A phase diagram for a topological Kondo insulating system
arXiv:1109.5788 · doi:10.1103/PhysRevB.85.125128
Abstract
The discovery of topological insulators in non-interacting electron systems has motivated the community to search such topological states of matter in correlated electrons both theoretically and experimentally. In this paper we investigate a phase diagram for a topological Kondo insulating system, where an emergent "spin"-dependent Kondo effect gives rise to an inversion for heavy-fermion bands, responsible for a topological Kondo insulator. Resorting to the U(1) slave-boson mean-field analysis, we uncover an additional phase transition inside the Kondo insulating state in two dimensions, which results from the appearance of the topological Kondo insulator. On the other hand, we observe that the Kondo insulating state is distinguished into three insulating phases in three dimensions, identified with the weak topological Kondo insulator, the strong topological Kondo insulator, and the normal Kondo insulator, respectively, and classified by Z topological indices. We discuss the possibility of novel quantum criticality between the fractionalized Fermi liquid and the topological Kondo insulator, where the band inversion occurs with the formation of the heavy-fermion band at the same time.
References in corpus (29)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Topological Insulators with Inversion Symmetry
- Fermi-liquid instabilities at magnetic quantum phase transitions
- "Deconfined" quantum critical points
- Quantum Criticality in Heavy Fermion Metals
- High temperature fractional quantum Hall states
- Fractional quantum Hall states at zero magnetic field
- Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
- Nearly-flat bands with nontrivial topology
- Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
- Quantum spin-liquid emerging in two-dimensional correlated Dirac fermions
- Weak magnetism and non-Fermi liquids near heavy-fermion critical points
- Evidence for deconfined quantum criticality in a two-dimensional Heisenberg model with four-spin interactions
- Fractionalized Fermi liquids
- Scalar spin chirality and quantum Hall effect on a triangular lattice
- On the classification of Quantum Spin Hall Models
- A theory of Topological Kondo Insulators
- Fractional topological insulators in three dimensions
- Kondo Breakdown as a Selective Mott Transition in the Anderson Lattice
- Z2 topological term, the global anomaly, and the two-dimensional symplectic symmetry class of Anderson localization
- Frustration-induced insulating chiral spin state in itinerant triangular-lattice magnets
- Coulomb gas transitions in three-dimensional classical dimer models
- Noncoplanar magnetic ordering driven by itinerant electrons on the pyrochlore lattice
- Selective Mott transition and heavy fermions
- A Fractionalized Quantum Spin Hall Effect
- Correlated Fermions on a Checkerboard Lattice
- SU(2) gauge theory of the Hubbard model: Emergence of an anomalous metallic phase near the Mott critical point
- Nambu-Eliashberg theory for multi-scale quantum criticality : Application to ferromagnetic quantum criticality in the surface of three dimensional topological insulators
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- Coexistence of light and heavy surface states in a topological multi-band Kondo insulator
- Hysteretic Magnetotransport in SmB6 at Low Magnetic Fields
- Magnetotransport Measurements of the Surface States of Samarium Hexaboride using Corbino Structures
- Surface-state spin textures and mirror Chern numbers in topological Kondo insulators
- Dynamically generated edge states in topological Kondo insulators
- A new exotic state in an old material: A tale of Samarium Hexaboride
- 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
- Topological phase in a two-dimensional metallic heavy-fermion system
- Kondo screening by the surface modes of a strong topological insulator
- Impact of strong correlations on a band topological insulator on the Lieb lattice
- Topological Green function of interacting systems
- Fragility of the Kondo insulating gap against disorder: relevance to recent puzzles in topological Kondo insulators
- QCD Kondo excitons
- Symplectic large-N theory of topological heavy-fermion semiconductors
- Two relativistic Kondo effects: Classification with particle and antiparticle impurities
- Restoration of topological properties at finite temperatures in a heavy-fermion system
- Universal properties of the near-gap spectra of SmB6: dynamical mean-field calculations and photoemission experiments
- Impact of magnetic dopants on magnetic and topological phases in magnetic topological insulators
- Kramers' doublet ground state in topological Kondo insulators
- Many-body breakdown of indirect gap in topological Kondo insulators
- Pressure-Driven Topological Phase Transition in the Yb Chalcogenides YbO and YbS
- classification for a novel antiferromagnetic topological insulating phase in three-dimensional topological Kondo insulator
- Topological quantum phase transition in Kane-Mele-Kondo lattice model
- Tailoring Metal Insulator Transitions Band Topology via Off-resonant Periodic Drive in an Interacting Triangular Lattice
- Many-Body Effects in Topological Kondo Insulators
- Laser-induced phase transitions of topological Kondo insulators
- Topological properties of magnetically ordered heavy-fermion systems in the presence of mirror symmetry
- Valence transition in topological Kondo insulator
- The role of the short range magnetic correlations on the gap opening of the topological Kondo insulators
- Kondo spin liquid in Kondo necklace model: Classical disordered phase versus symmetry-protected topological state