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Chiral anomaly in Weyl semimetal
In the presence of electromagnetic fields $E$ and $B$, four current is not conserved in a Weyl semimetal i.e. $\partial_{\mu} j^{\mu}\propto E\cdot B \neq 0$. There are some proofs in the literature ...
6
votes
0
answers
875
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What is the reason for chiral anomalies in condensed matter systems?
If you consider a massless relativistic fermion theory and you perform a chiral transformation, then you realize that while the classical action remains invariant under this transformation the ...
2
votes
0
answers
89
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Chiral anomaly in Weyl semimental
In Weyl semimetal, there is an analog of ABJ anomaly, which is a $E \cdot B$ term. The ABJ anomaly can be viewed as winding number because of the homotopy group of sphere $\pi_3(S^3)= \mathbb{Z}$ for ...
2
votes
0
answers
160
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"Mixed anomaly" in Weyl semimetal and its cancellation
The introduction to the problem
Suppose the Weyl semimetal (read please briefly the definition before reading the question). Because of the effective nature of the chirality the parameters $b_{0}, \...