Phase diagram of $\nu =\frac{1}{2}+\frac{1}{2}$ bilayer bosons with inter-layer couplings

Abstract

We present the quantitative phase diagram of the bilayer bosonic fractional quantum Hall system on the torus geometry at total filling factor $\nu =1$ in the lowest Landau level. We consider short-range interactions within and between the two layers, as well as the inter-layer tunneling. In the fully polarized regime, we provide an updated detailed numerical analysis to establish the presence of the Moore-Read phase of both even and odd numbers of particles. In the actual bilayer situation, we find that both inter-layer interactions and tunneling can provide the physical mechanism necessary for the low-energy physics to be driven by the fully polarized regime, thus leading to the emergence of the Moore-Read phase. Inter-layer interactions favor a ferromagnetic phase when the system is $SU(2)$ symmetric, while the inter-layer tunneling acts as a Zeeman field polarizing the system. Besides the Moore-Read phase, the $(220)$ Halperin state and the coupled Moore-Read state are also realized in this model. We study their stability against each other.

10 pages, 13 figures

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• Fibonacci Anyons From Abelian Bilayer Quantum Hall States
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• Possible non-Abelian Moore-Read state in double-layer bosonic fractional quantum Hall system
• Emergent Fermi sea in a system of interacting bosons

Cited by in corpus (7)

• Model Fractional Chern Insulators
• Variational Ansatz for an Abelian to non-Abelian Topological Phase Transition in $\nu =1/2+1/2$ Bilayers
• Emergent particle-hole symmetry in spinful bosonic quantum Hall systems
• Quantum Hall phase diagram of two-component Bose gases: Intercomponent entanglement and pseudopotentials
• Microscopic Diagnosis of Universal Geometric Responses in Fractional Quantum Hall Liquids
• Critical Majorana fermion at a topological quantum Hall bilayer transition
• Bosonic Halperin fractional quantum Hall effect at filling factor $\nu =2/5$