Individual band with higher Chern numbers in double perovskite {001} monolayers

Abstract

We show a tight-binding model for double perovskite monolayers grown in the {001} crystallographic direction can exhibit higher Chern numbers for the lowest band of the model dispersion in the absence of an applied magnetic field, including $\pm 2$, $\pm 4$, $\pm 6$, and $\pm 8$, for model parameters and terms relevant to Sr${}_2$CrWO${}_6$ (SCWO). We further show it is possible to tune between these different topological phases by applying a weak in-plane magnetic field. These results may be important for experimentally realizing exotic band topologies -- and even quantum anomalous Hall insulators with higher Chern numbers -- based on this physics.

9 pages, 9 figures

References in corpus (11)

• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
• Quantum Anomalous Hall Effect in Graphene from Rashba and Exchange Effects
• Scalar spin chirality and quantum Hall effect on a triangular lattice
• Surface State Magnetization and Chiral Edge States on Topological Insulators
• Quantum Anomalous Hall State in Bilayer Graphene
• Topological flat band models with arbitrary Chern numbers
• Flat bands with higher Chern number in pyrochlore slabs
• Quantum anomalous Hall phase in (001) double-perovskite monolayers via intersite spin-orbit coupling
• Emergent dome of nematic order around a quantum anomalous Hall critical point

Cited by in corpus (1)

• Generating and detecting topological phases with higher Chern number