Mainz 2026 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 75: Quantum Systems between Bose and Fermi Statistics
Q 75.3: Talk
Friday, March 6, 2026, 11:30–11:45, P 11
Anyonic phase transitions in the 1D extended Hubbard model with fractional statistics — •Imke Schneider1, Martin Bonkhoff2, Kevin Jägering1, Axel Pelster1, Shijie Hu3, and Sebastian Eggert1 — 1University of Kaiserslautern-Landau (RPTU) — 2University of Hamburg — 3Beijing Computational Science Research Center
Recent advances in quantum technology allow the realization of "lattice anyons", which have enjoyed large interest as particles which interpolate between bosonic and fermionic behavior. We now study the interplay of such fractional statistics with strong correlations in the one-dimensional extended Anyon Hubbard model at unit filling by developing a tailored bosonization theory and employing large-scale state-of-the-art numerical simulations. The resulting phase diagram shows several distinct gapped and superfluid phases, which display an interesting transition through a multicritical point as the anyonic exchange phase is tuned from bosons to fermions. The universality of the phase transitions is discussed.
Keywords: Anyons; Critical Phenomena; Quantum Phase Transitions; Extended Hubbard Model; Luttinger Liquid model