Surface Theory of a Family of Topological Kondo Insulators

Abstract

A low-energy theory for the helical metallic states, residing on the surface of cubic topological Kondo insulators, is derived. Despite our analysis being primarily focused on a prototype topological Kondo insulator, Samarium hexaboride (SmB${}_6$), the surface theory derived here can also capture key properties of other heavy fermion topological compounds with a similar underlying crystal structure. Starting from an effective mean-field eight-band model in the bulk, we arrive at a low-energy description of the surface states, pursuing both analytical and numerical approaches. In particular, we show that helical Dirac excitations occur near the $\bar{\Gamma }$ point and the two $\bar{X}$-points of the surface Brillouin zone and generally the energies of the Dirac points display {\it offset} relative to each other. We calculate the dependence of several observables (such as bulk insulating gap, energies of the surface Dirac fermions, their relative position to the bulk gap, etc.) on various parameters in the theory. We also investigate the effect of a spatial modulation of the chemical potential on the surface spectrum and show that this band bending generally results in "dragging down" of the Dirac points deep into the valence band and strong enhancement of Fermi velocity of surface electrons. Comparisons with recent ARPES and quantum oscillation experiments are drawn.

arXiv comment14 Pages, 8 Figures: Published version with slightly revised discussion, typos corrected

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Cited by in corpus (37)

• Topological Kondo Insulators
• Interaction Driven Subgap Spin Exciton in the Kondo Insulator SmB6
• Samarium hexaboride: A trivial surface conductor
• Magnetic catalysis and axionic charge-density-wave in Weyl semimetals
• Quantum phases of interacting electrons in three-dimensional dirty Dirac semimetals
• Continuous and discontinuous topological quantum phase transitions
• Coexistence of light and heavy surface states in a topological multi-band Kondo insulator
• Surface state reconstruction in ion-damaged SmB_6
• Distinct topological crystalline phases in models for the strongly correlated topological insulator SmB6
• Consistency between ARPES and STM measurements on SmB${}_6$
• In-gap collective mode spectrum of the Topological Kondo Insulator SmB6
• Two-dimensional heavy fermions on the strongly correlated boundaries of Kondo topological insulators
• Observation of the superconducting proximity effect in the surface state of SmB6 thin films
• Excitonic and Nematic Instabilities on the Surface of Topological Kondo Insulators
• Model Hamiltonian for topological Kondo insulator SmB6
• Fractionalized Fermi liquid on the surface of a topological Kondo insulator
• Optical conductivity of an interacting Weyl liquid in the collisionless regime
• Spin textures on general surfaces of the correlated topological insulator SmB6
• Magnetic impurities in Kondo insulators: An application to samarium hexaboride
• Anomalous Hall Effect on the surface of topological Kondo insulators
• Particle-Hole Asymmetry in Gapped Topological Insulator Surface States
• Characterization of a correlated topological Kondo insulator in one dimension
• Ferromagnetism and glassiness on the surface of topological insulators
• Many-body instabilities and mass generation in slow Dirac materials
• Two relativistic Kondo effects: Classification with particle and antiparticle impurities
• Magnetization of the Metallic Surface States in Topological Insulators
• Shadow surface states in topological Kondo insulators
• Universal properties of the near-gap spectra of SmB6: dynamical mean-field calculations and photoemission experiments
• Non-universal weak antilocalization effect in cubic topological Kondo insulators
• Pseudo-Spin, Real-Spin and Spin Polarization of Photo-emitted Electrons
• ${\mathcal{Z}}_2$ classification for a novel antiferromagnetic topological insulating phase in three-dimensional topological Kondo insulator
• Surface reconstruction in a tight-binding model for the topological Kondo insulator SmB6
• Microwave Meissner Screening of Proximity coupled Topological Insulator / Superconductor Bilayers
• Quantized thermal and spin transports of dirty planar topological superconductors
• Spontaneous symmetry breaking and quantum Hall valley ordering on the surface of topological hexaborides
• Anomalous Behaviour in the Magneto-Optics of a Gapped Topological Insulator
• Valence transition in topological Kondo insulator