Nearly flat band with Chern number C=2 on the dice lattice

Details Nearly flat band with Chern number C=2 on the dice lattice Nearly flat band with Chern number C=2 on the dice lattice

2011-09-15

arxiv.org/abs/1109.3435v3

Phys. Rev. B 84, 241103(R) (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

updated references, 5 pages, 4 figures, RevTex4

Scientific paper

10.1103/PhysRevB.84.241103

We point out the possibility of nearly flat band with Chern number C=2 on the dice lattice in a simple nearest-neighbor tightbinding model. This lattice can be naturally formed by three adjacent $(111)$ layers of cubic lattice, which may be realized in certain thin films or artificial heterostructures, such as SrTiO$_3$/SrIrO$_3$/SrTiO$_3$ trilayer heterostructure grown along $(111)$ direction. The flatness of two bands is protected by the bipartite nature of the lattice. Including the Rashba spin-orbit coupling on nearest-neighbor bonds separate the flat bands with others but maintains their flatness. Repulsive interaction will drive spontaneous ferromagnetism on the Kramer pair of flat bands and split them into two nearly flat bands with Chern number $C=\pm 2$. We thus propose that this may be a route to quantum anomalous Hall effect and further conjecture that partial filling of the C=2 band may realize exotic fractional quantum Hall effects.

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