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Halperin","year":"1983","journal-title":"Helv. Phys. Acta","ISSN":"https:\/\/id.crossref.org\/issn\/0018-0238","issn-type":"print"},{"key":"ywpx-qm7dCc32R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.79.205301","type":"journal-article"},{"key":"ywpx-qm7dCc33R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.110.165402","type":"journal-article"},{"key":"ywpx-qm7dCc34R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.110.245140","type":"journal-article"},{"key":"ywpx-qm7dCc36R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.77.1813","type":"journal-article"},{"key":"ywpx-qm7dCc37R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.79.2722","type":"journal-article"},{"key":"ywpx-qm7dCc38R1","volume-title":"1998 Les Houches Summer School, Session LXIX, Topological Aspects of Low Dimensional Systems","author":"M. Shayegan","year":"1999","type":"book"},{"key":"ywpx-qm7dCc39R1","unstructured":"See Supplemental Material at http:\/\/link.aps.org\/supplemental\/10.1103\/ywpx-qm7d for an exhaustive set of Rxx traces, Arrhenius plots for the extraction of \u03941\/2, and relevant discussion around the physical parameters of the 2DES in a wide GaAs QW.","type":"other"},{"key":"ywpx-qm7dCc40R1","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511607561","type":"book","volume-title":"Composite Fermions","author":"J.\u2009K. Jain","year":"2007"},{"key":"ywpx-qm7dCc42R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.95.045417","type":"journal-article"},{"key":"ywpx-qm7dCc43R1","unstructured":"These are 1C FQHSs because, if they were 2C, then the layer fillings would be 3\/14, 5\/22, etc., which are not plausible FQHSs. Note also in Fig.\u00a02 the emergence of an FQHS at \u03bd=11\/15. This state has been reported previously in wide GaAs QWs at high densities, and was shown be to an \u201cimbalanced\u201d FQHS where the layer densities spontaneously become unequal [37].","type":"other"},{"key":"ywpx-qm7dCc44R1","unstructured":"One would expect similar transitions for other even-numerator FQHSs near \u03bd=1\/2, but they are engulfed on the 2C side by the strong insulting phases that surround \u03bd=1\/2, especially for \u03bd&lt;1\/2; see Ref.\u00a0[36].","type":"other"},{"key":"ywpx-qm7dCc45R1","unstructured":"The transitions at \u03bd=2\/3 and 4\/7 occur at slightly different values of \u03b1. The 2\/3 FQHS undergoes its 1C to 2C transition at \u03b1\u22430.073 as signaled by the narrowing of the 2\/3 FQHS plateau.","type":"other"},{"key":"ywpx-qm7dCc46R1","unstructured":"Note that the blue, open square in Fig.\u00a02 represents the density (n\u22431.78) at which, based on the phase diagram for the stability of 1\/2 FQHS in wide GaAs QWs [18], we expect the 1\/2 FQHS to collapse and give way to an insulating phase. In our experiments we do not have access to the magnetic fields required to reach \u03bd=1\/2 at n=1.78, but the weakening of the 1\/2 FQHS and the dominance of the insulating phase as this density is approached is evident in Fig.\u00a01.","type":"other"},{"key":"ywpx-qm7dCc47R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.82.235312","type":"journal-article"},{"key":"ywpx-qm7dCc48R1","unstructured":"We point out that the definitions of the tunneling terms in Refs.\u00a0[27, 29] are different. In Ref.\u00a0[27] the authors define t=\u03b1, whereas in Ref.\u00a0[29], Zhu et\u00a0al. define the parameter t\u22a5=\u03b1\/2. The data of Fig.\u00a04(c) of Ref.\u00a0[29], adapted as the red curve in Fig.\u00a02, has been appropriately scaled by the factor of 2 to match our definition of \u03b1.","type":"other"},{"key":"ywpx-qm7dCc49R1","unstructured":"The calculations in Ref.\u00a0[27] are done for a large range of parameters of layer thickness and d\/\u2113B. Figure\u00a02 is an example, with parameters closest to our sample\u2019s parameters. See SM Sec.\u00a0III [39] for additional details.","type":"other"},{"key":"ywpx-qm7dCc50R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.37.8476","type":"journal-article"},{"key":"ywpx-qm7dCc51R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.52.R17032","type":"journal-article"},{"key":"ywpx-qm7dCc52R1","doi-asserted-by":"publisher","DOI":"10.1088\/0953-8984\/11\/38\/308","type":"journal-article"},{"key":"ywpx-qm7dCc53R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.66.075408","type":"journal-article"},{"key":"ywpx-qm7dCc54R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.104.076803","type":"journal-article"},{"key":"ywpx-qm7dCc55R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.127.056801","type":"journal-article"},{"key":"ywpx-qm7dCc56R1","unstructured":"We add that in our experiments we do not see hysteresis or other signs of domain formation typically associated with a phase transition.","type":"other"},{"key":"ywpx-qm7dCc57R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.75.1186","type":"journal-article"},{"key":"ywpx-qm7dCc58R1","doi-asserted-by":"publisher","DOI":"10.1016\/0039-6028(94)90850-8","type":"journal-article"},{"key":"ywpx-qm7dCc59R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.61.10267","type":"journal-article"},{"key":"ywpx-qm7dCc60R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.84.3950","type":"journal-article"},{"key":"ywpx-qm7dCc61R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.82.075302","type":"journal-article"},{"key":"ywpx-qm7dCc62R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.96.241305","type":"journal-article"},{"key":"ywpx-qm7dCc64R1","unstructured":"We cannot rule out that the 1\/2 FQHS remains 1C in the entire range of densities studied. This is an interesting possibility as it would imply that the 2DES is 2C over a large range of filling factors around \u03bd=1\/2, but the 1\/2 FQHS remains 1C.","type":"other"},{"key":"ywpx-qm7dCc65R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.105.045306","type":"journal-article"},{"key":"ywpx-qm7dCc66R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.83.3530","type":"journal-article"},{"key":"ywpx-qm7dCc67R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41563-021-00942-3","type":"journal-article"},{"key":"ywpx-qm7dCc68R1","doi-asserted-by":"publisher","DOI":"10.1038\/nphys3259","type":"journal-article"},{"key":"ywpx-qm7dCc69R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.121.256601","type":"journal-article"},{"key":"ywpx-qm7dCc70R1","doi-asserted-by":"publisher","DOI":"10.1021\/nl5003922","type":"journal-article"},{"key":"ywpx-qm7dCc71R1","volume-title":"Fractional Quantum Hall Effects","author":"C. 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All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2025","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"American Physical Society","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"246603"}}