Freiburg 2024 – wissenschaftliches Programm
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A: Fachverband Atomphysik
A 37: Ultra-cold Atoms, Ions and BEC IV (joint session A/Q)
A 37.4: Vortrag
Freitag, 15. März 2024, 11:45–12:00, HS 1098
Phase diagram of the extended anyon Hubbard model in one dimension — •Imke Schneider1, Martin Bonkhoff2, Kevin Jägering1, Shijie Hu3, Axel Pelster1, and Sebastian Eggert1 — 1University of Kaiserslautern-Landau, Landesforschungszentrum OPTIMAS — 2Universität Hamburg — 3Beijing Computational Science Research Center
Anyons with arbitrary exchange angle can be realized using ultracold atoms in optical lattices. Here, we study the anyonic extended Hubbard model in one dimension. 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; One-dimensional models; Hubbard models; DMRG; Luttinger liquid theory