Relativistic Fermions in Flatland: theory and application
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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