The dramatically different behavior between bosonic and fermionic particles at low temperatures is well known as a prototypical quantum phenomenon. With advances of technology in trapping ultracold atoms the possibility of a new intermediate particle species has emerged: lattice anyons with a topological exchange parameter, which exist in their own low dimensional world. OSCAR researchers in Kaiserslautern now predict what type of quantum matter forms when these anyons interact using high precision analytical and numerical results. By adjusting the topological parameter the behavior changes from a bosonic Haldane insulator to a fermionic dimer state with an anyonic multi-critical line in between. The results highlight the unusual properties of emergent quantum particles with fractional statistics.
Phys. Rev. Lett. 135, 036601 (2025)
