Download Dirac and Weyl fermions in condensed matter systems: an introduction

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2D Dirac fermions: graphene
Ref.: Geim et al. RevModPhys'09.
2D honeycomb lattice of carbon atoms
States close to Fermi level are pz orbitals
Y.Yao et al Phys.Rev.B'07
Brillouin zone
Two spin-degenerate bands (4 bands) at BZ corners (K&K')
touch at Fermi level and disperse linearly