Topological matter: Graphene and superfluid 3He

Abstract

The physics of graphene and of the superfluid phases of 3He have many common features. Both systems are topological materials where quasiparticles behave as relativistic massless (Weyl, Majorana or Dirac) fermions. We formulate the points where these features are overlapping. This will allow us to use graphene to study the properties of superfluid 3He, to use superfluid 33 He to study the properties of graphene, and to use both of them in combination to study the physics of topological quantum vacuum. We suggest also some particular experiments with superfluid 3He using graphene as an atomically thin membrane impenetrable for He atoms but allowing for spin, momentum and energy transfer. © 2014 Springer Science+Business Media New York.