论文标题
Gaffnian和Haffnian：非单身CFT与不可压缩分数量子厅效应的身体相关性
The Gaffnian and Haffnian: physical relevance of non-unitary CFT for incompressible fractional quantum Hall effect
论文作者
论文摘要
我们仔细观察了Gaffnian和Haffnian Quasihole歧管（相应模型汉密尔顿人的零空间）对众所周知的差距分数量子厅（FQH）阶段的有用性。这些子空间的保形不变性明确地来自微观多体状态。最终的CFT描述导致了一个有趣的新兴主要领域，其中$ h = 2，c = 0 $，我们认为quasihole歧管是机械定义明确的量子量且行为良好的量子。 Focusing on the incompressible phases at $ν=1/3$ and $ν=2/5$, we show the low-lying excitations of the Laughlin phase are quantum fluids of Gaffnian and Haffnian quasiholes, and give a microscopic argument showing that the Haffnian model Hamiltonian is gapless against Laughlin quasielectrons.我们讨论了$ν= 2/5 $的热厅电导和射击噪声测量值，并认为可以从Gaffnian Quasihole歧管中的动力学中理解实验观测值。提出了有关这些实验测量的许多详细预测，我们讨论了它们与常规CFT参数和复合费用描述的关系。
We motivate a close look on the usefulness of the Gaffnian and Haffnian quasihole manifold (null spaces of the respective model Hamiltonians) for well-known gapped fractional quantum Hall (FQH) phases. The conformal invariance of these subspaces are derived explicitly from microscopic many-body states. The resultant CFT description leads to an intriguing emergent primary field with $h=2,c=0$, and we argue the quasihole manifolds are quantum mechanically well-defined and well-behaved. Focusing on the incompressible phases at $ν=1/3$ and $ν=2/5$, we show the low-lying excitations of the Laughlin phase are quantum fluids of Gaffnian and Haffnian quasiholes, and give a microscopic argument showing that the Haffnian model Hamiltonian is gapless against Laughlin quasielectrons. We discuss the thermal Hall conductance and shot noise measurements at $ν=2/5$, and argue that the experimental observations can be understood from the dynamics within the Gaffnian quasihole manifold. A number of detailed predictions on these experimental measurements are proposed, and we discuss their relationships to the conventional CFT arguments and the composite fermion descriptions.
