# Bosonic Halperin fractional quantum Hall effect at filling factor $ν=2/5$

### Submission summary

 As Contributors: Tian-Sheng Zeng Arxiv Link: https://arxiv.org/abs/2009.06471v1 (pdf) Date submitted: 2020-09-16 11:53 Submitted by: Zeng, Tian-Sheng Submitted to: SciPost Physics Discipline: Physics Subject area: Condensed Matter Physics - Theory Approach: Theoretical

### Abstract

Quantum Hall effects with multicomponent internal degrees of freedom facilitate the playground of novel emergent topological orders. Here, we explore the correlated topological phases of two-component hardcore bosons at a total filling factor $\nu=2/5$ in both lattice Chern band models and Landau level continuum model under the interplay of intracomponent and intercomponent repulsions. We show the theoretical discovery of the emergence of two competing distinct fractional quantum Hall states which have not been reported before: Halperin (441) fractional quantum Hall effect and Halperin (223) fractional quantum Hall effect. We elucidate their topological features including the degeneracy of the ground state and fractionally quantized topological Chern number matrix. Finally, we discuss scenarios related to phase transition between them when intercomponent nearest-neighbor coupling is tuned from weak to strong in lattice models.

###### Current status:
Editor-in-charge assigned