Center for Correlated Electron Systems


The Chiral anomaly without Landau levels

May 8, 2019l Hit 386
Date : May 14, 2019 10:30 ~ 12:00
Speaker : Dr. Junhyun Lee(University of Maryland)
Location : Bldg. 19, Rm. 210

We study the chiral anomaly in disordered Weyl semimetals, where the broken translational symmetry prevents the direct application of Nielsen and Ninomiya s mechanism. In the weak disorder regime, there exists rare regions of the random potential where the disorder strength is locally strong, which gives rise to quasi-localized resonances and their effect on the chiral anomaly is unknown. We numerically show that these resonant states do not affect the chiral anomaly only in the case of a single Weyl node. At energies away from the Weyl point, or with strong disorder where one is deep in the diffusive regime, the chiral Landau level itself is not well defined and the semiclassical treatment is not justified. In this limit, we analytically use the supersymmetry method and find that the Chern-Simons term in the effective action which is not present in non-topological systems gives rise to a non-zero average level velocity which implies chiral charge pumping. We numerically establish that the non-zero average level velocity serves as an indicator of the chiral anomaly in the diffusive limit. 



Host: Prof. Bohm Jung Yang