6533b82ffe1ef96bd1295c15

RESEARCH PRODUCT

Mean-field theory for superconductivity in twisted bilayer graphene

Risto OjajärviTeemu J. PeltonenTero T. Heikkilä

subject

Magic anglesuprajohtavuusFOS: Physical sciences02 engineering and technologysuperconducting order parameter01 natural sciencesSuperconductivity (cond-mat.supr-con)superconducting phase transitionCondensed Matter::Superconductivity0103 physical sciencesgrafeeni010306 general physicsPhysicsSuperconductivityCouplingta114Condensed matter physicsCondensed Matter - SuperconductivityDopingFunction (mathematics)021001 nanoscience & nanotechnologysuperconducting gapMean field theory0210 nano-technologyBilayer grapheneExcitation

description

Recent experiments show how a bilayer graphene twisted around a certain magic angle becomes superconducting as it is doped into a region with approximate flat bands. We investigate the mean-field $s$-wave superconducting state in such a system and show how the state evolves as the twist angle is tuned, and as a function of the doping level. We argue that part of the experimental findings could well be understood to result from an attractive electron--electron interaction mediated by electron--phonon coupling, but the flat-band nature of the excitation spectrum makes also superconductivity quite unusual. For example, as the flat-band states are highly localized around certain spots in the structure, also the superconducting order parameter becomes strongly inhomogeneous.

https://doi.org/10.1103/physrevb.98.220504