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

Madathil, P. T.; Rosales, K. A. Villegas; Tai, Cheng-Wei; Chung, Yoon Jang; Pfeiffer, L. N.; West, K. W.; Baldwin, K. W.; Shayegan, M.

doi:10.1103/physrevlett.130.226503

Cited by 1 publication

(7 citation statements)

References 44 publications

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Section: Discussionmentioning

confidence: 74%

“…We are now in a position to compare the universality of κ seen in the FQH PT in our highmobility TLG with non-universality of the same measured in the high-mobility 2D electronic gas confined to GaAs quantum wells [36]. The large spread in κ values seen in the data in GaAs quantum wells can be attributed to two main reasons [36]. The first is the formation of numerous developing FQH phases between ν = 1/3 and 2/5, which limits the temperature range over which one observes the decrease of ∆ with T (∆ being the width of R xx ).…”

Section: Discussionmentioning

confidence: 92%

“…The second reason for the deviation of the scaling exponent from 0.42 in GaAs quantum wells is related to the type of disorder present in the sample [36]. Universality in κ is observed only when effective disorder potential is short-ranged [33] (as in our graphite-gated high-mobility graphene devices) whereas, in GaAs/AlGaAs systems, long-range interaction from the impurities leads to long-range disorder potential fluctuations [36]. We fabricated graphene devices without the graphite gate electrodes to probe the effect of long-range interactions on κ.…”

Section: Discussionmentioning

confidence: 99%

“…Similar experimental investigations of scaling laws at transitions between FQH phases are scarce [34][35][36]. A recent experimental study on extremely high-mobility 2D electron gas confined to GaAs quantum wells found the value of κ in the FQH regime to be non-universal, this observation being attributable to long-range disorder correlation [36].…”

Section: Introductionmentioning

confidence: 94%

“…These recent studies [9,10,36] motivated us to experimentally revisit the scaling of FQH transitions in a platform where the nature of disorder scattering can be controlled. We leverage the fact that the electrical transport properties of high-mobility graphene devices are dominated by short-range impurity scattering, noting that those of low-mobility graphene devices are controlled by both short-ranged and long-ranged scattering potentials [37].…”

Section: Introductionmentioning

confidence: 99%

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Universality of Anderson Localization Transitions in the Integer and Fractional Quantum Hall Regime

Bid,

Kaur,

Chanda

et al. 2024

Preprint

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Understanding the interplay between electronic interactions and disorder-induced localization has been a longstanding quest in the physics of quantum materials. One of the most convincing demonstrations of the scaling theory of localization for noninteracting electrons has come from plateau transitions in the integer quantum Hall effect [1] with short-range disorder [2], wherein the localization length diverges as the critical filling factor is approached with a measured scaling exponent close to the theoretical estimates [3]. In this work, we extend this physics to the fractional quantum Hall effect [4], a paradigmatic phenomenon arising from a confluence of interaction, disorder, and topology. We employ high-mobility trilayer graphene devices where the transport is dominated by short-range impurity scattering, and the extent of Landau level mixing can be varied by a perpendicular electric field [5, 6]. Our principal finding is that the plateau-to-plateau transitions from N+1/3 to N+2/5 and from N+2/5 to N+3/7 fractional states are governed by a universal scaling exponent, which is identical to that for the integer plateau transitions and is independent of the perpendicular electric field. These observations and the values of the critical filling factors are consistent with a description in terms of Anderson localization-delocalization transitions [7] of weakly interacting electron-flux bound states called composite Fermions [8-10]. This points to a universal effective physics underlying fractional and integer plateau-to-plateau transitions independent of the quasiparticle statistics of the phases and unaffected by weak Landau level mixing. Besides clarifying the conditions for the realization of the scaling regime for composite fermions, the work opens the possibility of exploring a wide variety of plateau transitions realized in graphene, including the fractional anomalous Hall phases [11] and non-abelian FQH states [12].

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Section: Discussionmentioning

confidence: 74%

Section: Discussionmentioning

confidence: 92%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Universality of Anderson Localization Transitions in the Integer and Fractional Quantum Hall Regime

Bid,

Kaur,

Chanda

et al. 2024

Preprint

View full text Add to dashboard Cite

show abstract

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

Cited by 1 publication

References 44 publications

Universality of Anderson Localization Transitions in the Integer and Fractional Quantum Hall Regime

Universality of Anderson Localization Transitions in the Integer and Fractional Quantum Hall Regime

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