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calculated separation between the symmetric and antisymmetric energy levels, which is a measure of interlayer tunneling in our structure, is 0.06\u00a0K.","type":"other"},{"key":"7vkh-q7rdCc40R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.103882","type":"journal-article"},{"key":"7vkh-q7rdCc41R1","unstructured":"The temperature range studied here spans from \u22430.3 to \u22431.1\u2009\u2009K, as dRxy\/dB|B=Bc tends to saturate at lower temperatures. This saturation is understood as the finite-size effect of the device, which becomes relevant when the localization length (\u03be) approaches the dimensions of the Hall bar. See Refs.\u00a0[29, 42] and references therein for further details.","type":"other"},{"key":"7vkh-q7rdCc42R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41467-024-52927-w","type":"journal-article"},{"key":"7vkh-q7rdCc43R1","doi-asserted-by":"publisher","DOI":"10.1021\/ac60214a047","type":"journal-article"},{"key":"7vkh-q7rdCc44R1","unstructured":"See Supplemental Material at http:\/\/link.aps.org\/supplemental\/10.1103\/7vkh-q7rd for a detailed analysis of the Savitzky-Golay smoothing process, determination of nt and nb values, as well as \u03ba values.","type":"other"},{"key":"7vkh-q7rdCc45R1","unstructured":"In our experiments, the value of nt was determined from the gating efficiency of the global top gate, Vt; see SM for details [44]. Also, to determine the top-layer traces in Fig.\u00a03 for a given nt=n*, we assume that the two QWs are of comparable quality and proceed as follows. We apply a negative Vt bias to fully deplete the top layer, and then continue to decrease the electron density in the bottom layer to n*. We then measure Rxy of the bottom layer at this density and use it as a proxy for the Rxy of the top layer at the same electron density (n*).","type":"other"},{"key":"7vkh-q7rdCc46R1","doi-asserted-by":"publisher","DOI":"10.1038\/s41563-021-00942-3","type":"journal-article"},{"key":"7vkh-q7rdCc47R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.106.075134","type":"journal-article"},{"key":"7vkh-q7rdCc48R1","unstructured":"Note that, although the screening layer is located on only one side of the bottom layer, it is much closer to this layer compared to the characteristic distance to the disorder sources. As a result, image charges should screen the disorder potential regardless of whether the disorder originates above or below the bottom layer.","type":"other"},{"key":"7vkh-q7rdCc49R1","unstructured":"As noted in Supplementary Information, Note 1 of Ref.\u00a0[42], while the graphite gate efficiently screens the disorder potential, it is located sufficiently far from the graphene layer (i.e., d\/lB\u226b1), so that it does not screen electron-electron interaction in the trilayer graphene, consistent with their observation of \u03ba\u22430.42.","type":"other"},{"key":"7vkh-q7rdCc50R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.128.116801","type":"journal-article"},{"key":"7vkh-q7rdCc51R1","doi-asserted-by":"publisher","DOI":"10.1016\/0039-6028(90)90820-X","type":"journal-article"},{"key":"7vkh-q7rdCc52R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.130.226503","type":"journal-article"},{"key":"7vkh-q7rdCc53R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.128.026802","type":"journal-article"},{"key":"7vkh-q7rdCc54R1","volume-title":"Fractional Quantum Hall Effects: new developments","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":"2026","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":"116501"}}