论文标题
$ν= 5/2 $的分数量子厅系统的有效现场理论
An Effective Field Theory for Fractional Quantum Hall Systems near $ν=5/2$
论文作者
论文摘要
我们提出了一个在填充分数$ν= 5/2 $附近的分数量子霍尔系统的有效野外理论（EFT），该系统流向相关的IR候选阶段，包括非亚伯利亚PFAFFIAN，抗PFAFFAFFIAN和粒子 - 孔 - 孔 - 孔 - 孔 - 孔 - 孔 - 孔 - pfaffian状态（PF，APF和PHPF）。我们的EFT具有2+1 $ d $ o（2）$ _ {2，l} $ CHERN-SIMONS量规理论，并通过离散的电荷共轭量规字段与四个majoriage fermions结合，并带有Gross-Neveu-Neveu-neveu-neveu-yukawa-higgs术语。包括通过HIGGS凝结物和费米的质量项的变形，我们可以绘制具有可调参数的相图，从而再现了最近所传播的渗透图片及其无间隙拓扑量子相变的预测。我们的EFT捕获了PF和APF阶段之间时空破坏域壁的无间隙和间隙领域的已知特征。此外，我们发现pf $ \中$ apf域墙在PHPF阶段的张力高于域墙。然后，前者（如果形成）可能会过渡到充满活力的PHPF域壁。反过来，这可能有助于进一步诱导向PHPF的大量过渡。
We propose an effective field theory (EFT) of fractional quantum Hall systems near the filling fraction $ν=5/2$ that flows to pertinent IR candidate phases, including non-abelian Pfaffian, anti-Pfaffian, and particle-hole Pfaffian states (Pf, APf, and PHPf). Our EFT has a 2+1$d$ O(2)$_{2,L}$ Chern-Simons gauge theory coupled to four Majorana fermions by a discrete charge conjugation gauge field, with Gross-Neveu-Yukawa-Higgs terms. Including deformations via a Higgs condensate and fermion mass terms, we can map out a phase diagram with tunable parameters, reproducing the prediction of the recently-proposed percolation picture and its gapless topological quantum phase transitions. Our EFT captures known features of both gapless and gapped sectors of time-reversal-breaking domain walls between Pf and APf phases. Moreover, we find that Pf$\mid$APf domain walls have higher tension than domain walls in the PHPf phase. Then the former, if formed, may transition to the energetically-favored PHPf domain walls; this could, in turn, help further induce a bulk transition to PHPf.
