论文标题
Lattice Laughlin和Moore-Read State的界面的模型波形
Model wavefunctions for an interface between lattice Laughlin and Moore-Read states
论文作者
论文摘要
我们使用共形场理论来构建模型波函数，以在波斯型劳林状态和费米子摩尔阅读状态的晶格版本之间的无间隙界面构建模型波形，均为$ν= 1/2 $。然后，使用蒙特卡洛方法研究了所得模型状态的性能，例如粒子密度，相关函数和rényi纠缠熵。此外，我们还为任何人激发（准颗粒和准霍尔斯）构建了波形。我们研究它们的密度概况，电荷和统计数据。我们表明，与较早研究的Laughlin-Laughlin案相似，有些人（Laughlin Abelian）可以越过界面，而另一些人（非阿布尔人）在这样的过程中失去了任何人。同样，我们认为，在局部粒子交换的假设下，多个接口产生了拓扑变性，可以将其解释为源自Majorana零模式。
We use conformal field theory to construct model wavefunctions for a gapless interface between lattice versions of a bosonic Laughlin state and a fermionic Moore-Read state, both at $ν=1/2$. The properties of the resulting model state, such as particle density, correlation function and Rényi entanglement entropy are then studied using the Monte Carlo approach. Moreover, we construct the wavefunctions also for anyonic excitations (quasiparticles and quasiholes). We study their density profile, charge and statistics. We show that, similarly to the Laughlin-Laughlin case studied earlier, some anyons (the Laughlin Abelian ones) can cross the interface, while others (the non-Abelian ones) lose their anyonic character in such a process. Also, we argue that, under an assumption of local particle exchange, multiple interfaces give rise to a topological degeneracy, which can be interpreted as originating from Majorana zero modes.
