Kramers' doublet ground state in topological Kondo insulators

Abstract

We consider the simplest variant of a Kondo insulator where a doublet of localized $f$-electrons hybridizes with spin-degenerate conduction electrons. We analyse the symmetries of $f$-orbitals involved in the hybridization and point out that the effective four-band model of such systems is adiabatically connected with one that possesses chiral symmetry, which provides further descriptions of clean Kondo insulators. We obtain general conditions for the appearance of topological non-trivial states and discuss implications for rare-earth based compounds. As an example, we derive the full phase diagram of tetragonal Kondo insulators. We show that the chiral symmetry leads to a non-trivial topological phase when the band-width of conduction electrons sets the largest energy scale, and a new weak topological phase appears as function of the normalized distance between bands' centers.

arXiv comment8 pages, 2 figures

References in corpus (33)

• Topological Insulators with Inversion Symmetry
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological superconductors: a review
• Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
• Topological Kondo Insulators
• Topological surface state in the Kondo Insulator Samarium Hexaboride
• Quantum oscillations in Kondo Insulator SmB${}_6$
• Topological Kondo Insulators
• A theory of Topological Kondo Insulators
• Direct observation of the spin texture in strongly correlated SmB6 as evidence of the topological Kondo insulator
• Cubic Topological Kondo Insulators
• An Introduction to Topological Insulators
• Witten effect in a crystalline topological insulator
• Topological invariants, surface states, and interaction-driven phase transitions in correlated Kondo insulators with cubic symmetry
• Interaction-driven transition between topological states in a Kondo insulator
• CeRu${}_4$Sn${}_6$: a strongly correlated material with nontrivial topology
• Surface-state spin textures and mirror Chern numbers in topological Kondo insulators
• A phase diagram for a topological Kondo insulating system
• Formation of heavy quasiparticle state in two-band Hubbard model
• Majorana Fermi Sea in Insulating SmB6: A proposal and a Theory of Quantum Oscillations in Kondo Insulators
• Scanning tunneling spectroscopy and surface quasiparticle interference in models for the strongly correlated topological insulators SmB6 and PuB6
• Distinct topological crystalline phases in models for the strongly correlated topological insulator SmB6
• A new exotic state in an old material: A tale of Samarium Hexaboride
• Electromagnetic and thermal responses of Z topological insulators and superconductors in odd spatial dimensions
• Topological phase in $1D$ topological Kondo insulator: $Z_2$ topological insulator, Haldane-like phase and Kondo breakdown
• Fractionalized Fermi liquid on the surface of a topological Kondo insulator
• Electronic structure of CeRu4Sn6: a density functional plus dynamical mean field theory study
• Magnetic end-states in a strongly-interacting one-dimensional topological Kondo insulator
• Topological phase in a two-dimensional metallic heavy-fermion system
• Soft topological objects in topological media
• Dynamical mean-field theory for the anisotropic Kondo semiconductor: Temperature and magnetic field dependence
• Topological quantum phase transition in Kane-Mele-Kondo lattice model
• Ce 3$p$ hard x-ray photoelectron spectroscopy study of the topological Kondo insulator CeRu${}_4$Sn${}_6$

Cited by in corpus (4)

• Solvable Periodic Anderson Model with Infinite-Range Hatsugai-Kohmoto Interaction: Ground-states and beyond
• Fragility of the Kondo insulating gap against disorder: relevance to recent puzzles in topological Kondo insulators
• Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling
• Precursor to Quantum Criticality in Ce-Au-Al Quasicrystal Approximants