Berlin 2024 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 61: Correlated Electrons: 1D Theory

TT 61.1: Vortrag

Mittwoch, 20. März 2024, 16:30–16:45, H 3010

Phase diagram of the extended anyon Hubbard model in one dimension — •Sebastian Eggert¹, Martin Bonkhoff², Kevin Jägering¹, Shijie Hu³, Axel Pelster¹, and Imke Schneider¹ — 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 models; Luttinger Liquid Theory; iDMRG