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  • Title: Mixed Axial-Torsional Anomaly in Weyl Semimetals.
    Author: Ferreiros Y, Kedem Y, Bergholtz EJ, Bardarson JH.
    Journal: Phys Rev Lett; 2019 Feb 08; 122(5):056601. PubMed ID: 30822001.
    Abstract:
    We show that Weyl semimetals exhibit a mixed axial-torsional anomaly in the presence of axial torsion, a concept exclusive of these materials with no known natural fundamental interpretation in terms of the geometry of spacetime. This anomaly implies a nonconservation of the axial current-the difference in the current of left- and right-handed chiral fermions-when the torsion of the spacetime in which the Weyl fermions move couples with opposite sign to different chiralities. The anomaly is activated by driving transverse sound waves through a Weyl semimetal with a spatially varying tilted dispersion, which can be engineered by applying strain. This leads to a sizable alternating current in the presence of a magnetic field that provides a clear-cut experimental signature of our predictions.
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