论文标题
大规模模拟粒子对称PFAFFIAN试验波形
Large-scale simulations of particle-hole-symmetric Pfaffian trial wavefunctions
论文作者
论文摘要
我们引入了一个成对的复合材料特性试验波函数，以实现任何奇怪的库珀对角动量。这些波功能不含参数，可以有效地投影到最低的Landau水平。我们使用大规模的蒙特卡洛模拟来研究三种情况：首先，摩尔阅读阶段，这是我们作为基准的。其次，我们探索与抗Pfaffian和粒子对称Pfaffian相关的配对。具体而言，我们评估其试验状态是否具有指数衰减相关性，因此代表了物质的间隙阶段。对于摩尔阅读和反菲富夫，我们发现$ξ_\ text {moore-read} = 1.30（5）$和$ξ_\ text {anti-pfaffafian} = 1.38（14）$，以磁性长度为单位。相比之下，对于pH-Pfaffian的情况，我们没有发现有限长度比例为56美元的颗粒的证据。
We introduce a family of paired-composite-fermion trial wave functions for any odd Cooper-pair angular momentum. These wave functions are parameter-free and can be efficiently projected into the lowest Landau level. We use large-scale Monte Carlo simulations to study three cases: Firstly, the Moore-Read phase, which serves us as a benchmark. Secondly, we explore the pairing associated with the anti-Pfaffian and the particle-hole-symmetric Pfaffian. Specifically, we assess whether their trial states feature exponentially decaying correlations and thus represent gapped phases of matter. For Moore-Read and anti-Pfaffian we find decay lengths of $ξ_\text{Moore-Read}=1.30(5)$ and $ξ_\text{anti-Pfaffian}=1.38(14)$, in units of the magnetic length. By contrast, for the case of PH-Pfaffian, we find no evidence of a finite length scale for up to $56$ particles.
