Eur. Phys. J. B (2017) 90: 147
https://doi.org/10.1140/epjb/e2017-80102-0

Regular Article

Topological phase in 1D topological Kondo insulator: Z₂ topological insulator, Haldane-like phase and Kondo breakdown

¹ Center for Interdisciplinary Studies & Key Laboratory for Magnetism and Magnetic Materials of the MoE, Lanzhou University, Lanzhou 730000, P.R. China
² LCP, Institute of Applied Physics and Computational Mathematics, Beijing 100088, P.R. China
³ Software Center for High Performance Numerical Simulation, China Academy of Engineering Physics, Beijing 100088, P.R. China
⁴ Beijing Computational Science Research Center, Beijing 100084, P.R. China

^a e-mail: zhongy05@hotmail.com

Received: 18 February 2017
Received in final form: 28 April 2017
Published online: 2 August 2017

Abstract

We have simulated a half-filled 1Dp-wave periodic Anderson model with numerically exact projector quantum Monte Carlo technique, and the system is indeed located in the Haldane-like state as detected in previous works on the p-wave Kondo lattice model, though the soluble non-interacting limit corresponds to the conventional Z₂ topological insulator. The site-resolved magnetization in an open boundary system and strange correlator for the periodic boundary have been used to identify the mentioned topological states. Interestingly, the edge magnetization in the Haldane-like state is not saturated to unit magnetic moment due to the intrinsic charge fluctuation in our periodic Anderson-like model, which is beyond the description of the Kondo lattice-like model in existing literature. The finding here underlies the correlation driven topological state in this prototypical interacting topological state of matter and naive use of non-interacting picture should be taken care. Moreover, no trace of the surface Kondo breakdown at zero temperature is observed and it is suspected that frustration-like interaction may be crucial in inducing such radical destruction of Kondo screening. The findings here may be relevant to our understanding of interacting topological materials like topological Kondo insulator candidate SmB₆.