Sliding motion of a two-dimensional Wigner crystal in a strong magnetic field

Abstract

We study the sliding state of a two-dimensional Wigner crystal in a strong magnetic field and a random impurity potential. Using a high-velocity perturbation theory, we compute the nonlinear conductivity, various correlation functions, and the interference effects arising in combined AC + DC electric effects, including the Shapiro anomaly and the linear response to an AC field. Disorder is found to induce mainly transverse distortions in the sliding state of the lattice. The Hall resistivity retains its classical value. We find that, within the large velocity perturbation theory, free carriers which affect the longitudinal phonon modes of the Wigner crystal do not change the form of the nonlinear conductivity. We compare the present sliding Wigner crystal in a strong magnetic field to the conventional sliding charge-density wave systems. Our result for the nonlinear conductivity agrees well with the $I-V$ characteristics measured in some experiments at low temperatures or large depinning fields, for the insulating phases near filling factor $\nu$ = 1/5. We summarize the available experimental data, and point out the differences among them.

appeared in RPB vol. 50, 4600 (1994); LaTex file; 3 figures available from [email protected]

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• Crossover between localized states and pinned Wigner crystal in high-mobility n-GaAs/AlGaAs heterostructures near filling factor $\nu =1$
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• Sliding Dynamics of Current-Driven Skyrmion Crystal and Helix in Chiral Magnets
• Low-frequency electromagnetic field in a Wigner crystal
• Topological Phase Transitions of Interacting Fermions in the Presence of a Commensurate Magnetic Flux
• Nonlinear transport of Wigner solid phase surrounding the two-flux composite fermion liquid