Electron-electron interactions in non-equilibrium bilayer graphene
Abstract
Conducting steady-states of doped bilayer graphene have a non-zero sublattice pseudospin polarization. Electron-electron interactions renormalize this polarization even at zero temperature, when the phase space for electron-electron scattering vanishes. We show that because of the strength of interlayer tunneling, electron-electron interactions nevertheless have a negligible influence on the conductivity which vanishes as the carrier number density goes to zero. The influence of interactions is qualitatively weaker than in the comparable cases of single-layer graphene or topological insulators, because the momentum-space layer pseudospin vorticity is 2 rather than 1. Our study relies on the quantum Liouville equation in the first Born approximation with respect to the scattering potential, with electron-electron interactions taken into account self-consistently in the Hartree-Fock approximation and screening in the random phase approximation. Within this framework the result we obtain is exact.
Cite
@article{arxiv.1212.5600,
title = {Electron-electron interactions in non-equilibrium bilayer graphene},
author = {Wei-Zhe Liu and Allan H. MacDonald and Dimitrie Culcer},
journal= {arXiv preprint arXiv:1212.5600},
year = {2015}
}