Ground state construction of bilayer graphene

Oberwolfach Workshop 1637, Germany

September 12, 2016

Abstract

We consider a model of weakly-interacting electrons in bilayer graphene. Bilayer graphene is a 2-dimensional crystal consisting of two layers of carbon atoms in a hexagonal lattice. Our main result is an expression of the free energy and two-point Schwinger function as convergent power series in the interaction strength. In this talk, I discuss the properties of the non-interacting model, and exhibit three energy regimes in which the energy bands are qualitatively different. I then sketch how this decomposition may be used to carry out the renormalization group analysis used to prove our main result.

Joint work with Alessandro Giuliani.

Slides

PDF:

• Jauslin_Oberwolfach_2016.pdf

• tarball: 16oberwolfach-1.0.tar.gz
• git repository: 16oberwolfach-git (the git repository contains detailed information about the changes in the slides as well as the source code for all previous versions).

References

This presentation is based on

• [GiJ15]: The ground state construction of bilayer graphene
  Alessandro Giuliani, Ian Jauslin, 2015
  (published in Reviews in Mathematical Physics, volume 28, issue 8, number 1650018, 2016)
  pdf, source