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arXiv · 2010.00599

Diabolical touching point in the magnetic energy levels of topological nodal-line metals

Chong Wang·Zhongyi Zhang·Chen Fang·A. Alexandradinata
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Abstract

For three-dimensional metals, Landau levels disperse as a function of the magnetic field and the momentum wavenumber parallel to the field. In this two-dimensional parameter space, it is shown that two conically-dispersing Landau levels can touch at a diabolical point -- a Landau-Dirac point. The conditions giving rise to Landau-Dirac points are shown to be magnetic breakdown (field-induced quantum tunneling) and certain crystallographic spacetime symmetry. Both conditions are realizable in topological nodal-line metals, as we exemplify with CaP$_3$. A Landau-Dirac point reveals itself in anomalous batman-like peaks in the magnetoresistance, as well as in the onset of optical absorption linearly evolving to zero frequency as a function of the field magnitude/orientation.

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Chong Wang, Zhongyi Zhang, Chen Fang, A. Alexandradinata. 2020-10-01. Diabolical touching point in the magnetic energy levels of topological nodal-line metals. https://arxiv.org/abs/2010.00599

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