Abstract

In this work we introduce a thermal magnetotorsional effect (TME) as a novel topological response in magnetic Weyl semimetals. We predict that magnetization gradients perpendicular to the Weyl node separation give rise to temperature gradients depending only on the local positions of the Weyl nodes. The TME is a consequence of magnetization-induced effective torsional spacetime geometry and the finite temperature Nieh-Yan anomaly. Similarly to anomalous Hall effect and chiral anomaly, the TME has a universal material-independent form. We predict that the TME can be observed in magnetic Weyl semimetal EuCd$_2$As$_2$.

Highlights

  • The cross-fruition between condensed matter and high-energy physics has become a central theme in contemporary research

  • In the present Rapid Communication, we report the discovery of an addition to the previously known topological responses in Weyl semimetals

  • We developed an effective theory for magnetic Weyl semimetals where inhomogeneous magnetizations are mapped to spacetime torsion as well as axial gauge fields

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Summary

Topological magnetotorsional effect in Weyl semimetals

Long Liang 1,2 and Teemu Ojanen 2,3 1Department of Applied Physics, Aalto University School of Science, FI-00076 Aalto, Finland 2Computational Physics Laboratory, Physics Unit, Faculty of Engineering and Natural Sciences, Tampere University, P.O. Box 692, FI-33014 Tampere, Finland 3Helsinki Institute of Physics, P.O. Box 64, FI-00014 Helsinki, Finland (Received 17 December 2019; accepted 30 March 2020; published 23 April 2020). Box 64, FI-00014 Helsinki, Finland (Received 17 December 2019; accepted 30 March 2020; published 23 April 2020) In this Rapid Communication we introduce a thermal magnetotorsional effect (TME) as a topological response in magnetic Weyl semimetals. The TME is a consequence of magnetization-induced effective torsional spacetime geometry and the finite-temperature NiehYan anomaly. We predict that the TME can be observed in the magnetic Weyl semimetal EuCd2As2

Introduction
LONG LIANG AND TEEMU OJANEN
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Conclusion and outlook
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