Topological invariants, surface states, and interaction-driven phase transitions in correlated Kondo insulators with cubic symmetry

Abstract

We construct a lattice model for a cubic Kondo insulator consisting of one spin-degenerate $d$ and $f$ orbital at each lattice site. The odd-parity hybridization between the two orbitals permits us to obtain various trivial and topological insulating phases, which we classify in the presence of cubic symmetry. In particular, depending on the choice of our model parameters, we find a strong topological insulator phase with a band inversion at the $\mathrm{X}$ point, modeling the situation potentially realized in SmB${}_6$, and a topological crystalline insulator phase with trivial ${\mathbb{Z}}_2$ indices but nonvanishing mirror Chern numbers. Using the Kotliar-Ruckenstein slave-boson scheme, we further demonstrate how increasing interactions among $f$ electrons can lead to topological phase transitions. Remarkably, for fixed band parameters, the $f$-orbital occupation number at the topological transitions is essentially independent of the interaction strength, thus yielding a robust criterion to discriminate between different phases.

15 pages, 13 figures

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• Correlation between bulk thermodynamic measurements and the low temperature resistance plateau in SmB6
• Correlation Length, Universality Classes, and Scaling Laws Associated with Topological Phase Transitions
• Surface Theory of a Family of Topological Kondo Insulators
• Symmetry Conserving Maximally Projected Wannier Functions
• Coexistence of light and heavy surface states in a topological multi-band Kondo insulator
• Weyl-Kondo semimetals in nonsymmorphic systems
• Surface-state spin textures and mirror Chern numbers in topological Kondo insulators
• Distinct topological crystalline phases in models for the strongly correlated topological insulator SmB6
• Dynamically generated edge states in topological Kondo insulators
• In-gap collective mode spectrum of the Topological Kondo Insulator SmB6
• Two-dimensional heavy fermions on the strongly correlated boundaries of Kondo topological insulators
• Incomplete Protection of the Surface Weyl Cones of the Kondo Insulator SmB${}_6$: Spin Exciton Scattering
• Topological phase in $1D$ topological Kondo insulator: $Z_2$ topological insulator, Haldane-like phase and Kondo breakdown
• Model Hamiltonian for topological Kondo insulator SmB6
• A Strongly-Interacting Dirac Liquid on the Surface of a Topological Kondo Insulator
• Kondo holes in topological Kondo insulators: Spectral properties and surface quasiparticle interference
• 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
• Spin textures on general surfaces of the correlated topological insulator SmB6
• Multiple topological Dirac cones in a mixed-valent Kondo semimetal: g-SmS
• Ferromagnetism and glassiness on the surface of topological insulators
• 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
• Topology and Magnetism in the Kondo Insulator Phase Diagram
• Many-body breakdown of indirect gap in topological Kondo insulators
• Optical conductivity of topological Kondo insulating states
• Kramers' doublet ground state in topological Kondo 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
• Many-Body Effects in Topological Kondo Insulators
• Interacting topological phases in thin films of topological mirror Kondo insulators
• Topological properties of magnetically ordered heavy-fermion systems in the presence of mirror symmetry
• Surface reconstruction in a tight-binding model for the topological Kondo insulator SmB6
• Spontaneous symmetry breaking and quantum Hall valley ordering on the surface of topological hexaborides
• Cotunneling into a Kondo lattice with odd hybridization
• Magnetic and topological transitions in three-dimensional topological Kondo insulator
• Valence transition in topological Kondo insulator
• The role of the short range magnetic correlations on the gap opening of the topological Kondo insulators
• Reflection-Symmetry Protected Antiferromagnetic Topological Insulator in Three-Dimensional Heavy-Fermion Systems
• Spin-orbit coupled periodic Anderson model: Kondo-Dirac semimetal and orbital-selective antiferromagnetic semimetal