Möbius Kondo Insulators

Abstract

Heavy fermion materials have recently attracted attention for their potential to combine topological protection with strongly correlated electron physics. To date, the ideas of topological protection have been restricted to the heavy fermion or "Kondo" insulators with the simplest point-group symmetries. Here we argue that the presence of nonsymmorphic crystal symmetries in many heavy fermion materials opens up a new family of topologically protected heavy electron systems. Re-examination of archival resistivity measurements in nonsymmorphic heavy fermion insulators Ce${}_3$Bi${}_4$Pt${}_3$ and CeNiSn reveals the presence of low temperature conductivity plateau, making them candidate members of the new class of material. We illustrate our ideas with a specific model for CeNiSn, showing how glide symmetries generate surface states with a novel Mobius braiding that can be detected by ARPES or non-local conductivity measurements. One of the interesting effects of strong correlation, is the development of partially localization or "Kondo breakdown" on the surfaces, which transforms Mobius surface states into quasi-one dimensional conductors, with the potential for novel electronic phase transitions.

Revised version. 24 pages, 9 figures, accepted by Nature Physics

References in corpus (7)

• Superconductivity on the border of weak itinerant ferromagnetism in UCoGe
• Hourglass Fermions
• New classes of topological crystalline insulators with unpinned surface Dirac cones
• Z2-topology in nonsymmorphic crystalline insulators: Mobius twist in surface states
• Tuning bulk and surface conduction in topological Kondo insulator SmB6
• Kondo Breakdown in Topological Kondo Insulators
• Giant isotropic Nernst effect in an anisotropic Kondo semimetal

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• From Trivial Kondo Insulator Ce${}_3$Pt${}_3$Bi${}_4$ to Topological Nodal-line Semimetal Ce${}_3$Pd${}_3$Bi${}_4$
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• How to obtain a cosmological constant from small exotic R^4
• Magnetic states in a three-dimensional topological Kondo insulator
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