Fractional Quantum Hall Effect in Topological Flat Bands with Chern Number Two

Abstract

Recent theoretical works have demonstrated various robust Abelian and non-Abelian fractional topological phases in lattice models with topological flat bands carrying Chern number C=1. Here we study hard-core bosons and interacting fermions in a three-band triangular-lattice model with the lowest topological flat band of Chern number C=2. We find convincing numerical evidence of bosonic fractional quantum Hall effect at the $\nu =1/3$ filling characterized by three-fold quasi-degeneracy of ground states on a torus, a fractional Chern number for each ground state, a robust spectrum gap, and a gap in quasihole excitation spectrum. We also observe numerical evidence of a robust fermionic fractional quantum Hall effect for spinless fermions at the $\nu =1/5$ filling with short-range interactions.

5 pages, 7 figures, with Supplementary Material

References in corpus (6)

• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Fractional quantum Hall effect in the absence of Landau levels
• Fractional Quantum Hall Effect in Topological Flat Bands with Chern Number Two
• Quantum phases of disordered flatband lattice fractional quantum Hall systems

Cited by in corpus (8)

• Genons, twist defects, and projective non-Abelian braiding statistics
• Topological flat band models with arbitrary Chern numbers
• Fractional Quantum Hall Effect in Topological Flat Bands with Chern Number Two
• Bloch Model Wavefunctions and Pseudopotentials for All Fractional Chern Insulators
• Flat bands with higher Chern number in pyrochlore slabs
• Enhancing the stability of a fractional Chern insulator against competing phases
• Superfluidity of Bosons in Kagome Lattices with Frustration
• Magnetic translation algebra with or without magnetic field in the continuum or on arbitrary Bravais lattices in any dimension