Interaction-driven transition between topological states in a Kondo insulator

Abstract

Heavy fermion materials naturally combine strong spin-orbit interactions and electronic correlations. When there is precisely one conduction electron per impurity spin, the coherent heavy fermion state is insulating. This Kondo insulating state has recently been argued to belong to the class of quantum spin Hall states. Motivated by this conjecture and a very recent experimental realization of this state, we investigate a model for Kondo insulators with spin-orbit coupling. Using DMFT, we observe an interaction-driven transition between two distinct topological states, indicated by a closing of the bulk gap and a simultaneous change of the Z2 topological invariant. At large interaction strength we find a topological heavy fermion state, characterized by strongly renormalized heavy bulk bands, hosting a pair of zero-energy edge modes. The model allows a detailed understanding of the temperature dependence of the single particle spectral function and in particular the energy scales at which one observes the appearance of edge states within the bulk gap.

7 pages, 6 figures; the origin and properties of the two distinct topological phases are worked out properly, the naming of the phases is now consistent with prior work by other authors

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• Correlation effects in (111) bilayers of perovskite transition-metal oxides
• Topological invariants, surface states, and interaction-driven phase transitions in correlated Kondo insulators with cubic symmetry
• Surface Theory of a Family of Topological Kondo Insulators
• Coexistence of light and heavy surface states in a topological multi-band Kondo insulator
• Surface-state spin textures and mirror Chern numbers in topological Kondo insulators
• The characterization of topological properties in Quantum Monte Carlo simulations of the Kane-Mele-Hubbard model
• Interaction-Induced Topological and Magnetic Phases in the Hofstadter-Hubbard Model
• Quantum cluster approach to the spinful Haldane-Hubbard model
• Dynamically generated edge states in topological Kondo insulators
• In-gap collective mode spectrum of the Topological Kondo Insulator SmB6
• Two distinct topological phases in the mixed valence compound YbB6 and its differences from SmB6
• Two-dimensional heavy fermions on the strongly correlated boundaries of Kondo topological insulators
• Topological Invariants and Ground-State Wave Functions of Topological Insulators on a Torus
• Model Hamiltonian for topological Kondo insulator SmB6
• Kondo holes in topological Kondo insulators: Spectral properties and surface quasiparticle interference
• Topological invariants in interacting Quantum Spin Hall: a Cluster Perturbation Theory approach
• Valence Characterization of Surface and Subsurface Region in SmB6
• Topological Kondo insulators in one dimension: Continuous Haldane-type ground-state evolution from the strongly-interacting to the non-interacting limit
• Topological properties of the bond-modulated honeycomb lattice
• Topological Mott insulator in the odd-integer filled Anderson lattice model with Hatsugai-Kohmoto interactions
• QCD Kondo excitons
• Two relativistic Kondo effects: Classification with particle and antiparticle impurities
• Universal properties of the near-gap spectra of SmB6: dynamical mean-field calculations and photoemission experiments
• Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling
• Restoration of topological properties at finite temperatures in a heavy-fermion system
• Kramers' doublet ground state in topological Kondo insulators
• Many-body breakdown of indirect gap in topological Kondo insulators
• Optical conductivity of topological Kondo insulating states
• Quantum cluster approach to the topological invariants in correlated Chern insulators
• Pressure-Driven Topological Phase Transition in the Yb Chalcogenides YbO and YbS
• ${\mathcal{Z}}_2$ classification for a novel antiferromagnetic topological insulating phase in three-dimensional topological Kondo insulator
• Topological quantum phase transition in Kane-Mele-Kondo lattice model
• Impact of correlations on topology in Kane-Mele model decorated with impurities
• Correlated electrons in a Crystalline Topological insulator
• The role of the short range magnetic correlations on the gap opening of the topological Kondo insulators
• 3D Topological Kondo Insulators
• Spectral properties of strongly correlated multi impurity models in the Kondo insulator regime: Emergent coherence, metallic surface states and quantum phase transitions
• Phases and phase transitions of an $S=3/2$ chain on metallic and semi-metallic surfaces