Model wavefunctions for interfaces between lattice Laughlin states

TL;DR

This paper introduces a microscopic model for interfaces between lattice Laughlin states, analyzing charge conservation, correlation functions, entanglement, and anyon statistics, revealing interface effects on anyonic excitations.

Contribution

The work presents a novel microscopic wavefunction construction for lattice Laughlin interfaces, enabling direct simulation of anyon crossing and large system analysis.

Findings

Charge conservation at the interface resembles field theory predictions.

Some anyonic excitations lose their statistics crossing the interface.

The approach allows studying large systems beyond exact diagonalization.

Abstract

We study the interfaces between lattice Laughlin states at different fillings. We propose a class of model wavefunctions for such systems constructed using conformal field theory. We find a nontrivial form of charge conservation at the interface, similar to the one encountered in the field theory works from the literature. Using Monte Carlo methods, we evaluate the correlation function and entanglement entropy at the border. Furthermore, we construct the wavefunction for quasihole excitations and evaluate their mutual statistics with respect to quasiholes originating at the same or the other side of the interface. We show that some of these excitations lose their anyonic statistics when crossing the interface, which can be interpreted as impermeability of the interface to these anyons. Contrary to most of the previous works on interfaces between topological orders, our approach is microscopic, allowing for a direct simulation of e.g. an anyon crossing the interface. Even though we determine the properties of the wavefunction numerically, the closed-form expressions allow us to study systems too large to be simulated by exact diagonalization.