- Open Access
Probing the symmetries of nodal-line semimetal
Phys. Rev. Research 8, 043006 – Published 5 October, 2026
DOI: https://doi.org/10.1103/78p9-rjxz
Abstract
Symmetry plays a central role in determining the electronic structure and topology of nodal-line semimetals. is a nodal-line semimetal with tetragonal symmetry at room temperature, an incommensurate charge-density-wave transition at accompanied by symmetry breaking, and a low-temperature monoclinic transition near . Here, we use nonlinear optical second- and third-harmonic generation to track the evolution of crystal symmetries in with temperature and disorder. Temperature-dependent second-harmonic generation uncovers strong coupling between the lattice and the charge-density-wave order and shows that disorder quenches the low-temperature monoclinic phase. Room-temperature third-harmonic generation reveals broken rotational symmetry in contrast to the reported tetragonal bulk structure, possibly due to a symmetry-lowered surface reconstruction. These results establish nonlinear harmonic generation as a sensitive probe of intertwined bulk and surface symmetry breaking in and as a complementary tool for refining symmetries where space group assignment through diffraction is ambiguous.
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References (31)
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