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We discuss the possibility of a gravitional Nieh-Yan anomaly of the type $\partial_\mu j^\mu_5 =\gamma T^2{\cal T}^a\wedge {\cal T}_a$ in topological Weyl materials, where $T$ is temperature and ${\cal T}^a$ is the effective or emergent torsion.
J. Nissinen and G.E. Volovik, On thermal Nieh-Yan anomaly in Weyl superfluids, arXiv:1908.01645
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