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Triangle anomaly in Weyl semi-metals

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arxiv 1305.6338 v3 pith:6TJ6NEJL submitted 2013-05-27 hep-th cond-mat.mes-hallhep-phnucl-th

Triangle anomaly in Weyl semi-metals

classification hep-th cond-mat.mes-hallhep-phnucl-th
keywords chiralweyltriangleanomaliesanomalymagneticsemimetalsaddition
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Weyl semimetals possess massless chiral quasi-particles, and are thus affected by the triangle anomalies. We discuss the features of the chiral magnetic and chiral vortical effects specific to Weyl semimetals, and then propose three novel phenomena caused by the triangle anomalies in this material: 1) anomaly cooling; 2) charge transport by soliton waves as described by the Burgers' equation, and 3) the shift of the BKT phase transition of superfluid vortices coupled to Weyl fermions. In addition, we establish the conditions under which the chiral magnetic current exists in real materials.

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  1. Revisiting the Axial Anomaly and Chiral Magnetic Effect in Dense Matter, with Applications to Axion Dark Matter

    hep-ph 2026-06 unverdicted novelty 4.0

    Axial anomaly form is unchanged in dense matter via Ward identity cancellation, yielding a Fermi-velocity-suppressed persistent chiral magnetic current set by axial chemical potential.