Fractionalized Topological Insulators

Abstract

Topological insulators have emerged as a major topic of condensed matter physics research with several novel applications proposed. Although there are now a number of established experimental examples of materials in this class, all of them can be described by theories based on electronic band structure, which implies that they do not possess electronic correlations strong enough to fundamentally change this theoretical description. Here, we review recent theoretical progress in the description of a class of strongly correlated topological insulators - fractionalized topological insulators - where band theory fails dramatically due to the fractionalization of the electron into other degrees of freedom.

5 pages, 3 figures. Published version

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Cited by in corpus (85)

• Classification of topological quantum matter with symmetries
• Quantum Spin Liquids
• Topological Semimetals
• Topological Phases in Two-Dimensional Materials: A Brief Review
• Interacting topological insulators: a review
• Photoferroelectric oxides
• Recent progress on correlated electron systems with strong spin-orbit coupling
• Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
• Non-Hermitian topological Mott insulators in one-dimensional fermionic superlattices
• First-Principles Design of a Half-Filled Flat Band of the Kagome Lattice in Two-Dimensional Metal-Organic Frameworks
• Mixing of $t_{2g}$-$e_g$ orbitals in 4d and 5d transition metal oxides
• Non-Abelian chiral spin liquid in a quantum antiferromagnet revealed by an iPEPS study
• Topological Magnon Bands and Unconventional Superconductivity in Pyrochlore Iridate Thin Films
• Fractional Topological Insulators -- a Pedagogical Review
• Simple ${\mathbb{Z}}_2$ lattice gauge theories at finite fermion density
• Floquet band structure of a semi-Dirac system
• Bona fide interaction-driven topological phase transition in correlated SPT states
• Chiral Magnetic Effect and Anomalous Hall Effect in Antiferromagnetic Insulators with Spin-Orbit Coupling
• Topological Semimetal driven by Strong Correlations and Crystalline Symmetry
• Creating anomalous Floquet Chern insulators with magnetic quantum walks
• Investigation of the chiral antiferromagnetic Heisenberg model using PEPS
• Quadratic band touching points and flat bands in two-dimensional topological Floquet systems
• Chiral spin-orbital liquids with nodal lines
• Strong Correlation Effects on Topological Quantum Phase Transitions in Three Dimensions
• Helical Liquids in Semiconductors
• Diagnosis of interaction-driven topological phase via exact diagonalization
• Circuit Quantum Electrodynamics Simulator of Flat Band Physics in Lieb lattice
• Composite Particle Theory of Three-dimensional Gapped Fermionic Phases: Fractional Topological Insulators and Charge-Loop Excitation Symmetry
• Electronic structure of YbB${}_6$: Is it a Topological Insulator or not?
• Weakly Interacting Topological Insulators: Quantum Criticality and Renormalization Group Approach
• Perspective: Strongly correlated and topological states in [111] grown transition metal oxide thin films and heterostructures
• Topological magnon bound-states in periodically modulated Heisenberg XXZ chains
• Signatures of Weyl fermion annihilation in a correlated kagome magnet
• Quantum cluster approach to the spinful Haldane-Hubbard model
• Topological invariants for interacting topological insulators: II. Breakdown of the Green's function formalism
• Detecting Topological Phases of Microwave Photons in a Circuit Quantum Electrodynamics Lattice
• Flat Topological Bands and Eigenstate Criticality in a Quasiperiodic Insulator
• Fractional $S$-duality, Classification of Fractional Topological Insulators and Surface Topological Order
• Fractionalization and topology in amorphous electronic solids
• Topological and conventional phases of a three dimensional electron glass
• Correlation effects in pyrochlore iridate thin films grown along the $[111]$ direction
• Ground state stability, symmetry, and degeneracy in Mott insulators with long range interactions
• Self-Organised Fractional Quantisation in a Hole Quantum Wire
• Loop Models, Modular Invariance, and Three Dimensional Bosonization
• Disorder effects in correlated topological insulators
• Topological invariant and cotranslational symmetry in strongly interacting multi-magnon systems
• Dielectric and electronic properties of three-dimensional Luttinger semimetals with a quadratic band touching
• Topological $s$-wave superconductors driven by electron correlation
• Edge zeros and boundary spinons in topological Mott insulators
• Exotic Non-Abelian Topological Defects in Lattice Fractional Quantum Hall States
• Group theory study of the vibrational modes and magnetic order in the topological antiferromagnet MnBi${}_2$Te${}_4$
• Floquet topological transitions in extended Kane-Mele models with disorder
• Optical imprinting of superlattices in two-dimensional materials
• Landau theory of helical Fermi liquids
• Higher angular momentum band inversions in two dimensions
• Fractionalizing Global Symmetry on Looplike Topological Excitations
• Thermal conductivity of local moment models with strong spin-orbit coupling
• Longitudinal Spin Seebeck effect in Pyrochlore Iridates with Bulk and Interfacial Dzyaloshinskii-Moriya interaction
• Spin-polarized imaging of strongly interacting fermions in the ferrimagnetic state of Weyl candidate CeBi
• Paired parton quantum Hall states: a coupled wire construction
• Bilayer Haldane model: From trivial band insulator to fractionalized quantum anomalous Hall insulator
• Surfaces and Slabs of Fractional Topological Insulator Heterostructures
• Topological end states in a one-dimensional spatially modulated interaction spinless fermion model
• The Future of the Correlated Electron Problem
• Correlation and current anomalies in helical quantum dots
• BRST Symmetry: Boundary Conditions and Edge States in QED
• Factors affecting the topological Hall effect in strongly correlated layered magnets: spin of the magnetic atoms, polar and azimuthal angle subtended by the spin texture
• Floquet states in (LaNiO${}_3$)${}_2$/(LaAlO${}_3$)${}_N$ heterostructures grown along the (111) direction
• Programmable, Spontaneous Superlattice Memory in a Monolayer Topological Insulator
• Emergence of Spinon Fermi Arcs in the Weyl-Mott Metal-Insulator Transition
• Stability Frontiers and Mixed-dimensional physics in the Kagome Intermetallics Ln3ScBi5 (Ln = La-Nd, Sm)
• Phase transitions of the Kane-Mele-Hubbard model with a long-range hopping
• Candidate for a Fractional Topological Insulator in Twisted MoTe2
• Quantum-critical electrodynamics of Luttinger fermions
• Quantum critical points in tunneling junction of topological superconductor and topological insulator
• Mott transition and magnetism in a fragile topological insulator
• Multitude of phases in correlated lattice fermion systems with spin-dependent disorder
• Topological strongly correlated phases in orthorhombic diamond lattice compounds
• First Principles Prediction of Topological Phases in Thin Films of Pyrochlore Iridates
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Fermion Number 1/2 of Sphalerons and Spectral Mirror Symmetry
• Topological entanglement entropy of the BTZ black hole
• Symmetric localization of ${\nu }_{\text{tot}}=4/3$ fractional topological insulator edges
• Structural studies on $A_2$ReCl${}_6$ ($A$=K, Rb, Cs): absence of Jahn-Teller distortion
• Phase transitions of the dimerized Kane-Mele model with/without the strong interaction