Phonon Absorption at the Magnetoroton Minimum in the Fractional Quantum Hall Effect

Mellor, C.J.; Eyles, R.H.; Digby, J.E.; Kent, A. J.; Benedict, K. A.; Challis, L. J.; Henini, M.; Foxon, C.T.; Harris, J. J.

doi:10.1103/physrevlett.74.2339

Cited by 51 publications

(56 citation statements)

References 17 publications

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“…Rotons were first observed in superfluids, as local minima in the phonon dispersion at large momentum. The magneto-rotons in quantum Hall fluids occur as global minima of the energy at nonzero momentum and have been detected in many experiments [2][3][4]. There are several theoretical many-body and field theoretic treatments [5][6][7].…”

Section: Introductionmentioning

confidence: 99%

Fluctuations of a holographic quantum Hall fluid

Jokela

Järvinen

Lippert

2012

J. High Energ. Phys.

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We analyze the neutral spectrum of the holographic quantum Hall fluid described by the D2-D8' model. As expected for a quantum Hall state, we find the system to be stable and gapped and that typically the lowest excitation mode is a magneto-roton. In addition, we find magneto-rotons in higher modes as well. We show that these magneto-rotons are direct consequences of level crossings between vector and scalar modes. * najokela@physics.technion.ac.il † mjarvine@physics.uoc.gr ‡ mlippert@physics.uoc.gr 1 arXiv:1107.3836v2 [hep-th]

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Section: Introductionmentioning

confidence: 99%

Fluctuations of a holographic quantum Hall fluid

Jokela

Järvinen

Lippert

2012

J. High Energ. Phys.

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“…The charge gap, which appears as the activation energy in transport experiments, is defined as the k → ∞ limit of the CF exciton dispersion. The neutral gap is the energy difference between the lowest lying CF exciton state and the ground state; it is the excitation energy of the global magnetoroton minimum and can be measured using phonon absorption 51,52 or inelastic light scattering 19,20,22,53 experiments. For completeness we also estimate the long wavelength limit (k → 0) of the CF exciton gap.…”

Section: Lexciton Smentioning

confidence: 99%

Positions of the magnetoroton minima in the fractional quantum Hall effect

Balram

2017

Eur. Phys. J. B

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The multitude of excitations of the fractional quantum Hall state are very accurately understood, microscopically, as excitations of composite fermions across their Landau-like Λ levels. In particular, the dispersion of the composite fermion exciton, which is the lowest energy spin conserving neutral excitation, displays filling-factor-specific minima called "magnetoroton" minima. Simon and Halperin employed the Chern-Simons field theory of composite fermions [Phys. Rev. B 48, 17368 (1993)] to predict the magnetoroton minima positions. Recently, Golkar et al. [Phys. Rev. Lett. 117, 216403 (2016)] have modeled the neutral excitations as deformations of the composite fermion Fermi sea, which results in a prediction for the positions of the magnetoroton minima. Using methods of the microscopic composite fermion theory we calculate the positions of the roton minima for filling factors up to 5/11 along the sequence s/(2s + 1) and find them to be in reasonably good agreement with both the Chern-Simons field theory of composite fermions and Golkar et al.'s theory. We also find that the positions of the roton minima are insensitive to the microscopic interaction in agreement with Golkar et al.'s theory. As a byproduct of our calculations, we obtain the charge and neutral gaps for the fully spin polarized states along the sequence s/(2s ± 1) in the lowest Landau level and the n = 1 Landau level of graphene.

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“…The low lying excited states of these quantum liquids are believed to consist of collective modes with a deep minimum in their dispersion relation, known as the magnetoroton minimum, at wavevectors comparable to l À1 f where l f is the magnetic length [6]. In recent years these excitations have been investigated experimentally by means of resonant Raman scattering techniques [7] and time-averaged phonon absorption spectroscopy [1]. The resonant Raman scattering experiments rely on disorder present in the sample to couple the photons to the large in-plane wavevectors of the magnetorotons.…”

Section: Physica B 256±258 (1998) 36±42mentioning

confidence: 99%

“…The interaction of phonons with a two-dimensional electron system (2DES) in the fractional quantum Hall (FQH) regime has been a topic of great interest in recent years using experimental techniques such as time-averaged phonon spectroscopy [1], the temperature dependence of the resistance [2], thermopower experiments [3] and phonon-emission experiments [4]. Despite the weak electron±phonon interaction, phonons are able to couple e ciently to a 2DES as conservation of both in-plane wavevector and energy is possible.…”

Section: Introductionmentioning

confidence: 99%

Angle-resolved ballistic phonon absorption spectroscopy in the lowest Landau level

Mellor

Zeitler

Devitt

et al. 1999

Physica B: Condensed Matter

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We report the results of a study of the absorption of non-equilibrium ballistic phonons by a two-dimensional electron system, in strong magnetic ®elds, by measuring its change in resistance. At the even denominator Landau level ®lling factors, m, of 1/2 and 3/2 the electron±phonon interaction is observed to be cut-o above a particular value of the component of the wavevector perpendicular to the low dimensional system. This cut-o is consistent with that due to the ®nite thickness of the 2DES. At fractional quantum Hall e ect minima (1/3, 2/5, 2/3) we observe that the cut-o to the interaction depends on the ®lling factor. At m 1/3, the energy gap determined from these experiments is consistent with the theoretical prediction of the magnetoroton energy gap. Ó

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Phonon Absorption at the Magnetoroton Minimum in the Fractional Quantum Hall Effect

Cited by 51 publications

References 17 publications

Fluctuations of a holographic quantum Hall fluid

Fluctuations of a holographic quantum Hall fluid

Positions of the magnetoroton minima in the fractional quantum Hall effect

Angle-resolved ballistic phonon absorption spectroscopy in the lowest Landau level

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