On Thermal Nieh-Yan Anomaly in Topological Weyl Materials

J. Nissinen*, G. E. Volovik

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

18 Citations (Scopus)


We discuss the possibility of gravitational Nieh-Yan anomaly of the type ∂μj~5μ=γT2Ta∧Ta in topological Weyl materials, where T is temperature and Ta is the effective or emergent torsion. As distinct from the non-universal parameter ⋀ in the conventional (zero temperature) Nieh-Yan anomaly — with canonical dimensions of momentum — the parameter γ is dimensionless. This suggests that the dimensionless parameter is fundamental, being determined by the geometry, topology and number of the number of chiral quantum fields without any explicit non-universal UV scales. This conforms with previous results in the literature, as well as spectral flow calculations using torsional magnetic field at finite temperature.

Original languageEnglish
Pages (from-to)789–792
Number of pages4
JournalJETP Letters
Issue number12
Early online date2019
Publication statusPublished - 27 Feb 2020
MoE publication typeA1 Journal article-refereed


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