隧道驱动的331态击穿和突现的费米和复合费米液相
Tunneling-driven breakdown of the 331 state and the emergent Pfaffian and composite Fermi liquid phases
摘要：
我们研究了在最低朗道能级上产生摩尔-里德普费曼的可能性，当多组分Halperin 331态（被认为描述了填充因子为$ν=1/2$的量子霍尔双层和宽量子阱）被隧穿的增加所破坏时。使用精确对角化的双层哈密顿与短程和长程（库仑）相互作用在球形和周期性的矩形几何形状，我们建立隧道是一个扰动，驱动331状态到可压缩的复合费米液体，具有中间临界状态的可能性，具有一些性能的摩尔-里德Pfiran。这些结果解释在两个组件BCS模型与隧道约束的柯西配对。我们评论的条件施加在一个系统上的波动密度，以实现稳定的Pfavian阶段。
英文摘要：
We examine the possibility of creating the Moore-Read Pfaffian in the lowest Landau level when the multicomponent Halperin 331 state (believed to describe quantum Hall bilayers and wide quantum wells at the filling factor $ν=1/2$) is destroyed by the increase of tunneling. Using exact diagonalization of the bilayer Hamiltonian with short-range and long-range (Coulomb) interactions in spherical and periodic rectangular geometries, we establish that tunneling is a perturbation that drives the 331 state into a compressible composite Fermi liquid, with the possibility for an intermediate critical state that possesses some properties of the Moore-Read Pfaffian. These results are interpreted in the two-component BCS model for Cauchy pairing with a tunneling constraint. We comment on the conditions to be imposed on a system with fluctuating density in order to achieve the stable Pfaffian phase.
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