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Unconventional mass enhancement around the Dirac nodal loop in ZrSiS


The topological properties of fermions arise from their low-energy Dirac-like band dispersion and associated chirality. Initially confined to points, extensions of the Dirac dispersion to lines, and even loops, have now been uncovered, and semimetals hosting such features have been identified. However, experimental evidence for the enhanced correlation effects predicted to occur in these topological semimetals has been lacking. Here, we report a quantum oscillation study of the nodal-loop semimetal ZrSiS in high magnetic fields that reveals significant enhancement in the effective mass of the quasiparticles residing near the nodal loop. Above a threshold field, magnetic breakdown occurs across gaps in the loop structure with orbits that enclose different windings around its vertices, each winding accompanied by an additional π Berry phase. The amplitudes of these breakdown orbits exhibit an anomalous temperature dependence. These findings demonstrate the emergence of novel, correlation-driven physics in ZrSiS associated with the Dirac-like quasiparticles.

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Figure 1: Crystallographic and electronic structure of ZrSiS.
Figure 2: Shubnikov–de Haas oscillations and breakdown orbits in ZrSiS in a perpendicular magnetic field.
Figure 3: Geometrical (Berry) phase around a Dirac cone.
Figure 4: Effective mass and anomalous thermal damping of the oscillation amplitude.


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We acknowledge enlightening discussions with Y.-B. Kim and A. McCollam. We also acknowledge the support of the HFML-RU/FOM, member of the European Magnetic Field Laboratory (EMFL). A portion of this work was supported by the Engineering and Physical Sciences Research Council (grant no. EP/K016709/1).

Author information




S.W. initiated the project in collaboration with L.M.S. S.P., M.R.v.D. and S.W. performed the magnetotransport measurements. L.M.S. and B.V.L. synthesized the ZrSiS single crystals. A.C. performed the electronic band-structure calculations. S.P., M.R.v.D., S.W., A.C., M.I.K. and N.E.H. analysed the data. N.E.H. wrote the manuscript with input from all the co-authors.

Corresponding authors

Correspondence to N. E. Hussey or S. Wiedmann.

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The authors declare no competing financial interests.

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Pezzini, S., van Delft, M., Schoop, L. et al. Unconventional mass enhancement around the Dirac nodal loop in ZrSiS. Nat. Phys. 14, 178–183 (2018).

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