Experiments on ordering in classical and quantum 2D electron systems

Glattli, Christian; Deville, G.; Duburcq, V.; Williams, Ferd; Paris, E.; Etienne, B.; Andrei, Eva Y.

doi:10.1016/0039-6028(90)90902-k

Cited by 53 publications

(24 citation statements)

References 39 publications

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“…Figure 2(c) shows resonance spectra for fixed B 18 T as n is varied. The resonances shift to higher f and broaden as n is decreased at fixed B for all B where the resonance is observed, as it did in other samples [6,9].…”

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confidence: 70%

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Correlation Lengths of the Wigner-Crystal Order in a Two-Dimensional Electron System at High Magnetic Fields

et al. 2002

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The insulator terminating the fractional quantum Hall series at low Landau level filling nu is generally taken to be a pinned Wigner crystal (WC), and exhibits a microwave resonance that is interpreted as a WC pinning mode. For a high quality sample at several densities, n, we find maxima in resonance peak frequency, f(pk), vs magnetic field, B. L, the correlation length of WC order, is calculated from f(pk). For each n, L vs nu tends at low nu toward a line with positive intercept; the fit is accurate over as much as a factor of 5 range of nu. The linear behavior is interpreted as due to B compressing the electron wave functions, to alter the effective electron-impurity interaction.

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“…In double quantum wells, evidence for ordering came from commensurability effects [18]. In the context of a model [13], domain size has been estimated previously from early microwave [6], surface acoustic wave [19], and nonlinear I-V data [6,20].…”

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confidence: 99%

Correlation Lengths of the Wigner-Crystal Order in a Two-Dimensional Electron System at High Magnetic Fields

et al. 2002

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“…Theoretical calculations [7] of the shear-mode (acoustic-phonon) dispersion in the 2D hexagonal Wigner lattice have traced the co(k) dispersion curve for a number of principal directions up to the Brillouin-zone boundary, and for arbitrary directions in the k~0 limit (when the dispersion is isotropic). There is clear experimental evidence now both for the electron liquid on the surface of liquid helium [8,9] and for heterojunctions [9][10][11] which confirms the existence of shear waves in the crystalline phase.…”

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confidence: 76%

Dielectric tensor and shear-mode dispersion for strongly coupled Coulomb liquids: Two-dimensional electron liquid

1992

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Similar to the three-dimensional (3D) one-component plasma (OCP), a two-dimensional (2D) OCP (electron film on the surface of liquid He, e.g.) can support transverse shear waves. We adapt the quasilocalized charge formalism of the preceding paper [Golden, Kalman, and Wyns, Phys. Rev. A 46, 3454 (1992}]to the analysis of the 2D transverse dielectric-response function and identify the shear mode, whose existence is unique to the strongly coupled system. We study the dispersion of the shear mode in the 22 & I & 120 domain (I =e /akim T, a is the 2D Wigner-Seitz radius) and compare it with the results of the molecular-dynamics simulations of Totsuji and Kakeya [Phys. Rev. A 22, 1220(1980]. Agreement between the theory and simulation results is quite satisfactory. We also establish the correspondence between the shear mode of the strongly coupled 2D OCP and the acoustic phonons of the 2D Wigner crystal.PACS number(s): 52.25. Mq, 52.35.Lv, 73.20.Mf

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“…The high field insulating phase (HFIP) found in twodimensional electron systems (2DES) beyond 1=5 [2] has been interpreted as a magnetic-field-induced WS [3]. Recent microwave transmission experiments [4,5] provide perhaps the most direct evidence for this interpretation. The insulating behavior can be understood as the pinning of the WS by the impurities present in the host crystal and the microwave resonances are the oscillation modes of the WS experiencing the pinning potential of these impurities [6].…”

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Magnetic-Field-Induced Insulating Phases at Largers

et al. 2005

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Exploring a two-dimensional hole system in the large r(s) regime we found a surprisingly rich phase diagram. At the highest densities, beside the nu =1/3, 2/3, and 2/5 fractional quantum Hall states, we observe both of the previously reported high field insulating and reentrant insulating phases. As the density is lowered, the reentrant insulating phase initially strengthens, then it unexpectedly starts weakening until it completely disappears. The intricate behavior of the insulating phases can be explained by a nonmonotonic melting line in the nu-r(s) phase space.

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Experiments on ordering in classical and quantum 2D electron systems

Cited by 53 publications

References 39 publications

Correlation Lengths of the Wigner-Crystal Order in a Two-Dimensional Electron System at High Magnetic Fields

Correlation Lengths of the Wigner-Crystal Order in a Two-Dimensional Electron System at High Magnetic Fields

Dielectric tensor and shear-mode dispersion for strongly coupled Coulomb liquids: Two-dimensional electron liquid

Magnetic-Field-Induced Insulating Phases at Largers

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