The integer quantum Hall state occurs when Landau levels are fully occupied by fermions, while the fractional quantum Hall state usually emerges when the Landau level is partially filled by strongly correlated fermions or bosons. Here, we report two fractional Chern insulating states of hard-core bosons in a multiband lattice model hosting topological flat bands with a high Chern number. The previously proposed $\ensuremath{\nu}=1/3$ fractional Chern insulating state inherited from the high Chern number $C=2$ of the lowest topological flat band is revisited by the infinite density matrix renormalization group algorithm. In particular, we numerically identify a bosonic $1/2$ -Laughlin-like fractional Chern insulating state at the integer fillings. We show two lower topological flat bands jointly generate an effective $C=1$ Chern band with half filling. Furthermore, we find a strictly particle-hole-like symmetry between the $\ensuremath{\nu}$ and $3\ensuremath{-}\ensuremath{\nu}$ filling in our model. These findings extend our understanding of quantum Hall states and offer a route to realize fractional states in the system with multibands and high Chern numbers.The integer quantum Hall state occurs when Landau levels are fully occupied by fermions, while the fractional quantum Hall state usually emerges when the Landau level is partially filled by strongly correlated fermions or bosons. Here, we report two fractional Chern insulating states of hard-core bosons in a multiband lattice model hosting topological flat bands with a high Chern number. The previously proposed $\ensuremath{\nu}=1/3$ fractional Chern insulating state inherited from the high Chern number $C=2$ of the lowest topological flat band is revisited by the infinite density matrix renormalization group algorithm. In particular, we numerically identify a bosonic $1/2$-Laughlin-like fractional Chern insulating state at the integer fillings. We show two lower topological flat bands jointly generate an effective $C=1$ Chern band with half filling. Furthermore, we find a strictly particle-hole-like symmetry between the $\ensuremath{\nu}$ and $3\ensuremath{-}\ensuremath{\nu}$ filling in our model. These findings extend our understanding of quantum Hall states and offer a route to realize fractional states in the system with multibands and high Chern numbers.

arXiv:2107.06189Physical review. B./Physical review. BSep 15, 20218 citations

Topological characterization and dynamics of a fermionic fractional Chern insulator

Frank Pollmann, Adolfo G. Grushin, Johannes Motruk +1 more

Bulletin of the American Physical SocietyMar 6, 20150 citations

Fractional Chern insulator with Rydberg-dressed neutral atoms

Yang Zhao, Xiaofeng Shi

Topological nontrivial bands can be realized via Rydberg-dressed neutral atoms. We propose a two-dimensional hard-core boson model with a topological flat band on a honeycomb array, where the particle hopping is realized via van der Waals interactions that exchange the Rydberg states of two interacting atoms, while nonzero phases associated with hopping arises from the transfer of laser phase to the wave functions of Rydberg atoms. Using exactly diagonalization and infinite density matrix renormalization group simulation, we find in the system a fractional Chern insulator phase with a Chern number $C=1/2$ , which can persist in the presence of weak many-body interactions. These reveal that neutral-atom arrays can emulate fractional Chern insulators. Finally, we also study the proposed two-dimensional hard-core boson model under different theoretical parameter settings; the results further support that the generated nonzero phases associated with hopping amplitudes can produce a stable fractional Chern insulator state theoretically.Topological nontrivial bands can be realized via Rydberg-dressed neutral atoms. We propose a two-dimensional hard-core boson model with a topological flat band on a honeycomb array, where the particle hopping is realized via van der Waals interactions that exchange the Rydberg states of two interacting atoms, while nonzero phases associated with hopping arises from the transfer of laser phase to the wave functions of Rydberg atoms. Using exactly diagonalization and infinite density matrix renormalization group simulation, we find in the system a fractional Chern insulator phase with a Chern number $C=1/2$, which can persist in the presence of weak many-body interactions. These reveal that neutral-atom arrays can emulate fractional Chern insulators. Finally, we also study the proposed two-dimensional hard-core boson model under different theoretical parameter settings; the results further support that the generated nonzero phases associated with hopping amplitudes can produce a stable fractional Chern insulator state theoretically.

Physical Review ANov 6, 20236 citations

Fractional Chern insulator on the triangular lattice

Stefanos Kourtis, Jörn W. F. Venderbos, Jeroen van den Brink +1 more

Bulletin of the American Physical SocietyMar 19, 20130 citations

C=2

of the lowest topological flat band is revisited by the infinite density matrix renormalization group algorithm. In particular, we numerically identify a bosonic

1/2

-Laughlin-like fractional Chern insulating state at the integer fillings. We show two lower topological flat bands jointly generate an effective

C=1

Chern band with half filling. Furthermore, we find a strictly particle-hole-like symmetry between the $\ensuremath{\nu}$ and $3\ensuremath{-}\ensuremath{\nu}$ filling in our model. These findings extend our understanding of quantum Hall states and offer a route to realize fractional states in the system with multibands and high Chern numbers.

C=1/2

, which can persist in the presence of weak many-body interactions. These reveal that neutral-atom arrays can emulate fractional Chern insulators. Finally, we also study the proposed two-dimensional hard-core boson model under different theoretical parameter settings; the results further support that the generated nonzero phases associated with hopping amplitudes can produce a stable fractional Chern insulator state theoretically.