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Correlation lengths of Wigner crystal order in two dimensional electron system at high magnetic field

P. D. Ye·L. W. Engel·D. C. Tsui·R. M. Lewis·L. N. Pfeiffer·K. West
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Abstract

The insulator terminating the fractional quantum Hall series at low Landau level filling νis generally taken to be a pinned Wigner crystal (WC), and exhibits a microwave resonance that is interpreted as a WC pinning mode. Systematically studying the resonance in a high quality sample for carrier densities, n, between 1.8 and 5.7 x 10^{10} cm^-2, we find maxima in resonance peak frequency, f_pk, vs magnetic field, B. L, the domain size, or correlation length of Wigner crystalline order, is calculated from f_pk. For each n, L vs νtends at low νtoward a straight line with intercept; the linear fit is accurate over as much as a factor of 5 range of ν. We interpret the striking linear behavior as due to B compressing the electron wavefunctions, to alter the effective electron-impurity interaction.

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P. D. Ye, L. W. Engel, D. C. Tsui, R. M. Lewis, L. N. Pfeiffer, K. West. 2002-04-03. Correlation lengths of Wigner crystal order in two dimensional electron system at high magnetic field. https://doi.org/10.1103/physrevlett.89.176802

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