On the extension of Topological Quantum Chemistry to strongly correlated crystalline topological Kondo insulators

The recently introduced topological quantum chemistry (TQC) framework describes the topological properties of all band insulators in all space groups based on crystal symmetries and time reversal. Nevertheless, it remains unclear to which extent this formalism can be applied to the analysis of systems with interacting electrons. In this talk, we present the extension of TQC to strongly correlated Kondo systems, which consists on the development of the formalism to a particular type of interacting systems and sets up a powerful framework for the investigation of crystalline topological Kondo insulators. These materials can be seen as the symmetry enriched evolution of topological heavy fermion systems proposed during the past decade whose topological ground states were protected by time reversal [1]. We will also present the study of some representative material.

[1] Topological Kondo Insulators, M. Dzero, K. Sun, V. Galitski and P. Coleman, Phys. Rev. Lett. 104, 106408 (2010).