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Three-dimensional quantum anomalous Hall effect in hyperhoneycomb lattices
Physical review B
We address the role of short range interactions for spinless fermions in the hyperhoneycomb lattice, a three dimensional (3D) structure where all sites have a planar trigonal connectivity. For weak interactions, the system is a line-node semimetal. In the presence of strong interactions, we show that the system can be unstable to a 3D quantum anomalous Hall phase with loop currents that break time reversal symmetry, as in the Haldane model. We find that the low energy excitations of this statedoi:10.1103/physrevb.97.201101 fatcat:vhnejrjy2zc7navqsr7tzwfiuu