Nearly flat band with Chern numberC=2on the dice lattice
By Fa Wang, Ying Ran. 2011
183 citations recorded by the source corpus.
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.
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/d4d20cb01d553f3b033b9a8335b7f651a39f8bd1
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In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Fractional quantum Hall physics in topological flat bands (2013, unknown): “Several authors [34,35,36,37] all constructed flat bands with fairly large flatness parameters, even with hopping restricted to a few near neighbors.”
- Artificial flat band systems: from lattice models to experiments (2018, background): “[87] Fa Wang and Ying Ran, “Nearly flat band with Chern number C = 2 on the dice lattice,” Phys.”
- Physics of Ultrathin Films and Heterostructures of Rare-Earth Nickelates (2016, unknown): “Similarly, the dice lattice shown in Figure 7(c), can be obtained by growing three unit cells along the [1 1 1]pc direction[130].”