THE ADLER-BELL-JACKIW ANOMALY AND WEYL FERMIONS IN A CRYSTAL
THE ADLER-BELL-JACKIW ANOMALY AND WEYL FERMIONS IN A CRYSTAL
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DOI：
10.1016/0370-2693(83)91529-0
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发表时间：
1983-01-01
影响因子：
4.4
通讯作者：
NINOMIYA, M
中科院分区：
文献类型：
--
作者：
NIELSEN, HB;NINOMIYA, M
Adler-Bell-Jackiw（ABJ）轴异常从物理学的角度推导为Weyl粒子的产生，并用来说明具有定域性的晶格正则化手征不变理论中粒子净产生的缺失。本文指出外尔费米子理论与两个能带具有点状简并的无带隙半导体之间的类比或模拟。对于这样的材料，在平行电场和强磁场的存在下，存在类似于ABJ异常的效应，即电子在能量-动量空间中从一个简并点附近移动到另一个简并点。纵向磁传导变得非常强。
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 that is the movement of the electrons in the energy-momentum space from the neighborhood of one degeneracy point to another one. The longitudinal magneto-conduction becomes extremely strong.