Artificial oxide heterostructures with non-trivial topology

Abstract

In the quest for topological insulators with large band gaps, heterostructures with Rashba spin-orbit interactions come into play. Transition metal oxides with heavy ions are especially interesting in this respect. We discuss the design principles for stacking oxide Rashba layers. Assuming a single layer with a two-dimensional electron gas (2DEG) on both interfaces as a building block, a two-dimensional topological insulating phase is present when negative coupling between the 2DEGs exists. When stacking multiple building blocks, a two-dimensional or three-dimensional topological insulator is artificially created, depending on the intra- and interlayer coupling strengths and the number of building blocks. We show that the three-dimensional topological insulator is protected by reflection symmetry, and can therefore be classified as a topological crystalline insulator. In order to isolate the topological states from bulk states, the intralayer coupling term needs to be quadratic in momentum. It is described how such a quadratic coupling could potentially be realized by taking buckling within the layers into account. The buckling, thereby, brings the idea of stacked Rashba system very close to the alternative approach of realizing the buckled honeycomb lattice in [111]-oriented perovskite oxides.

arXiv commentAccepted for publication in Journal of Physics: Condensed Matter

References in corpus (35)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Topological Insulators with Inversion Symmetry
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Classification of topological quantum matter with symmetries
• Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
• Topological Crystalline Insulators
• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• Topological Crystalline Insulators in the SnTe Material Class
• Tunable Rashba spin-orbit interaction at oxide interfaces
• Evidence for Helical Edge Modes in Inverted InAs/GaSb Quantum Wells
• Tunable Multifunctional Topological Insulators in Ternary Heusler Compounds
• The Quantum Spin Hall Effect: Theory and Experiment
• Topological Crystalline Insulators and Topological Superconductors: From Concepts to Materials
• Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
• Oscillatory crossover from two dimensional to three dimensional topological insulators
• Topology of crystalline insulators and superconductors
• Interface engineering of quantum Hall effects in digital transition metal oxide heterostructures
• Single valley Dirac fermions in zero-gap HgTe quantum wells
• Tailoring a two-dimensional electron gas at the LaAlO3/SrTiO3 (001) interface by epitaxial strain
• Quantum transport and two-parameter scaling at the surface of a weak topological insulator
• Planar Hall Effect and Anisotropic Magnetoresistance in a polar-polar interface of LaVO${}_3$-KTaO${}_3$ with strong spin-orbit coupling
• Electric Field Tuning of the Rashba Effect in the Polar Perovskite Structures
• Gate-tunable band structure of the LaAlO${}_3$-SrTiO${}_3$ interface
• Engineering three-dimensional topological insulators in Rashba-type spin-orbit coupled heterostructures
• Inversion-symmetry protected chiral hinge states in stacks of doped quantum Hall layers
• Coupled-layer description of topological crystalline insulators
• Topological magnetic phase in LaMnO${}_3$ (111) bilayer
• Design of Mott and topological phases on buckled 3d-oxide honeycomb lattices
• Realising Haldane's vision for a Chern insulator in buckled lattices
• Topological phases of topological insulator thin films
• Interface symmetry and spin control in topological insulator-semiconductor heterostructures
• From Coupled Rashba Electron and Hole Gas Layers to 3D Topological Insulators

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• Large nonlinear Hall effect and Berry curvature in KTaO3 based two-dimensional electron gas
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