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

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2D Dirac fermions: graphene
Under basis of pz orbitals
effective Hamiltonians around K and K'=-K are
This is determined by the crystal & time-reversal symmetries
The Dirac mass is due to spin-orbit coupling and is tiny.
Breaking A/B sublatt. symmetry can induce mass term
Many phenomena related to Dirac fermions
have been predicted/observed in graphene.
e.g.: Klein “paradox”: perfect transmission
for normal incidence on a potential barrier
2015/12/[email protected]