Work

Phases of interacting Fibonacci anyons on a ladder at half-filling

Year: 2026

Type: article

Abstract: Two-dimensional many-body quantum systems can exhibit topological order and support collective excitations with anyonic statistics different from the usual fermionic or bosonic ones. With the emergence of these exotic point-like particles, it is natural to ask what phases can arise in interacting many-anyon systems. To study this topic, we consider the particular case of Fibonacci anyons subject to an anyonic tight-binding model with nearest-neighbor repulsion on a two-leg ladder. Focusing on the case of half-filling, for low interaction strengths an “anyonic” metal is found, whereas for strong repulsion, the anyons form an insulating charge-density wave. Within the latter regime, we introduce an effective one-dimensional model up to sixth order in perturbation theory arising from anyonic superexchange processes. We numerically identify four distinct phases of the effective model, which we characterize using matrix product state methods. These include both the ferro- and antiferromagnetic golden chain phases, as well as phases with Z 2 and incommensurate correlations.

Source: Physical review. B./Physical review. B

DOI: 10.1103/c92g-mhly

Authors: Nico Kirchner, Roderich Moessner, Frank Pollmann, Adam Gammon-Smith

Institutions: Munich Center for Quantum Science and Technology, Technical University of Munich, Max Planck Institute for the Physics of Complex Systems, University of Nottingham

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid