Abstract
Electronic transport in Weyl semimetals is quite extraordinary due to the topological property of the chiral anomaly generating the charge pumping between two distant Weyl nodes with opposite chiralities under parallel electric and magnetic fields. Here, we develop a full nonequilibrium quantum transport theory of the chiral anomaly, based on the fact that the chiral charge pumping is essentially nothing but the Bloch oscillation. Specifically, by using the Keldysh nonequilibrium Green function method, it is shown that there is a rich structure in the chiral anomaly transport, including the negative magnetoresistance, the non-Ohmic behavior, the Esaki-Tsu peak, and finally the resonant oscillation of the dc electric current as a function of electric field, called the electric quantum oscillation. We argue that, going beyond the usual behavior of linear response, the non-Ohmic behavior observed in BiSb alloys can be regarded as a precursor to the occurrence of electric quantum oscillation, which is both topologically and energetically protected in Weyl semimetals.
Highlights
Among the greatest mysteries in physics is the asymmetry between matter and antimatter in our known universe
The low-electric-field data at ωc = 0.8 and 1 reveals that, under strong magnetic fields, there is a new type of the electric quantum oscillation (EQO) with different periodicity, which is shown below to be induced by a form of the self-resonance entirely within the chiral LL, called the chiral resonance
Called the EQO, this resonant oscillation of the dc electric current can occur in Weyl semimetals via two different mechanisms
Summary
Among the greatest mysteries in physics is the asymmetry between matter and antimatter in our known universe. The chiral anomaly, known as the Adler-BellJackiw anomaly [1,2,3,4], is generally regarded as one of the most crucial elements in the mechanism of baryogenesis In this context, Weyl semimetals [5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21] have been recently attracting intense attention by providing a concrete realization of the chiral anomaly in condensed matter systems, whose parameters can be tuned in tabletop experiments. It is interesting to mention that strong-field phenomena have been investigated in combination with various many-body correlation effects such as Mott transition [27,33,34,35,36,37,38,39] and many-body localization [40,41]
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