Weyl-Kondo semimetals in nonsymmorphic systems

Abstract

There is considerable current interest to explore electronic topology in strongly correlated metals, with heavy fermion systems providing a promising setting. Recently, a Weyl-Kondo semimetal phase has been concurrently discovered in theoretical and experimental studies. The theoretical work was carried out in a Kondo lattice model that is time-reversal invariant but inversion-symmetry breaking. In this paper, we show in some detail how nonsymmorphic space-group symmetry and strong correlations cooperate to form Weyl nodal excitations with highly reduced velocity and pin the resulting Weyl nodes to the Fermi energy. A tilted variation of the Weyl-Kondo solution is further analyzed here, following the recent consideration of such effect in the context of understanding a large spontaneous Hall effect in Ce${}_3$Bi${}_4$Pd${}_3$ (Dzsaber et al., arXiv:1811.02819). We discuss the implications of our results for the enrichment of the global phase diagram of heavy fermion metals, and for the space-group symmetry enforcement of topological semimetals in other strongly correlated settings.

arXiv comment13 pages, 7 figures; replaced with the published version

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• Topological Semimetal driven by Strong Correlations and Crystalline Symmetry
• Breakdown of the scaling relation of anomalous Hall effect in Kondo lattice ferromagnet USbTe
• Tuning the nontrivial topological properties of the Weyl semimetal CeAlSi
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• Dirac Kondo effect under magnetic catalysis
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