Model wavefunctions for an interface between lattice Laughlin and Moore-Read states

TL;DR

This paper constructs and analyzes model wavefunctions for a gapless interface between lattice Laughlin and Moore-Read states at /2, revealing properties of anyonic excitations and topological degeneracy.

Contribution

It introduces a conformal field theory-based method to model and study the interface between Laughlin and Moore-Read states, including anyonic excitations and topological features.

Findings

Some anyons can cross the interface, others lose their anyonic character.

Multiple interfaces can lead to topological degeneracy from Majorana zero modes.

The properties of the interface state are characterized by density, correlation, and entanglement measurements.

Abstract

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 $\nu=1/2$. The properties of the resulting model state, such as particle density, correlation function and R\'enyi 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.