Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2010-12-29
Phys. Rev. Lett. 106, 236803 (2011)
Physics
Condensed Matter
Strongly Correlated Electrons
4 pages, 3 figures, Supplementary materials added
Scientific paper
10.1103/PhysRevLett.106.236803
We report the theoretical discovery of a large class of 2D tight-binding models containing nearly-flat bands with nonzero Chern numbers. In contrast with previous studies, where nonlocal hoppings are usually required, the Hamiltonians of our models only require short-range hopping and have the potential to be realized in cold atomic gases. Due to the similarity with 2D continuum Landau levels, these topologically nontrivial nearly-flat bands may lead to the realization of fractional anomalous quantum Hall states and fractional topological insulators in real materials. Among the models we discover, the most interesting and practical one is a square-lattice three-band model which has only nearest-neighbor hopping. To understand better the physics underlying the topological flat band aspects, we also present the studies of a minimal two-band model on the checkerboard lattice.
Gu Zheng-Cheng
Katsura Hosho
Sarma Sankar Das
Sun Kai
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