{ "id": "2003.00698", "version": "v1", "published": "2020-03-02T07:35:51.000Z", "updated": "2020-03-02T07:35:51.000Z", "title": "Multifractality of correlated two-particle bound states in quasiperiodic chains", "authors": [ "Diana Thongjaomayum", "Sergej Flach", "Alexei Andreanov" ], "comment": "7 pages, 8 figures", "categories": [ "cond-mat.dis-nn" ], "abstract": "We consider the quasiperiodic Aubry-Andr\\'e chain in the insulating regime with localised single-particle states. Adding local interaction leads to the emergence of extended correlated two-particle bound states. We analyse the nature of these states including their multifractality properties. We use a projected Green function method to compute numerically participation numbers of eigenstates and analyse their dependence on the energy and the system size. We then perform a scaling analysis. We observe multifractality of correlated extended two-particle bound states, which we confirm independently through exact diagonalisation.", "revisions": [ { "version": "v1", "updated": "2020-03-02T07:35:51.000Z" } ], "analyses": { "keywords": [ "quasiperiodic chains", "extended correlated two-particle bound states", "projected green function method", "correlated extended two-particle bound states", "quasiperiodic aubry-andre chain" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }