Spontaneous symmetry breaking and Lifshitz transition in bilayer graphene

Lemonik, Y. and Aleiner, I. L. and Toke, C. and Falko, Vladimir (2010) Spontaneous symmetry breaking and Lifshitz transition in bilayer graphene. Physical review B, 82 (20): 201408. -. ISSN 1098-0121

Abstract

We derive the renormalization-group equations describing all the short-range interactions in bilayer graphene allowed by symmetry, the long-range Coulomb interaction, and band-structure parameters. For certain range of parameters, we predict the first-order phase transition to the uniaxially deformed gapless state accompanied by the change in the topology of the electron spectrum.