Fractional Chern insulators with strong interactions far exceeding bandgaps

Abstract

We study two models for spinless fermions featuring topologically non-trivial bands characterized by Chern numbers $C=\pm 1$ at fractional filling. Using exact diagonalization, we show that, even for infinitely strong nearest-neighbor repulsion, the ground states of these models belong to the recently discovered class of quantum liquids called fractional Chern insulators (FCI). We thus establish that FCI states can arise even if interaction strengths are arbitrarily larger than the noninteracting band gap, going beyond the limits in which FCI states have been previously studied. The strong-coupling FCI states therefore depart from the usual isolated-band picture that parallels the fractional quantum Hall effect in Landau levels and demonstrate how a topologically ordered state can arise in a truly multiband system.

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• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Topological Flat Band Models and Fractional Chern Insulators
• Fractional Quantum Hall Effect in Optical Lattices
• Fractional Chern Insulators in Topological Flat bands with Higher Chern Number
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• Magnetic translation algebra with or without magnetic field in the continuum or on arbitrary Bravais lattices in any dimension

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