Topological phases in layered pyrochlore oxide thin films along the [111] direction

Abstract

We theoretically study a multi-band Hubbard model of pyrochlore oxides of the form A${}_2$B${}_2$O${}_7$, where B is a heavy transition metal ion with strong spin-orbit coupling, in a thin film geometry orientated along the [111] direction. Along this direction, the pyrochlore lattice consists of alternating kagome and triangular lattice planes of B ions. We consider a single kagome layer, a bilayer, and the two different trilayers. As a function of the strength of the spin-orbit coupling, the direct and indirect $d$-orbital hopping, and the band filling, we identify a number of scenarios where a non-interacting time-reversal invariant Z${}_2$ topological phase is expected and we suggest some candidate materials. We study the interactions in the half-filled $d$-shell within Hatree-Fock theory and identify parameter regimes where a zero magnetic field Chern insulator with Chern number $\pm 1$ can be found. The most promising geometries for topological phases appear to be the bilayer which supports both a Z${}_2$ topological insulator and a Chern insulator, and the triangular-kagome-triangular trilayer which supports a relatively robust Chern insulator phase.

12 pages, 14 figures, with one figure added and references updated

References in corpus (66)

• Topological Insulators
• Topological insulators and superconductors
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott 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
• Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances
• Magnetic Pyrochlore Oxides
• First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Mott physics and band topology in materials with strong spin-orbit interaction
• Nearly-flat bands with nontrivial topology
• Tunable Multifunctional Topological Insulators in Ternary Heusler Compounds
• Nonlocal edge state transport in the quantum spin Hall state
• Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
• Topological Mott Insulators
• Spin Anisotropy and Quantum Hall Effect in the Kagome Lattice - Chiral Spin State based on a Ferromagnet-
• Fractional quantum Hall effect in the absence of Landau levels
• Dynamical Axion Field in Topological Magnetic Insulators
• Spontaneous Quantum Hall States in Chirally-stacked Few-Layer Graphene Systems
• Interface engineering of quantum Hall effects in digital transition metal oxide heterostructures
• Quantum spin Hall effect in a transition metal oxide Na2IrO3
• Topological Insulators and Nematic Phases from Spontaneous Symmetry Breaking in 2D Fermi Systems with a Quadratic Band Crossing
• Topological and magnetic phases of interacting electrons in the pyrochlore iridates
• Dimensionality Control of Electronic Phase Transitions in Nickel-Oxide Superlattices
• Half-Heusler Compounds as a New Class of Three-Dimensional Topological Insulators
• Fractional topological insulators
• Nearly flat band with Chern number C=2 on the dice lattice
• Topological insulators and metal-insulator transition in the pyrochlore iridates
• Quantum spin Hall effect in three dimensional materials: Lattice computation of Z${}_2$ topological invariants and its application to Bi and Sb
• Orbital reflectometry
• Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
• Observation of Single Dirac Cone Topological Surface State in Compounds TlBiTe2 and TlBiSe2 from a New Topological Insulator Family
• Fractional Chern Insulators in Topological Flat bands with Higher Chern Number
• Single-Dirac-Cone topological surface states in TlBiSe2 class of Topological Insulators
• Topological surface states in three-dimensional magnetic insulators
• Classification and analysis of two dimensional abelian fractional topological insulators
• Fractional topological liquids with time-reversal symmetry and their lattice realization
• Fractional topological insulators in three dimensions
• Topological insulators from complex orbital order in transition-metal oxides heterostructures
• Asymmetric orbital-lattice interactions in ultra-thin correlated oxide films
• High mobility conduction at (110) and (111) LaAlO3/SrTiO3 interfaces
• First-principles study of structural, elastic, and bonding properties of pyrochlores
• Three-Dimensional Topological Insulators in I-III-VI${}_2$ and II-IV-V${}_2$ Chalcopyrite Semiconductors
• Quantum phase transitions in the Kane-Mele-Hubbard model
• Theoretical Prediction of Topological Insulators in Thallium-based III-V-VI${}_2$ Ternary Chalcogenides
• Topological insulators in three dimensions from spontaneous symmetry breaking
• Possible interaction driven topological phases in (111) bilayers of LaNiO3
• Correlated Topological Insulators and the Fractional Magnetoelectric Effect
• Correlation effects on 3D topological phases: from bulk to boundary
• Quantum confinement of Mott electrons in ultrathin LaNiO3/LaAlO3 superlattice
• Topological insulators and fractional quantum Hall effect on the ruby lattice
• Spin-charge Separated Solitons in a Topological Band Insulator
• Competing Exotic Topological Insulator Phases in Transition Metal Oxides on the Pyrochlore Lattice with Distortion
• Topological Insulators in Ternary Compounds with a Honeycomb Lattice
• Topological Order and Semions in a Strongly Correlated Quantum Spin Hall Insulator
• Correlation effects on a topological insulator at finite temperatures
• Electronic structure of (LaNiO${}_3$)${}_2$/(LaAlO${}_3$)${}_N$ heterostructures grown along [111]
• Theoretical prediction of topological insulator in ternary rare earth chalcogenides
• A Fractionalized Quantum Spin Hall Effect
• Spontaneous symmetry breakings in two-dimensional kagome lattice
• Topological Magnetic Insulators with Corundum Structure
• Gauge-field fluctuations in 3D topological Mott insulators
• Unusual magnetic phases in the strong interaction limit of two-dimensional topological band insulators in transition metal oxides

Cited by in corpus (45)

• Correlated quantum phenomena in the strong spin-orbit regime
• Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
• Topological Flat Band Models and Fractional Chern Insulators
• Quantum anomalous Hall effect and related topological electronic states
• Prediction of Near-Room-Temperature Quantum Anomalous Hall Effect on Honeycomb Materials
• Correlation effects in two-dimensional topological insulators
• Quantum Anomalous Hall Effect with Higher Plateaus
• Recent progress on correlated electron systems with strong spin-orbit coupling
• Emergent topological phenomena in thin films of pyrochlore iridates
• Metal-insulator transition and topological properties of pyrochlore iridates
• Massive symmetry breaking in LaAlO${}_3$/SrTiO${}_3$(111) quantum wells: a three-orbital, strongly correlated generalization of graphene
• Emerging chiral edge states from the confinement of a magnetic Weyl semimetal in Co${}_3$Sn${}_2$S${}_2$
• Topology and Interactions in a Frustrated Slab: Tuning from Weyl Semimetals to C > 1 Fractional Chern Insulators
• Topological Magnon Bands and Unconventional Superconductivity in Pyrochlore Iridate Thin Films
• Double perovskite heterostructures: Magnetism, Chern bands, and Chern insulators
• Competing orders and topology in the global phase diagram of pyrochlore iridates
• Mott Electrons in an Artificial Graphenelike Crystal of Rare-Earth Nickelate
• Complex magnetic order in nickelate slabs
• Lattice distortion effects on topological phases in (LaNiO${}_3$)${}_2$/(LaAlO${}_3$)${}_N$ heterostructures grown along the [111] direction
• Entanglement Entropy and Spectra of the One-dimensional Kugel-Khomskii Model
• Weyl semimetal from spontaneous inversion symmetry breaking in pyrochlore oxides
• Topological magnons with nodal-line and triple-point degeneracies: Implications for thermal Hall effect in pyrochlore iridates
• Perspective: Strongly correlated and topological states in [111] grown transition metal oxide thin films and heterostructures
• Ab initio study of $Z_2$ topological phases in perovskite (111) $({\text{SrTiO}}_3{)}_7/({\text{SrIrO}}_3{)}_2$ and $({\text{KTaO}}_3{)}_7/({\text{KPtO}}_3{)}_2$ multilayers
• Non-collinear magnetic structure and multipolar order in Eu${}_2$Ir${}_2$O${}_7$
• Quantum response theory for open systems and its application to Hall conductance
• Spin Ice Thin Film: Surface Ordering, Partial Magnetic Wetting and Emergent Square Ice
• First-principles study on cubic pyrochlore iridates Y2Ir2O7 and Pr2Ir2O7
• Correlation effects in pyrochlore iridate thin films grown along the $[111]$ direction
• Transition-Metal Oxide (111) bilayers
• Intrinsic large gap quantum anomalous Hall insulators in La$X$ ($X$=Br, Cl, I)
• Geometrical lattice engineering of complex oxide heterostructures: a designer approach to emergent quantum states
• High-temperature large-gap quantum anomalous Hall insulator in ultrathin double perovskite films
• Realization of Stable Ferromagnetic Order in Topological Insulator: Codoping Enhanced Magnetism in 4f Transition Metal Doped Bi2Se3
• Theory of Multifarious Quantum Phases and Large Anomalous Hall effect in Pyrochlore Iridate Thin Films
• Topological Phases in Oxide Heterostructures with Light and Heavy Transition Metal Ions
• Epitaxial Growth of (1 1 1)-Oriented Spinel CoCr${}_2$O${}_4$/Al${}_2$O${}_3$ Heterostructures
• Controlled confinement of half-metallic two-dimensional electron gas in BaTiO3/Ba2FeReO6/BaTiO3 heterostructures: A first-principles study
• Competing magnetic orders and multipolar Weyl fermions in 227 pyrochlore iridates
• Intrinsic Magnon Nernst Effects in Pyrochlore Iridate Thin Films
• A comparative DMFT study of the eg-orbital Hubbard model in thin films
• Upper branch thermal Hall effect in quantum paramagnets
• Flavor Nernst effects in quantum paramagnets
• First Principles Prediction of Topological Phases in Thin Films of Pyrochlore Iridates
• Electronic and magnetic properties of (1 1 1)-oriented CoCr2O4 epitaxial thin film