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THU: Thursday Contributed Sessions
THU 9: Correlated Quantum Matter: Contributed Session to Symposium II
THU 9.3: Vortrag
Donnerstag, 11. September 2025, 14:45–15:00, ZHG101
Phase diagram of the extended anyon Hubbard model in one dimension — •Imke Schneider1, Martin Bonkhoff2, Shijie Hu3, Kevin Jägering1, Axel Pelster1, and Sebastian Eggert1 — 1University of Kaiserslautern-Landau, Landesforschungszentrum OPTIMAS — 2Universität Hamburg — 3Beijing Computational Science Research Center
We study one-dimensional lattice anyons with extended Hubbard interactions. At unit filling a repulsive next-nearest neighbor interaction generally leads to gapped phases, but it is far from trivial which correlations are the dominant ones as a function of topological exchange angle and on-site interaction U. We find that a careful derivation of all terms in the Luttinger liquid theory predicts an intermediate phase between a Mott insulator for large repulsive U and a charge density wave at negative U. As a function of exchange angle the intermediate phase changes from Haldane insulator for pseudo bosons to a dimerized phase for pseudo fermions at an interesting multicritical point. Our results are confirmed by extensive numerical simulations.
Keywords: Lattice anyons; Hubbard model; One-dimensional systems; Luttinger liquid theory; iDMRG