additional degrees of freedom and a useful tool to render electron mobility by the sample design and external pump. © 2019 American Physical Society