Reentrant<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ν</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math>Quantum Hall State in a Two-Dimensional Hole System

Graninger, A. L.; Kamburov, D.; Shayegan, M.; Pfeiffer, L. N.; West, K. W.; Baldwin, K. W.; Winkler, Roland

doi:10.1103/physrevlett.107.176810

Cited by 9 publications

(10 citation statements)

References 13 publications

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“…This is not unexpected. Previous measurements in similar 2DHSs have indeed revealed a crossing of the two lowest-energy LLs as the sample is tilted in B [35]. In Fig.…”

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confidence: 65%

Even-denominator fractional quantum Hall effect at a Landau level crossing

et al. 2014

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The fractional quantum Hall effect (FQHE), observed in two-dimensional (2D) charged particles at high magnetic fields, is one of the most fascinating, macroscopic manifestations of a many-body state stabilized by the strong Coulomb interaction. It occurs when the filling factor (ν) of the quantized Landau levels (LLs) is a fraction which, with very few exceptions, has an odd denominator. In 2D systems with additional degrees of freedom it is possible to cause a crossing of the LLs at the Fermi level. At and near these crossings, the FQHE states are often weakened or destroyed. Here we report the observation of an unusual crossing of the two lowest-energy LLs in high-mobility GaAs 2D hole systems which brings to life a new even-denominator FQHE at ν = 1/2. arXiv:1401.7742v1 [cond-mat.mes-hall]

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“…This is not unexpected. Previous measurements in similar 2DHSs have indeed revealed a crossing of the two lowest-energy LLs as the sample is tilted in B [35]. In Fig.…”

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confidence: 65%

Even-denominator fractional quantum Hall effect at a Landau level crossing

et al. 2014

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“…3(b)), indicating that layer thickness is not the only parameter that determines the CF Fermi contour anisotropy. We add that the LLs for GaAs 2D holes are particularly complex because of their non-linear dependence on B ⊥ [19] and unexpected crossings in tilted magnetic fields [41,42]. In contrast, 2D electrons in GaAs QWs have a much simpler set of energy band parameters and LL structure.…”

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confidence: 99%

Fermi contour anisotropy of GaAs electron-flux composite fermions in parallel magnetic fields

et al. 2014

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In high-quality two-dimensional electrons confined to GaAs quantum wells, near Landau level filling factors ν = 1/2 and 1/4, we observe signatures of the commensurability of the electron-flux composite fermion cyclotron orbits with a unidirectional periodic density modulation. Focusing on the data near ν = 1/2, we directly and quantitatively probe the shape of the composite fermions' cyclotron orbit, and therefore their Fermi contour, as a function of magnetic field (B || ) applied parallel to the sample plane. The composite fermion Fermi contour becomes severely distorted with increasing B || and appears to be elliptical, in sharp contrast to the electron Fermi contour which splits as the system becomes bilayer-like at high B || . We present a simple, qualitative model to interpret our findings.

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“…We attribute the evolution in Fig. 3 data to a B ||induced LL crossing 13,27,28 . Unfortunately, no accurate calculations of LLs in the presence of both B ⊥ and B || are available, particularly for 2DHSs with multiband structure.…”

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confidence: 97%

Unusual Landau level pinning and correlatedν=1quantum Hall effect in hole systems confined to wide GaAs quantum wells

et al. 2015

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In two-dimensional hole systems confined to wide GaAs quantum wells, where the heavy-and light-hole states are close in energy, we observe a very unusual crossing of the lowest two Landau levels as the sample is tilted in magnetic field. At a magic tilt angle θ 34• , which surprisingly is independent of the well-width or hole density, in a large filling factor range near ν = 1 the lowest two levels are nearly degenerate as evinced by the presence of two-component quantum Hall states. Remarkably, a quantum Hall state is seen at ν = 1, consistent with a correlated Ψ111 state.

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Reentrantν=1Quantum Hall State in a Two-Dimensional Hole System

Cited by 9 publications

References 13 publications

Even-denominator fractional quantum Hall effect at a Landau level crossing

Even-denominator fractional quantum Hall effect at a Landau level crossing

Fermi contour anisotropy of GaAs electron-flux composite fermions in parallel magnetic fields

Unusual Landau level pinning and correlatedν=1quantum Hall effect in hole systems confined to wide GaAs quantum wells

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