Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Anomalous Hall State in Ferromagnetic SrRuO$_3$ (111) Bilayers   SrRuO$_3$ heterostructures grown in the (111) direction are a rare example of
thin film ferromagnets. By means of density functional theory plus dynamical
mean field theory we show that the half-metallic ferromagnetic state with an
ordered magnetic moment of 2$\mu_{B}$/Ru survives the ultimate dimensional
confinement down to a bilayer, even at elevated temperatures of 500$\,$K. In
the minority channel, the spin-orbit coupling opens a gap at the linear band
crossing corresponding to $\frac34$ filling of the $t_{2g}$ shell. We
demonstrate that the respective state is Haldane's quantum anomalous Hall state
with Chern number $C$=1, without an external magnetic field or magnetic
impurities.

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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: econ
2
The categories of this paper are: math
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
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The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn