Existence of strong-pairing quantum Hall phase in bilayer cold atom systems with dipolar interactions

Abstract

We study bilayer fermionic cold atom systems with dipolar interactions, as well as a two-component tunable pseudopotential (TCTP) model which keeps only the zeroth and first Haldane pseudopotentials, at total Landau level filling factor 1/2. Our numerical results on the TCTP model indicates that Haldane-Rezayi state describes the critical point between strong and weak d-wave pairing quantum Hall phases. Further increasing the attractive zeroth pseudopotentials, the system transits from the strong-pairing phase to a stripe phase, and then to a cluster phase (or phase separation). The dipolar interaction can be mapped onto the TCTP model in the strong-pairing phase, if high order pseudopotentials are ignored. Our numerical results show that this is indeed the case, so the strong-pairing phase can be realized in the cold atom system.

arXiv comment7 pages, 9 figures

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Cited by in corpus (8)

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• Competing Abelian and non-Abelian topological orders in $\nu =1/3+1/3$ quantum Hall bilayers
• Numerical study of anisotropy in a composite Fermi liquid
• Light-induced fractional quantum Hall phases in graphene
• Matrix Product State Description and Gaplessness of the Haldane-Rezayi State
• Bilayer fractional quantum Hall states with ultracold dysprosium
• Dynamics of Quantum Hall Interfaces
• Second-quantized approach to the study of Halperin state in fractional quantum Hall effect