Three-dimensional Topological Insulators on the Pyrochlore Lattice

Abstract

Electrons hopping on the sites of a three-dimensional pyrochlore lattice are shown to form topologically non-trivial insulating phases when the spin-orbit (SO) coupling and lattice distortions are present. Of 16 possible topological classes 9 are realized for various parameters in this model. Specifically, at half-filling undistorted pyrochlore lattice with SO term yields a 'pristine' strong topological insulator with Z2 index (1;000). At quarter filling various strong and weak topological phases are obtained provided that both SO coupling and uniaxial lattice distortion are present. Our analysis suggests that many of the non-magnetic insulating pyrochlores should be topological insulators.

4 pages, 2 figures, 1 table. Version to appear in PRL; minor stylistic changes, typos corrected, references added

References in corpus (14)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Topological Insulators with Inversion Symmetry
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• Topological insulator on the kagome lattice
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Helical Metal Inside a Topological Band Insulator
• Exciton condensation and charge fractionalization in a topological insulator film
• Spin-orbit effects in Na${}_4$Ir${}_3$O${}_8$, a hyper-kagomé lattice antiferromagnet
• Spin-charge Separated Solitons in a Topological Band Insulator
• Spin Charge Separation in the Quantum Spin Hall State

Cited by in corpus (86)

• Topological Insulators
• Topological insulators and superconductors
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• High temperature fractional quantum Hall states
• Three-Dimensional Topological Insulators
• Dynamical Axion Field in Topological Magnetic Insulators
• Experimental realization and characterization of an electronic Lieb lattice
• Topological Insulators on the Lieb and Perovskite Lattices
• Semimetal and Topological Insulator in Perovskite Iridates
• Topological insulators and metal-insulator transition in the pyrochlore iridates
• Kagome superconductors AV${}_3$Sb${}_5$ (A=K, Rb, Cs)
• A theory of Topological Kondo Insulators
• Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
• Possible proximity of the Mott insulating Iridate Na2IrO3 to a topological phase: Phase diagram of the Heisenberg-Kitaev model in a magnetic field
• Orbital magnetoelectric coupling in band insulators
• Quadratic Fermi Node in a 3D Strongly Correlated Semimetal
• Surfaces of Axion Insulators
• Spin-orbit-entangled electronic phases in 4$d$ and 5$d$ transition-metal compounds
• Flat bands, strange metals, and the Kondo effect
• Witten effect in a crystalline topological insulator
• Computational Design of Axion Insulators Based on 5d Spinels Compounds
• Competing Exotic Topological Insulator Phases in Transition Metal Oxides on the Pyrochlore Lattice with Distortion
• Magnonic Weyl semimetal in pyrochlore ferromagnets
• Topological phases and phase transitions on the square-octagon lattice
• Odd-parity magnetoresistance in pyrochlore iridate thin films with broken time-reversal symmetry
• Pyrochlore electrons under pressure, heat and field: shedding light on the iridates
• Quasi PT-symmetry in passive photonic lattices
• Direct observation of the Dirac nodes lifting in semimetallic perovskite SrIrO3 thin films
• Topological Insulators from Spontaneous Symmetry Breaking Induced by Electron Correlation on Pyrochlore Lattices
• Topological Insulators on the Decorated Honeycomb Lattice
• Topological states in pyrochlore iridates: long-range anisotropy strongly competing with spin-orbit interaction
• Topological carbon materials: a new perspective
• Noncollinear magnetism and spin-orbit coupling in 5d pyrochlore oxide Cd2Os2O7
• Exchange-biased topological transverse thermoelectric effects in a Kagome ferrimagnet
• Theory of a quantum critical phenomenon in a topological insulator: (3+1)-dimensional quantum electrodynamics in solids
• Topological phase in one-dimensional interacting fermion system
• Spin-orbital Entangled Molecular $j_{\mathrm{eff}}$ States in Lacunar Spinel Compounds
• A new class of bilayer kagome lattice compounds with Dirac nodal lines and pressure-induced superconductivity
• Magnon nodal-line semimetals and drumhead surface states in anisotropic pyrochlore ferromagnets
• Flat bands with non-trivial topology in three dimensions
• Non-Hermiticity and topological invariants of magnon Bogoliubov-de Gennes systems
• Metallic Interface Emerging at Magnetic Domain Wall of Antiferromagnetic Insulator---Fate of Extinct Weyl Electrons
• Mott Electrons in an Artificial Graphenelike Crystal of Rare-Earth Nickelate
• Non-Fermi liquid behavior in a correlated flatband pyrochlore lattice
• Topological order in a correlated three-dimensional topological insulator
• Comparative studies of low temperature X-ray diffraction experiments on R2Ir2O7 (R = Nd, Eu, and Pr)
• Electronic structure and magnetic properties of NaOsO${}_3$
• Topological Magnetic Insulators with Corundum Structure
• Weyl points created by a three-dimensional flat band
• Three-dimensional topological magnon systems
• Perspective: Strongly correlated and topological states in [111] grown transition metal oxide thin films and heterostructures
• NaSrMn2F7, NaCaFe2F7, and NaSrFe2F7: novel single crystal pyrochlore antiferromagnets
• Interaction effect in two-dimensional Dirac fermions
• Giant Anomalous Hall Effect due to Double-Degenerate Quasi Flat Bands
• Topological invariant in three-dimensional band insulators with disorder
• Epitaxially stabilized iridium spinel oxide without cations in the tetrahedral site
• Inducing topological order in a honeycomb lattice
• Non-collinear magnetic structure and multipolar order in Eu${}_2$Ir${}_2$O${}_7$
• A new exotic state in an old material: A tale of Samarium Hexaboride
• Discovery and construction of surface kagome electronic states induced by p-d electronic hybridization
• Weak magnetic transitions in pyrochlore Bi2Ir2O7
• Geometrical lattice engineering of complex oxide heterostructures: a designer approach to emergent quantum states
• Observation of Flat Bands and Dirac Cones in a Pyrochlore Lattice Superconductor
• Symmetric $\mathrm{U}(1)$ and ${\mathbb{Z}}_2$ spin liquids on the pyrochlore lattice
• Nonlinear Magnetoelectric Effect under Magnetic Octupole Order: Its Application to a $d$-Wave Altermagnet and a Pyrochlore Lattice with All-In/All-Out Magnetic Order
• Quantum spin Hall effect in rutile-based oxide multilayers
• Cooper pairing, flat-band superconductivity and quantum geometry in the pyrochlore-Hubbard model
• Fractionalized topological insulators from frustrated spin models in three dimensions
• Spin Texture and Mirror Chern number in Hg-Based Chalcogenides
• Interaction effects on almost flat surface bands in topological insulators
• Stacking-dependent energetics and electronic structure of ultrathin polymorphic V${}_2$VI${}_3$ topological insulator nanofilms
• Orbital-selective effect of spin reorientation on the Dirac fermions in a non-charge-ordered kagome ferromagnet Fe${}_3$Ge
• Ab initio study of nontrivial topological phases in corundum structured $($M${}_2$O${}_3)/($Al${}_2$O${}_3{)}_5$ multilayers
• Electron Correlation Effects on Topological Phases
• Possible origin of the absence of magnetic order in LiOsO${}_3$: Spin-orbit coupling controlled ground state
• Phase Diagram Structure of Topological Mott Transition for Zero-gap Semiconductors beyond Conventional Landau-Ginzburg-Wilson Scenario
• Three-dimensional topological insulators in the octahedron-decorated cubic lattice
• Spontaneous Formation of Exceptional Points at the Onset of Magnetism
• Chemical enhancement of superconductivity in LaRu3Si2 with mode-selective coupling between kagome phonons and flat bands
• Traversing the pyrochlore stability diagram; microwave-assisted synthesis and discovery of mixed B-site Ln${}_2$InSbO${}_7$ family
• Spin Weyl Topological Insulators
• Many-body electronic structure in pyrochlore superconductor CsBi2 and spin liquid Pr2Ir2O7
• Frustration-free free fermions
• Magnetic ordering in the $J_{\mathrm{eff}}$ = 0 Nickelate NiRh${}_2$O${}_4$ prepared via a solid-state metathesis
• Non-Abelian line graph: A generalized approach to flat bands
• Singular flat bands in three dimensions: Landau level spreading, quantum geometry, and Weyl reconstruction