Competing topological and Kondo insulator phases on a honeycomb lattice

Abstract

We investigate the competition between the spin-orbit interaction of itinerant electrons and their Kondo coupling with local moments densely distributed on the honeycomb lattice. We find that the model at half-filling displays a quantum phase transition between topological and Kondo insulators at a nonzero Kondo coupling. In the Kondo-screened case, tuning the electron concentration can lead to a new topological insulator phase. The results suggest that the heavy-fermion phase diagram contains a new regime with a competition among topological, Kondo-coherent and magnetic states, and that the regime may be especially relevant to Kondo lattice systems with $5d$-conduction electrons. Finally, we discuss the implications of our results in the context of the recent experiments on SmB${}_6$ implicating the surface states of a topological insulator, as well as the existing experiments on the phase transitions in SmB${}_6$ under pressure and in CeNiSn under chemical pressure.

(v3) Published version including the main text (5 pages + 4 figures) and a supplementary material discussing the effects of quantum fluctuations of the slave bosons and antiferromagnetic ordering of the local moments on the transitions among the Kondo, magnetic and topological states

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Cited by in corpus (26)

• Weyl-Kondo Semimetal in Heavy Fermion Systems
• Kondo Insulator to Semimetal Transformation Tuned by Spin-Orbit Coupling
• Quantum phase transitions in heavy fermion metals and Kondo insulators
• Kondo Destruction and Quantum Criticality in Kondo Lattice Systems
• Experimental realization of chiral Landau levels in two-dimensional Dirac cone systems with inhomogeneous effective mass
• Heavy surface state in a possible topological Kondo insulator: Magneto-thermoelectric transport on the (011)-plane of SmB${}_6$
• Weyl-Kondo semimetals in nonsymmorphic systems
• Band symmetries of mixed-valence topological insulator: SmB6
• Pressure-induced quantum phase transitions in topological insulator YbB6
• Crossover of Magnetoresistance from Fourfold to Twofold Symmetry in SmB6 Single Crystal, a topological Kondo insulator
• Magnetic and transport signatures of Rashba spin-orbit coupling on the ferromagnetic Kondo lattice model in two dimensions
• Topological defects of Néel order and Kondo singlet formation for Kondo-Heisenberg model on a honeycomb lattice
• Impact of magnetic dopants on magnetic and topological phases in magnetic topological insulators
• Restoration of topological properties at finite temperatures in a heavy-fermion system
• Synthetic topological Kondo insulator in a pumped optical cavity
• Bilayer Haldane model: From trivial band insulator to fractionalized quantum anomalous Hall insulator
• Topological quantum phase transition in Kane-Mele-Kondo lattice model
• Kondo temperature when the Fermi level is near a step in the conduction density of states
• Phase diagram of Kondo-Heisenberg model on honeycomb lattice with geometrical frustration
• Topological Kondo semimetals emulated in hetero-bilayer transition metal dichalcogenides
• Antiferromagnetic topological insulators in heavy-fermion systems
• Cyclotron Dynamics of a Kondo Singlet in a Spin-Orbit-Coupled Alkaline-Earth Atomic Gas
• Dynamic-RKKY induced time-reversal symmetry breaking and chiral spin liquids
• Impact of correlations on topology in Kane-Mele model decorated with impurities
• Evolution of topological end states in the one-dimensional Kondo-Heisenberg model with site modulation
• Selective Kondo screening and strange metallicity by sliding Dirac semimetals