The Adler-Bell-Jackiw anomaly and Weyl fermions in a crystal
作者： H.B. Nielsen , Masao Ninomiya
DOI: 10.1016/0370-2693(83)91529-0
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摘要: The Adler-Bell-Jackiw (ABJ) axial anomaly is derived from the physical point of view as the production of Weyl particles and it is used to show the absence of the net production of particles for lattice regularized chirally invariant theories with locality. An analogy or a simulation is pointed out between the Weyl fermion theory and gapless semiconductors where two energy bands have pointlike degeneracies. For such materials, in the presence of parallel electric and strong magnetic fields, there exists an effect similar to the ABJ anomaly …
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