Publisher's Note: Evidence of a First-Order Phase Transition Between Wigner-Crystal and Bubble Phases of 2D Electrons in Higher Landau Levels [Phys. Rev. Lett.<b>93</b>, 176808 (2004)]

Lewis, Rupert; Chen, Yong; Engel, L. W.; Tsui, D. C.; Ye, P. D.; Pfeiffer, L. N.; West, K. W.

doi:10.1103/physrevlett.94.059902

Cited by 16 publications

(39 citation statements)

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“…Given the different contact sizes and different methods to fabricate the contacts, we can rule out the scenario that the merging results from lack of the electrochemical potential mixing between 2DEG and contacts. Mixed insulating phases between the bubble phase and the WC have been proposed by both microwave and transport measurements [43,44]. Inhomogeneity of 2DEG, and the separation between IQHE regions and patches of electronic solids may contribute to the phenomenon we observed.…”

Section: Domain Size Of the Bubble Phasesmentioning

confidence: 47%

Depinning transition of bubble phases in a high Landau level

Wang

et al. 2015

Phys. Rev. B

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In the higher Landau levels (N>0) a reentrant integer quantum Hall effect (RIQHE) state, which resides at fractional filling factors but exhibiting integer Hall plateaus, has been previously observed and studied extensively. The nonlinear dynamics of RIQHE were measured by microwave resonance, with the results consistent with an electronic bubble phase pinned by impurities. We have carried out Introduction In condensed matter systems nonlinear dynamics are commonly associated with a class of translational-symmetry-broken phases, often termed electronic crystals. Archetypical examples include Wigner crystals (WC), striped phase in high T c superconductors, charge order in organic materials, and charged colloidal crystals. Among these, nonlinear transport of the charge density wave (CDW) has been studied extensively [1,2], where CDW is pinned by impurities in a small bias regime. Its dynamics can be revealed by dramatic transport behaviors, such as threshold electric field (E T ) and conductance steps resulting from the de-pinning transition in an increasing bias. In the quantum Hall system which is realized in a two-dimensional electron gas (2DEG) under an intensive magnetic field, the WC, striped, and bubble phases have been observed [3][4][5][6][7][8][9][10][11][12][13]. In order to understand the nonlinear dynamics of these phases, it is of great interest to directly measure their critical transport parameters, such as thresholds for the de-pinning. However, such information is often obscured by off-diagonal component of the conductance tensor under magnetic fields.

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Section: Domain Size Of the Bubble Phasesmentioning

confidence: 47%

Depinning transition of bubble phases in a high Landau level

Wang

et al. 2015

Phys. Rev. B

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“…A small residual resistance peak, of amplitude 5 separates the two insulating phases, labeled I1 and I2. Previous microwave conductivity measurements found distinct resonances in both insulating phases, and interpreted these in terms of bubble (I1) and Wigner crystal (I2) phases [23][24][25]. The data in Fig.…”

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confidence: 68%

Competition between a Fractional Quantum Hall Liquid and Bubble and Wigner Crystal Phases in the Third Landau Level

et al. 2004

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Magnetotransport measurements were performed in an ultrahigh mobility GaAs/AlGaAs quantum well of density approximately 3.0 x 10(11) cm(-2). The temperature dependence of the magnetoresistance Rxx was studied in detail in the vicinity of nu=9/2. In particular, we discovered new minima in Rxx at a filling factor nu approximately 41/5 and 44/5, but only at intermediate temperatures 80 approximately less than T approximately less than 120 mK. We interpret these as evidence for a fractional quantum Hall liquid forming in the N=2 Landau level and competing with bubble and Wigner crystal phases favored at lower temperatures. Our data suggest that a magnetically driven insulator-insulator quantum phase transition occurs between the bubble and Wigner crystal phases at T=0.

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“…Interestingly, the situation is dramatically different for systems that form hypercrystals, such as certain liquid crystal phases [4], quantum Hall effect bubble solids [5,6], or, as in this Letter, ''cluster crystals'' [7][8][9][10][11][12]. These unusual crystalline materials can have a number of particles per lattice site much larger than 1.…”

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confidence: 92%

Phase Coexistence of Cluster Crystals: Beyond the Gibbs Phase Rule

2007

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We report a study of the phase behavior of multiple-occupancy crystals through simulation. We argue that in order to reproduce the equilibrium behavior of such crystals, it is essential to treat the number of lattice sites as a constraining thermodynamic variable. The resulting free-energy calculations thus differ considerably from schemes used for single-occupancy lattices. Using our approach, we obtain the phase diagram and the bulk modulus for a generalized exponential model that forms cluster crystals at high densities. We compare the simulation results with existing theoretical predictions. We also identify two types of density fluctuations that can lead to two sound modes and evaluate the corresponding elastic constants.

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Publisher's Note: Evidence of a First-Order Phase Transition Between Wigner-Crystal and Bubble Phases of 2D Electrons in Higher Landau Levels [Phys. Rev. Lett.93, 176808 (2004)]

Cited by 16 publications

References 0 publications

Depinning transition of bubble phases in a high Landau level

Depinning transition of bubble phases in a high Landau level

Competition between a Fractional Quantum Hall Liquid and Bubble and Wigner Crystal Phases in the Third Landau Level

Phase Coexistence of Cluster Crystals: Beyond the Gibbs Phase Rule

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