Mean-field theory for superconductivity in twisted bilayer graphene

Bibliographic Details
Title: Mean-field theory for superconductivity in twisted bilayer graphene
Authors: Peltonen, T. J., Ojajärvi, R., Heikkilä, T. T.
Source: Phys. Rev. B 98, 220504 (2018)
Publication Year: 2018
Collection: Condensed Matter
Subject Terms: Condensed Matter - Superconductivity
More Details: 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.
Comment: 5+5 pages, 5+1 figures
Document Type: Working Paper
DOI: 10.1103/PhysRevB.98.220504
Access URL: http://arxiv.org/abs/1805.01039
Accession Number: edsarx.1805.01039
Database: arXiv
More Details
DOI:10.1103/PhysRevB.98.220504