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

by Tian-Sheng Zeng, Liangdong Hu, W. Zhu

Submission summary

As Contributors: Tian-Sheng Zeng
Arxiv Link: (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


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.

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Submission 2009.06471v1 on 16 September 2020

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