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

TL;DR

This paper demonstrates that a strong-pairing quantum Hall phase can be realized in bilayer cold atom systems with dipolar interactions, with numerical evidence linking the dipolar interaction to the TCTP model and identifying phase transitions.

Contribution

It shows that the strong-pairing quantum Hall phase is achievable in cold atom systems with dipolar interactions, connecting the dipolar interaction to the TCTP model and identifying phase transitions.

Findings

Haldane-Rezayi state as critical point between pairing phases

Transition from strong-pairing to stripe and cluster phases

Dipolar interaction maps onto TCTP model in strong-pairing phase

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.