Abstract

Quantum anomalous Hall insulators, which display robust boundary charge and spin currents categorized in terms of a bulk topological invariant known as the Chern number (Thouless et al Phys. Rev. Lett. 49, 405–408 (1982)), provide the quantum Hall anomalous effect without an applied magnetic field. Chern insulators are attracting interest both as a novel electronic phase and for their novel and potentially useful boundary charge and spin currents. Honeycomb lattice systems such as we discuss here, occupied by heavy transition-metal ions, have been proposed as Chern insulators, but finding a concrete example has been challenging due to an assortment of broken symmetry phases that thwart the topological character. Building on accumulated knowledge of the behavior of the 3d series, we tune spin-orbit and interaction strength together with strain to design two Chern insulator systems with bandgaps up to 130 meV and Chern numbers C = −1 and C = 2. We find, in this class, that a trade-off between larger spin-orbit coupling and strong interactions leads to a larger gap, whereas the stronger spin-orbit coupling correlates with the larger magnitude of the Hall conductivity. Symmetry lowering in the course of structural relaxation hampers obtaining quantum anomalous Hall character, as pointed out previously; there is only mild structural symmetry breaking of the bilayer in these robust Chern phases. Recent growth of insulating, magnetic phases in closely related materials with this orientation supports the likelihood that synthesis and exploitation will follow.

Highlights

  • The honeycomb lattice,[1,2] in conjunction with its Dirac points and two-valley nature in graphene,[3] has provided the basic platform for a great number of explorations into new phases of matter and new phenomena

  • Bilayer of LaXO3 encased in LaAlO3 provides a honeycomb lattice that led to a call for engineering of a Chern insulator in such systems.[4,5]

  • We provide below detailed predictions that, once all effects are accounted for, 2LRuO and 2LOsO buckled honeycomb lattices will be Chern insulators with substantial gaps

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Summary

INTRODUCTION

The honeycomb lattice,[1,2] in conjunction with its Dirac points and two-valley nature in graphene,[3] has provided the basic platform for a great number of explorations into new phases of matter and new phenomena. These couple to the lattice to provide two more scales, the Jahn-Teller (λJT) and breathing (λbr) distortion strengths. A lively interplay was observed between pseudocubic local symmetry (each cation lies within an octahedron of six O ions) and global trigonal symmetry of the ideal lattice.[12,14] These studies provided important guidance for design of Chern phases in buckled honeycomb lattices. For SrIrO3 iridates ( d5), there are competing indications whether the bilayer perovskite platform will be both ferromagnetic (FM) and insulating as required for a Chern insulator, or rather will assume some less desirable configuration.[10,17,22] It is highly encouraging that (111)-grown SrIrO3 and (Ca,Sr)IrO3 have been synthesized, with the former found to be magnetic and insulating.[18,22] We provide below detailed predictions that, once all effects are accounted for, 2LRuO and 2LOsO buckled honeycomb lattices will be Chern insulators with substantial gaps

RESULTS
DISCUSSION
MATERIALS AND METHODS
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