Deformation of graphene sheet: Interaction of fermions with phonons
Mesoscale and Nanoscale Physics
2021-07-21 v1 High Energy Physics - Theory
Abstract
We construct an effective low energy Hamiltonian which describes fermions dwelling on a deformed honeycomb lattice with dislocations and disclinations, and with an arbitrary hopping parameters of the corresponding tight binding model. It describes the interaction of fermions with a 2d gravity and has also a local SU(2) gauge invariance of the group of rotations. We reformulate the model as interaction of fermions with the deformation of the lattice, which forms a phonon field. We calculate the response of fermion currents to the external deformation or phonon field, which is a result of a Z_2 anomaly. This can be detected experimentally.
Keywords
Cite
@article{arxiv.2007.08372,
title = {Deformation of graphene sheet: Interaction of fermions with phonons},
author = {Ara Sedrakyan and Andreas Sinner and Klaus Ziegler},
journal= {arXiv preprint arXiv:2007.08372},
year = {2021}
}