Topological phase in $1D$ topological Kondo insulator: $Z_2$ topological insulator, Haldane-like phase and Kondo breakdown

Abstract

We have simulated a half-filled $1D$ $p$-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 $Z_2$ 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 SmB${}_6$.

11 pages, 9 figures, accepted by EPJB

References in corpus (10)

• Topological Insulators with Inversion Symmetry
• Colloquium: Topological Band Theory
• Direct observation of the spin texture in strongly correlated SmB6 as evidence of the topological Kondo insulator
• Kondo Breakdown in Topological Kondo Insulators
• Interaction effects on 1D fermionic symmetry protected topological phases
• Detecting edge degeneracy in interacting topological insulators through entanglement entropy
• End states in a 1-D topological Kondo insulator
• Strange correlations in spin-1 Heisenberg antiferromagnets
• Haldane insulator protected by reflection symmetry in the doped Hubbard model on the three-legged ladder
• Simulating heavy fermion physics in optical lattice: Periodic Anderson model with harmonic trapping potential

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• Topological Kondo insulators in one dimension: Continuous Haldane-type ground-state evolution from the strongly-interacting to the non-interacting limit
• Detecting Subsystem Symmetry Protected Topological Order Through Strange Correlators
• Strange correlators for topological quantum systems from bulk-boundary correspondence
• Two relativistic Kondo effects: Classification with particle and antiparticle impurities
• Higher-Order Cellular Automata Generated Symmetry-Protected Topological Phases and Detection Through Multi-Point Strange Correlators
• Finite temperature physics of $1D$ topological Kondo insulator: Stable Haldane phase, Emergent energy scale and Beyond
• Matrix Product Study of Spin Fractionalization in the 1D Kondo Insulator
• Interaction quench and thermalization in a one-dimensional topological Kondo insulator
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• ${\mathcal{Z}}_2$ classification for a novel antiferromagnetic topological insulating phase in three-dimensional topological Kondo insulator
• Inexorable Edge Kondo Breakdown in Topological Kondo Insulators
• Spin fractionalization in a Kondo-lattice superconductor heterostructure
• Understanding one-dimensional topological Kondo insulator: Poor man's non-uniform antiferromagnetic mean-field theory versus quantum Monte Carlo simulation
• Spurious Strange Correlators in Symmetry-Protected Topological Phases