Topological matter: graphene and superfluid 3He

Abstract

Physics of graphene and physics of 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 for study the properties of superfluid 3He, to use superfluid 3He for study the properties of graphene, and to use the 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.

12 pages, no figures, JOLT style, prepared for Proceedings of Microkelvin Workshop 2013, modified after referee reports

References in corpus (11)

• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Graphene: a perfect nanoballoon
• Limits on electron quality in suspended graphene due to flexural phonons
• Graphene-based topological insulator with an intrinsic bulk band gap above room temperature
• Generalized effective hamiltonian for graphene under non-uniform strain
• Temperature dependent resistivity in bilayer graphene due to flexural phonons
• Symmetry Protected Topological Order and Spin Susceptibility in Superfluid 3He-B
• Euler - Heisenberg effective action and magnetoelectric effect in multilayer graphene
• Relaxation of Bose-Einstein Condensates of Magnons in Magneto-Textural Traps in Superfluid ${}^3$He-B
• Emergent gravity in graphene
• Gravity waves on the surface of topological superfluid 3He-B

Cited by in corpus (5)

• Dirac points with giant spin-orbit splitting in the electronic structure of two-dimensional transition-metal carbides
• Mesoscopic Klein-Schwinger effect in graphene
• Phases of Attractive Fermi Gases in Synthetic Dimensions
• Magnon Bose-Einstein condensates: from time crystals and quantum chromodynamics to vortex sensing and cosmology
• Topology of the ${}^3$He-A film on corrugated graphene substrate