Bosonic fractional Chern insulating state at integer fillings in multi-band system
arXiv:2107.06189 · doi:10.1103/PhysRevB.104.115126
Abstract
The integer quantum Hall state occurs when the Landau levels are fully occupied by the fermions, while the fractional quantum Hall state usually emerges when the Landau level is partially filled by the strongly correlated fermions or bosons. Here, we report two fractional Chern insulating states of the hard-core bosons in a multi-band lattice model hosting topological flat bands with high Chern number. The previously proposed fractional Chern insulating state inherited from the high Chern number of the lowest topological flat band is revisited by the infinite density matrix renormalization group algorithm. In particular, we numerically identify a bosonic -Laughlin-like fractional Chern insulating state at the integer fillings. We show two lower topological flat bands jointly generate an effective Chern band with half-filling. Furthermore, we find a strictly particle-hole-like symmetry between the and filling in our model. These findings extend our understanding of quantum Hall states and offer a new route to realize the novel fractional states in the system with multi-bands and high-Chern numbers.
arXiv comment9 pages, 7 figures
References in corpus (52)
- Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
- Experimental realisation of the topological Haldane model
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- High temperature fractional quantum Hall states
- Fractional quantum Hall states at zero magnetic field
- Topological orders and Edge excitations in FQH states
- Nearly-flat bands with nontrivial topology
- Fractional quantum Hall effect in the absence of Landau levels
- Fractional Chern Insulator
- Fractional quantum Hall states of atoms in optical Lattices
- High-Chern-Number and High-Temperature Quantum Hall Effect without Landau Levels
- Fractional Quantum Hall Effect of Hard-Core Bosons in Topological Flat Bands
- Nearly flat band with Chern number C=2 on the dice lattice
- Observation of fractional Chern insulators in a van der Waals heterostructure
- Fractional Quantum Hall Effect in Optical Lattices
- Topological Nematic States and Non-Abelian Lattice Dislocations
- Integer quantum Hall effect for bosons: A physical realization
- Fractional Chern Insulators in Topological Flat bands with Higher Chern Number
- Topological flat band models with arbitrary Chern numbers
- Fractional Quantum Hall Effect in Topological Flat Bands with Chern Number Two
- Composite Fermion Theory for Bosonic Atoms in Optical Lattices
- High field fractional quantum Hall effect in optical lattices
- Bloch Model Wavefunctions and Pseudopotentials for All Fractional Chern Insulators
- Non-Abelian Quantum Hall Effect in Topological Flat Bands
- Series of Abelian and Non-Abelian States in C>1 Fractional Chern Insulators
- Flat bands with higher Chern number in pyrochlore slabs
- Fractional Chern Insulators in Harper-Hofstadter Bands with Higher Chern Number
- Realizing and Adiabatically Preparing Bosonic Integer and Fractional Quantum Hall states in Optical Lattices
- Adiabatic continuation of Fractional Chern Insulators to Fractional Quantum Hall States
- Characterization and stability of a fermionic ν=1/3 fractional Chern insulator
- Quantum Hall Effect of Two-Component Bosons at Fractional and Integral Fillings
- Disorder driven collapse of the mobility gap and transition to an insulator in fractional quantum Hall effect
- Bosonic Integer Quantum Hall effect in an interacting lattice model
- Integer Quantum Hall State in Two-Component Bose Gases in a Synthetic Magnetic Field
- Enhancing the stability of a fractional Chern insulator against competing phases
- Flux insertion, entanglement, and quantized responses
- Adiabatic continuity between Hofstadter and Chern insulator states
- Microscopic model for the boson integer quantum Hall effect
- Stability of fractional Chern insulators in the effective continuum limit of Harper-Hofstadter bands with Chern number
- Bosonic integer quantum Hall effect in optical flux lattices
- From fractional Chern insulators to Abelian and non-Abelian fractional quantum Hall states: adiabatic continuity and orbital entanglement spectrum
- Obtaining topological degenerate ground states by the density matrix renormalization group
- Haldane Statistics for Fractional Chern Insulators with an Arbitrary Chern number
- Fractional Quantum Hall Bilayers at Half-Filling: Tunneling-driven Non-Abelian Phase
- Quantum Hall States in Rapidly Rotating Two-Component Bose Gases
- Chiral and Critical Spin Liquids in Spin- Kagome Antiferromagnet
- Tunable Band Topology Reflected by Fractional Quantum Hall States in Two-Dimensional Lattices
- Emergent particle-hole symmetry in spinful bosonic quantum Hall systems
- Characterization of quasiholes in two-component fractional quantum Hall states and fractional Chern insulators in flat bands
- Particle-Hole Symmetry and the Fractional Quantum Hall Effect in the Lowest Landau Level
- Bosonic integer quantum Hall states in topological bands with Chern number two
- Continuous phase transition between bosonic integer quantum Hall liquid and trivial insulator: evidences for deconfined quantum criticality