Relativistic Fermions in Flatland: theory and application

05 July 2021 — 09 July 2021

Planar fermions occur frequently in layered systems and are extensively studied in condensed matter physics; for instance, electronic properties of graphene have long been understood in terms of relativistic fermions centered on Dirac points in momentum space, but the influence of interactions between charge-carrying degrees of freedom is less well understood and remains an active field of study. Other examples are furnished by cuprate superconductors and materials with symmetry-protected topological phases. Quantum fermions in 2+1d also present many theoretical challenges, and there is a parallel renaissance of interest involving among others workers in large loop-order perturbation theory, functional renormalisation group, conformal bootstrap, and lattice simulation, tools mainly developed for particle theory, for whose practitioners such systems encapsulate essential challenges for their respective agendas.



  • Simon Hands (Swansea University)
  • Holger Gies (Friedrich Schiller University Jena)
  • John Gracey (University of Liverpool)
  • Igor Herbut (Simon Fraser University)


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