Jun 13 – 19, 2015
University of Alberta
America/Edmonton timezone
Welcome to the 2015 CAP Congress! / Bienvenue au congrès de l'ACP 2015!

Nematic and non-Fermi liquid phases of systems with quadratic band crossing

Jun 15, 2015, 1:45 PM
NINT Taylor room (University of Alberta)

NINT Taylor room

University of Alberta

Invited Speaker / Conférencier invité Condensed Matter and Materials Physics / Physique de la matière condensée et matériaux (DCMMP-DPMCM) M1-1 Topological States of Matter (DCMMP) / États topologiques de la matière (DPMCM)


Prof. Igor Herbut (Simon Fraser University)


I will review the recent work on the phases and quantum phase transitions in the electronic systems that feature the parabolic band touching at the Fermi level, the celebrated and well-studied example of which is the bilayer graphene. In particular, it will be argued that such three-dimensional systems are in principle unstable towards the spontaneous formation of the (topological) Mott insulator at weak long-range Coulomb interaction. The mechanism of the instability can be understood as the collision of non-Fermi liquid fixed point, discovered by Abrikosov in the `70s, with another, critical, fixed point, which approaches it in the coupling space as the system's dimensionality reaches certain ``critical dimension" from above. Some universal characteristics of this scenario, the width of the non-Fermi liquid crossover regime, and the observability of the nematic Mott phase in common gapless semiconductors such as gray tin or mercury tellurude will be discussed.

Primary author

Prof. Igor Herbut (Simon Fraser University)

Presentation materials