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

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Chiral anomaly in 3D Weyl semimetals
Chiral(Adler-Bell-Jackiw) anomaly: for simplest Weyl
the right/left-handed Weyl fermion number are not
conserved under EM field,
Semiclassical picture:
1D chiral anomaly on n=0 LL,
LL degeneracy
If there are back-scattering,
this will produce a steady current and lead to negative
[DTSon&Spivak, PhysRevB'13]
This effect also applies to gapless Dirac semimetal.