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We study the interfaces between lattice Laughlin states at differentfillings. We propose a class of model wavefunctions for such systemsconstructed using conformal field theory. We find a nontrivial form of chargeconservation at the interface, similar to the one encountered in the fieldtheory works from the literature. Using Monte Carlo methods, we evaluate thecorrelation function and entanglement entropy at the border. Furthermore, weconstruct the wavefunction for quasihole excitations and evaluate their mutualstatistics with respect to quasiholes originating at the same or the other sideof the interface. We show that some of these excitations lose their anyonicstatistics when crossing the interface, which can be interpreted asimpermeability of the interface to these anyons. Contrary to most of theprevious works on interfaces between topological orders, our approach ismicroscopic, allowing for a direct simulation of e.g. an anyon crossing theinterface. Even though we determine the properties of the wavefunctionnumerically, the closed-form expressions allow us to study systems too large tobe simulated by exact diagonalization.

Model wavefunctions for interfaces between lattice Laughlin states