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Fractional quantum Hall states at zero magnetic field
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Fractional quantum Hall states at zero magnetic field
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We present a simple prescription to flatten isolated Bloch bands with non-zero Chern number. We first show that approximate flattening of bands with non-zero Chern number is possible by tuning ratios of nearest-neighbor and next-nearest neighbor hoppings in the Haldane model and, similarly, in the chiral-pi-flux square lattice model. Then we show that perfect flattening can be attained with further range hoppings that decrease exponentially with distance. Finally, we add interactions to the model and present exact diagonalization results for a small system at 1/3 filling that support (i) the existence of a spectral gap, (ii) that the ground state is a topological state, and (iii) that the Hall conductance is quantized.
Forward citations
Cited by 2 Pith papers
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Quantum Metric Bound State of Light
Defect-induced bound states in flat bands have exponential decay length lower-bounded by the quantum metric when kinetic energy and CLS protection are absent.
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Superconductivity and non-Fermi liquid metals in a charge-1/3 anyon fluid
Doping a fractional Chern insulator yields an anyon fluid that can form an SC* superconductor with residual Z2 order or a non-Fermi liquid Z3 orthogonal metal.
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