Topological Crystalline Kondo Insulator in Mixed Valence Ytterbium Borides

Abstract

The electronic structures of two mixed valence insulators YbB${}_6$ and YbB${}_{1}2$ are studied by using the local density approximation (LDA) supplemented with the Gutzwiller method and dynamic mean field theory (DMFT). YbB${}_6$ is found to be a moderately correlated Z${}_2$ topological insulator, similar to SmB${}_6$ but having much larger bulk band gap. Notably, YbB${}_{1}2$ is revealed to be in a new novel quantum state, strongly correlated topological crystalline Kondo insulator, which is characterized by its non-zero mirror Chern number. The surface calculations find odd (three) and even (four) number of Dirac cones for YbB${}_6$ and YbB${}_{1}2$, respectively.

5 pages, 4 figures and 1 table

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