Combined topological and Landau order from strong correlations in Chern bands

Abstract

We present a class of states with both topological and conventional Landau order that arise out of strongly interacting spinless fermions in fractionally filled and topologically non-trivial bands with Chern number $C=\pm 1$. These quantum states show the features of fractional Chern insulators, such as fractional Hall conductivity and interchange of ground-state levels upon insertion of a magnetic flux. In addition, they exhibit charge order and a related additional trivial ground-state degeneracy. Band mixing and geometric frustration of the charge pattern place these lattice states markedly beyond a single-band description.

7 pages incl. supplement

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Cited by in corpus (32)

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• Quantum anomalous Hall crystal at fractional filling of moiré superlattices
• Parent Berry curvature and the ideal anomalous Hall crystal
• Intertwined Topological Phases induced by Emergent Symmetry Protection
• Recent Developments in Fractional Chern Insulators
• Self-organized topological insulator due to cavity-mediated correlated tunneling
• Wigner crystallization in topological flat bands
• Unifying topological phase transitions in noninteracting, interacting, and periodically driven systems
• Intertwined fractional quantum anomalous Hall states and charge density waves
• Chern-Simons Composite Fermion Theory of Fractional Chern Insulators
• Weyl-type topological phase transitions in fractional quantum Hall like systems
• Topological marker approach to an interacting Su-Schrieffer-Heeger model
• Tunable Chern insulator with shaken optical lattices
• Generalizing Quantum Hall Ferromagnetism to Fractional Chern Bands
• Large-$N$ Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect
• Symmetry breaking and fermionic fractional Chern insulator in topologically trivial bands
• Tuning the topological insulator states of artificial graphene
• Quantum anomalous Hall state from spatially decaying interactions on the decorated honeycomb lattice
• Intertwined Order in Fractional Chern Insulators from Finite-Momentum Pairing of Composite Fermions
• From Fractional Quantum Anomalous Hall Smectics to Polar Smectic Metals: Nontrivial Interplay Between Electronic Liquid Crystal Order and Topological Order in Correlated Topological Flat Bands
• Two-dimensional topological order of kinetically constrained quantum particles
• Fractional Chern insulator states in an isolated flat band of zero Chern number
• Reordering Fractional Chern Insulators into Stripes of Fractional Charges with Long-Range Interactions
• Interaction-driven transition between the Wigner crystal and the fractional Chern insulator in topological flat bands
• Generic integer and fractional quantum anomalous Hall crystals from interaction-driven band folding
• How quantum fluctuations freeze a classical liquid and then melt it into a topological one
• Topological Order Without Band Topology in Moiré Graphene
• Devil's staircase of topological Peierls insulators and Peierls supersolids
• Combined spontaneous symmetry-breaking and symmetry-protected topological order from cluster charge interaction