SU(N) fractional quantum Hall effects in topological flat bands

Abstract

We study $N$-component interacting particles (hardcore bosons and fermions) loaded in topological lattice models with SU$(N)$-invariant interactions based on density matrix renormalization group method. By tuning the interplay of interspecies and intraspecies interactions, we demonstrate that a class of SU$(N)$ fractional quantum Hall states can emerge at fractional filling factors $\nu =N/(N+1)$ for bosons ($\nu =N/(2N+1)$ for fermions) in the lowest Chern band, characterized by the nontrivial fractional Hall responses and the fractional charge pumping. Moreover, we establish a topological characterization based on the $\mathbf{K}$ matrix, and discuss the close relationship to the fractional quantum Hall physics in topological flat bands with Chern number $N$.

arXiv comment9 pages, 12 figures

References in corpus (60)

• 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
• Observation of the Fractional Quantum Hall Effect in Graphene
• Nearly-flat bands with nontrivial topology
• Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Fractional quantum Hall effect in the absence of Landau levels
• Fractional Chern Insulator
• Topological Flat Band Models and Fractional Chern Insulators
• Multicomponent fractional quantum Hall effect in graphene
• Floquet topological insulators
• Spin and valley quantum Hall ferromagnetism in graphene
• Exact SO(5) Symmetry in spin 3/2 fermionic system
• Fractional Quantum Hall Effect of Hard-Core Bosons in Topological Flat Bands
• Topological Nematic States and Non-Abelian Lattice Dislocations
• Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model
• Fractional Chern Insulators in Topological Flat bands with Higher Chern Number
• Topological flat band models with arbitrary Chern numbers
• Unconventional Sequence of Fractional Quantum Hall States in Suspended Graphene
• New Class of Non-Abelian Spin-Singlet Quantum Hall States
• Fractional Quantum Hall Effect in Topological Flat Bands with Chern Number Two
• 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
• Fractional Quantum Hall Phase Transitions and Four-flux Composite Fermions in Graphene
• Fractional Chern Insulators in Harper-Hofstadter Bands with Higher Chern Number
• Quantum Hall Effect of Two-Component Bosons at Fractional and Integral Fillings
• SU(4) composite fermions in graphene: New fractional quantum Hall states
• Phase Diagram for Quantum Hall Bilayers at $\nu =1$
• Analysis of a SU(4) generalization of Halperin's wave function as an approach towards a SU(4) fractional quantum Hall effect in graphene sheets
• Fractional and integer quantum Hall effects in the zeroth Landau level in graphene
• Fermionic Chern-Simons theory for the Fractional Quantum Hall Effect in Bilayers
• Quantum Hall states and boson triplet condensate for rotating spin-1 bosons
• SO(5) symmetry in the quantum Hall effect in graphene
• Rotating spin-1 bosons in the lowest Landau level
• Broken SU(4) Symmetry and The Fractional Quantum Hall Effect in Graphene
• Phase Diagram of Fractional Quantum Hall Effect of Composite Fermions in Multi-Component Systems
• Quantum Hall Phase Diagram of Second Landau-level Half-filled Bilayers: Abelian versus Non-Abelian States
• Quantum Hall Phase Diagram of Half-filled Bilayers in the Lowest and the Second Orbital Landau Levels: Abelian versus Non-Abelian Incompressible Fractional Quantum Hall States
• The plasma picture of the fractional quantum Hall effect with internal SU(K) symmetries
• Haldane Statistics for Fractional Chern Insulators with an Arbitrary Chern number
• Geometric construction of Quantum Hall clustering Hamiltonians
• Quantum Hall States in Rapidly Rotating Two-Component Bose Gases
• Separation of spin and charge in paired spin-singlet quantum Hall states
• Tunable Band Topology Reflected by Fractional Quantum Hall States in Two-Dimensional Lattices
• Non-Abelian spin singlet states of two-component Bose gases in artificial gauge fields
• Quantum Hall phases of two-component bosons
• Two-component quantum Hall effects in topological flat bands
• Interacting bosons in topological optical flux lattices
• Effective field theory for the bulk and edge states of quantum Hall states in unpolarized single layer and bilayer systems
• Mott made easy
• Multi-Particle Pseudopotentials for Multi-Component Quantum Hall Systems
• Multi-component fractional quantum Hall states in graphene: SU(4) versus SU(2)
• Fermionic Chern-Simons Theory of SU(4) Fractional Quantum Hall Effect
• Fractional Quantum Hall States of Dipolar Gases in Chern Bands
• Invariant structure of the hierarchy theory of fractional quantum Hall states with spin
• Transition from two-component 332 Halperin state to one-component Jain state at filling factor ν=2/5

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• Fractional Chern Insulators in Twisted Bilayer MoTe${}_2$: A Composite Fermion Perspective
• Continuous phase transition between bosonic integer quantum Hall liquid and trivial insulator: evidences for deconfined quantum criticality
• Topological characterization of hierarchical fractional quantum Hall effects in topological flat bands with SU($N$) symmetry
• Chern number matrix of the non-Abelian spin-singlet fractional quantum Hall effect
• Quantum Hall effects of exciton condensate in topological flat bands
• Fractional quantum Hall effect of Bose-Fermi mixtures
• Optical Signature of Flat Bands in Topological Hourglass Semimetal Nb3SiTe6
• Integer quantum Hall effect of two-component hardcore bosons in a topological triangular lattice
• Halperin $(m^{\prime },m,n)$ fractional quantum Hall effect in topological flat bands
• Interlayer correlated fractional quantum Hall state in the ν = 4/5 bilayer system
• Quantum Magnetism in Wannier-Obstructed Mott Insulators
• Bosonic Halperin fractional quantum Hall effect at filling factor $\nu =2/5$
• Three-component fractional quantum Hall effect in topological flat bands