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Multi-band touchings together with the emergence of fermions exhibitinglinear dispersions have recently been predicted and realized in variousmaterials. We first investigate the Adler-Bell-Jackiw chiral anomaly in thesemulti-band touching semimetals when they are described by the pseudospinoperator in high dimensional representation. By evaluating the Chern number, weshow that the anomalous Hall effect is enhanced depending on the magnitude ofthe pseudospin. It is also confirmed by the analysis of the Landau levels whenmagnetic field is applied. Namely, charge pumping occurs from one multi-bandtouching point to another through multi-channel Landau levels in the presenceof parallel electric and magnetic fields. We also show a pair annihilation oftwo multi-band touching points by photo-irradiation. Furthermore, we proposegeneralizations of Dirac semimetals, multiple-Weyl semimetals and loop-nodalsemimetals to those composed of fermions carrying pseudospins in highdimensional representation. Finally we investigate the 3-band touchingprotected by the $% C_{3}$ symmetry. We show that the 3-band touching point isbroken into two Weyl points by photo-irradiation.

Chiral anomaly enhancement and photo-irradiation effects in multi-band touching fermion systems