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

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Landau levels(LLs) from Dirac/Weyl fermions
For uniform mag. field B=Bz,
Weyl Hamiltonian becomes
Energy eigenvalues are
w/ eigenstate
In 2D (kz=0): unevenly spaced
Landau level energy
Single Weyl point produces a
chiral 0th Landau level.
for n>0,
STM observation of Landau levels in graphene,
Miller et al. Science'09
LLs from 3D Weyl points of
opposite chirality
2015/12/[email protected]