Correlated States of 2D Electrons near the Landau Level Filling 
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Chung, Yoon Jang; Graf, David; Engel, L. W.; Rosales, K. A. Villegas; Madathil, P. T.; Baldwin, K. W.; West, K. W.; Pfeiffer, L. N.; Shayegan, M.

doi:10.1103/physrevlett.128.026802

Cited by 11 publications

(8 citation statements)

References 36 publications

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“…In contrast, a significantly larger mobility of the sample in ref. 24 , by more than a factor 25 larger than that in early work 8 , did not result in opening of an energy gap at either ν = 1/7 or 2/13. Third, signatures at the prominent members of this sequence were observed in transport only and not in other experiments.…”

Section: Introductioncontrasting

confidence: 51%

“…But these local minima did not persist to the lowest temperatures attained in those experiments. The transport signatures observed at ν = 1/7, 2/13, and 2/11 are clearly different from those of canonical FQHSs; they were interpreted as evidence of FQHSs at finite temperatures which were engulfed by a competing Wigner solid ground state at the lowest temperatures 10 – 24 . This interpretation, however, left lingering questions.…”

Section: Introductionmentioning

confidence: 87%

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Evidence for Topological Protection Derived from Six-Flux Composite Fermions

Huang,

Hussain,

Myers

et al. 2024

Nat Commun

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The composite fermion theory opened a new chapter in understanding many-body correlations through the formation of emergent particles. The formation of two-flux and four-flux composite fermions is well established. While there are limited data linked to the formation of six-flux composite fermions, topological protection associated with them is conspicuously lacking. Here we report evidence for the formation of a quantized and gapped fractional quantum Hall state at the filling factor ν = 9/11, which we associate with the formation of six-flux composite fermions. Our result provides evidence for the most intricate composite fermion with six fluxes and expands the already diverse family of highly correlated topological phases with a new member that cannot be characterized by correlations present in other known members. Our observations pave the way towards the study of higher order correlations in the fractional quantum Hall regime.

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Section: Introductioncontrasting

confidence: 51%

Section: Introductionmentioning

confidence: 87%

Evidence for Topological Protection Derived from Six-Flux Composite Fermions

Huang,

Hussain,

Myers

et al. 2024

Nat Commun

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“…However, at very low filling factors, when the density of electrons is sufficiently small, a WC is expected to be stabilized. Recent studies suggest that the FQH fluid can prevail over the WC at filling factors as low as =1∕7 Pan et al (2002), Chung et al (2022). Furthermore, the WC that is stabilized at <1∕7 is not that of electrons, but of electron-vortex composites called composite fermions (CFs) Archer et al (2013), Zuo et al (2020), that we will introduce in Sec.…”

Section: Wigner Crystals In the Lowest Landau Levelmentioning

confidence: 92%

Fractional quantum Hall effect in semiconductor systems

Papić¹,

Balram²

2022

Preprint

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The fractional quantum Hall (FQH) effect refers to the strongly-correlated phenomena and the associated quantum phases of matter realized in a two-dimensional gas of electrons placed in a large perpendicular magnetic field. In such systems, topology and quantum mechanics conspire to give rise to exotic physics that manifests via robust quantization of the Hall resistance. In this chapter, we provide an overview of the experimental phenomenology of the FQH effect in GaAs-based semiconductor materials and present its theoretical interpretations in terms of trial wave functions, composite fermion quasiparticles, and enigmatic non-Abelian states. We also highlight some recent developments, including the parton theory and the Dirac composite fermion field theory of FQH states, the role of anisotropy and geometrical degrees of freedom, and quantum entanglement in FQH fluids.

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“…Two-dimensional electron systems subjected to high transverse magnetic fields can exhibit Fractional Quantum Hall Effects (FQHE), which signify incompressible correlated electronic states in the vicinity of mostly odd-and some even-denominator rational fractional filling factors, ν ∼ p/q , of Landau levels 1-3 . Although graphene [4][5][6] has recently become an interesting material for studying FQHE [7][8][9][10][11][12][13] , along with the ZnO based system [14][15][16] , the GaAs/AlGaAs system, due to its extra-ordinarily high quality, is still a material of choice for studying related phenomena 3,17,18 . In the GaAs/AlGaAs 2D electron system, a double degeneracy of Landau levels due to electronspin, is removed by a small Zeeman spin splitting, gµ B B , comparable to the correlation energy.…”

mentioning

confidence: 99%

Size dependence- and induced transformations- of fractional quantum Hall effects under tilted magnetic fields

Wijewardena

Nanayakkara

Kriisa

et al. 2022

Sci Rep

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Two-dimensional electron systems subjected to high transverse magnetic fields can exhibit Fractional Quantum Hall Effects (FQHE). In the GaAs/AlGaAs 2D electron system, a double degeneracy of Landau levels due to electron-spin, is removed by a small Zeeman spin splitting, $$g \mu _B B$$ g μ B B , comparable to the correlation energy. Then, a change of the Zeeman splitting relative to the correlation energy can lead to a re-ordering between spin polarized, partially polarized, and unpolarized many body ground states at a constant filling factor. We show here that tuning the spin energy can produce fractionally quantized Hall effect transitions that include both a change in $$\nu$$ ν for the $$R_{xx}$$ R xx minimum, e.g., from $$\nu = 11/7$$ ν = 11 / 7 to $$\nu = 8/5$$ ν = 8 / 5 , and a corresponding change in the $$R_{xy}$$ R xy , e.g., from $$R_{xy}/R_{K} = (11/7)^{-1}$$ R xy / R K = ( 11 / 7 ) - 1 to $$R_{xy}/R_{K} = (8/5)^{-1}$$ R xy / R K = ( 8 / 5 ) - 1 , with increasing tilt angle. Further, we exhibit a striking size dependence in the tilt angle interval for the vanishing of the $$\nu = 4/3$$ ν = 4 / 3 and $$\nu = 7/5$$ ν = 7 / 5 resistance minima, including “avoided crossing” type lineshape characteristics, and observable shifts of $$R_{xy}$$ R xy at the $$R_{xx}$$ R xx minima- the latter occurring for $$\nu = 4/3, 7/5$$ ν = 4 / 3 , 7 / 5 and the 10/7. The results demonstrate both size dependence and the possibility, not just of competition between different spin polarized states at the same $$\nu$$ ν and $$R_{xy}$$ R xy , but also the tilt- or Zeeman-energy-dependent- crossover between distinct FQHE associated with different Hall resistances.

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Correlated States of 2D Electrons near the Landau Level Filling ν=1/7

Cited by 11 publications

References 36 publications

Evidence for Topological Protection Derived from Six-Flux Composite Fermions

Evidence for Topological Protection Derived from Six-Flux Composite Fermions

Fractional quantum Hall effect in semiconductor systems

Size dependence- and induced transformations- of fractional quantum Hall effects under tilted magnetic fields

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