Delocalization and Universality of the Fractional Quantum Hall Plateau-to-Plateau Transitions

Madathil, P. T.; Villegas Rosales, K. A.; Tai, C. T.; Chung, Y. J.; Pfeiffer, L. N.; West, K. W.; Baldwin, K. W.; Shayegan, M.

doi:10.1103/physrevlett.130.226503

Delocalization and Universality of the Fractional Quantum Hall Plateau-to-Plateau Transitions

Journal Article · Fri Jun 02 00:00:00 EDT 2023 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.130.226503· OSTI ID:2418928

Madathil, P. T. ^[1]; Villegas Rosales, K. A. ^[2]; Tai, C. T. ^[2]; Chung, Y. J. ^[2]; Pfeiffer, L. N. ^[2]; West, K. W. ^[2]; Baldwin, K. W. ^[2]; ^[2]

Princeton Univ., NJ (United States); OSTI
Princeton Univ., NJ (United States)

Disorder and electron-electron interaction play essential roles in the physics of electron systems in condensed matter. In two-dimensional, quantum Hall systems, extensive studies of disorder-induced localization have led to the emergence of a scaling picture with a single extended state, characterized by a power-law divergence of the localization length in the zero-temperature limit. Experimentally, scaling has been investigated via measuring the temperature dependence of plateau-to-plateau transitions between the integer quantum Hall states (IQHSs), yielding a critical exponent κ ≃ 0.42. Here, in this study, we report scaling measurements in the fractional quantum Hall state (FQHS) regime where interaction plays a dominant role. Our Letter is partly motivated by recent calculations, based on the composite fermion theory, that suggest identical critical exponents in both IQHS and FQHS cases to the extent that the interaction between composite fermions is negligible. The samples used in our experiments are two-dimensional electron systems confined to GaAs quantum wells of exceptionally high quality. We find that κ varies for transitions between different FQHSs observed on the flanks of Landau level filling factor v = 1/2 and has a value close to that reported for the IQHS transitions only for a limited number of transitions between high-order FQHSs with intermediate strength. We discuss possible origins of the nonuniversal κ observed in our experiments.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Univ., NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); Gordon and Betty Moore Foundation (GBMF)

Grant/Contract Number:: FG02-00ER45841

OSTI ID:: 2418928

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 22 Vol. 130; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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