2025/07/29 by Nico Kirchner, Kirchner, Nico, Roderich Moessner +5
Materials Science · Physics and Astronomy · #Fibonacci number #Physics of Superconductivity and Magnetism #Quasicrystal Structures and Properties #Representation (politics) #Set (abstract data type) #Topological Materials and Phenomena #Topological quantum computer #Work (physics)
paper · pdf · open access · doi:10.1103/c92g-mhly
published in Physical review. B./Physical review. B 114(4) (American Physical Society)
openalex publication_date 2026/06/23 · openalex created_date 2026/06/24 · openalex updated_date 2026/08/05
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 <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"> <a:msub> <a:mi mathvariant="double-struck">Z</a:mi> <a:mn>2</a:mn> </a:msub> </a:math> and incommensurate correlations.