{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"institution":[{"name":"Research Square"}],"indexed":{"date-parts":[[2025,5,14]],"date-time":"2025-05-14T06:38:07Z","timestamp":1747204687849,"version":"3.40.5"},"posted":{"date-parts":[[2023,6,22]]},"group-title":"In Review","reference-count":0,"publisher":"Springer Science and Business Media LLC","license":[{"start":{"date-parts":[[2023,6,22]],"date-time":"2023-06-22T00:00:00Z","timestamp":1687392000000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"accepted":{"date-parts":[[2023,6,13]]},"abstract":"<title>Abstract<\/title>\n        <p>We demonstrate that quasiperiodicity can radically change the ground state properties of 1D moir\u00e9 systems with respect to their periodic counterparts. By studying an illustrative example we show that while narrow bands play a significant role in enhancing interactions both for commensurate and incommensurate structures, only quasiperiodicity is able to extend the ordered phase down to an infinitesimal interaction strength. In this regime, the quasiperiodic-enabled state has contributions from infinitely many wave vectors. This quasi-factal regime cannot be stabilized in the commensurate case even in the presence of a narrow band. These findings suggest that quasiperiodicity may be a critical factor in stabilizing non-trivial ordered phases in interacting moir\u00e9 structures and signal out multifractal non-interacting phases, recently found in 2D incommensurate moir\u00e9 systems, as particularly promising parent states.<\/p>","DOI":"10.21203\/rs.3.rs-3059689\/v1","type":"posted-content","created":{"date-parts":[[2023,6,23]],"date-time":"2023-06-23T22:18:44Z","timestamp":1687558724000},"source":"Crossref","is-referenced-by-count":0,"title":["Incommensurability enabled quasi-fractal order in 1D narrow-band moir\u00e9 systems"],"prefix":"10.21203","author":[{"given":"Bruno","family":"Amorim","sequence":"first","affiliation":[{"name":"Centro de F\u00edsica das Universidades do Minho e do Porto (CF-UM-UP), Laborat\u00f3rio de F\u00edsica para Materiais e Tecnologias Emergentes (LaPMET), Universidade do Minho, Campus de Gualt"}]},{"given":"Flavio","family":"Riche","sequence":"additional","affiliation":[{"name":"CeFEMA-LaPMET, Departamento de F\u00edsica, Instituto Superior T\u00e9cnico, Universidade de Lisboa"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0993-3734","authenticated-orcid":false,"given":"Eduardo","family":"Castro","sequence":"additional","affiliation":[{"name":"Physics Department Instituto Superior T\u00e9cnico University of Lisbon, Lisbon, Portugal"}]},{"given":"Pedro","family":"Ribeiro","sequence":"additional","affiliation":[{"name":"CeFEMA, Instituto Superior Te\u0301cnico, Universidade de Lisboa"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4786-539X","authenticated-orcid":false,"given":"Miguel","family":"Gon\u00e7alves","sequence":"additional","affiliation":[{"name":"CeFEMA-LaPMET, Departamento de F\u00edsica, Instituto Superior T\u00e9cnico, Universidade de Lisboa"}]}],"member":"297","container-title":[],"original-title":[],"link":[{"URL":"https:\/\/www.researchsquare.com\/article\/rs-3059689\/v1","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.researchsquare.com\/article\/rs-3059689\/v1.html","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,12]],"date-time":"2024-10-12T07:05:42Z","timestamp":1728716742000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.researchsquare.com\/article\/rs-3059689\/v1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,6,22]]},"references-count":0,"URL":"https:\/\/doi.org\/10.21203\/rs.3.rs-3059689\/v1","relation":{"is-preprint-of":[{"id-type":"doi","id":"10.1038\/s41567-024-02662-2","asserted-by":"subject"}]},"subject":[],"published":{"date-parts":[[2023,6,22]]},"subtype":"preprint"}}