Dynamical properties of the pinned Wigner crystal

Abstract

We study various dynamical properties of the weakly pinned Wigner crystal in a high magnetic field. Using a Gaussian variational method we can compute the full frequency and field dependence of the real and imaginary parts of the diagonal and Hall conductivities. The zero temperature Hall resistivity is independent of frequency and remains unaffected by disorder at its classical value. We show that, depending on the inherent length scales of the system, the pinning peak and the threshold electric field exhibit strikingly different magnetic field dependences.

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• Competing Crystal Phases in the Lowest Landau Level
• Observation of pinning mode in Wigner solid of 1/3 fractional quantum Hall excitations
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• Dislocations and Bragg glasses in two dimensions
• Observation of pinning mode of stripe phases of 2D systems in high Landau levels
• Skyrme and Wigner crystals in graphene
• Theory of the collective magnetophonon resonance and melting of the field-induced Wigner solid
• Moving crystal phases of a quantum Wigner solid in an ultra-high-quality 2D electron system
• Zero field Wigner crystal
• Pinning mode resonances of 2D electron stripe phases: Effect of in-plane magnetic field
• Microwave spectroscopy of a weakly-pinned charge density wave in a superinductor
• Dynamic Compressibility and aging in Wigner crystals and quantum glasses
• Depinning transition of charge-density waves: mapping onto $O(n)$ symmetric ${\varphi }^4$ theory with $n\to -2$ and loop-erased random walks
• The Quantum Hall Effect in the Absence of Disorder
• Pinning modes and interlayer correlation in high magnetic field bilayer Wigner solids
• Disordered periodic systems at the upper critical dimension
• Electron-solid and electron-liquid phases in graphene
• Competition between fractional quantum Hall liquid and electron solid phases in the Landau levels of multilayer graphene
• Unequal Layer Densities in Bilayer Wigner Crystal at High Magnetic Field
• Sliding conduction by the quasi one-dimensional charge-ordered state in Sr${}_{14-x}$Ca${}_x$Cu${}_{24}$O${}_{41}$
• Pinning modes of high magnetic field Wigner solids with controlled alloy disorder
• Signatures of correlated defects in an ultra-clean Wigner crystal in the extreme quantum limit
• Replica study of pinned bubble crystals
• Quantum Depinning Transition of Quantum Hall Stripes
• Electromagnetic absorption of a pinned Wigner crystal at finite temperatures
• Local noise spectroscopy of Wigner crystals in two-dimensional materials
• Drive Dependence of the Hall Angle for a Sliding Wigner Crystal in a Magnetic Field
• Dynamical Conductivity of Disordered Quantum Hall Stripes
• Berry Phase Dynamics of Sliding Electron Crystals
• Dynamics of disordered quantum Hall crystals
• Disordered Quantum smectics
• Splitting of roton minimum in the ν=5/2 Moore-Read state
• Transmission of waves through a pinned elastic medium
• Transport in a Nearly Periodic Potential with a Magnetic Field
• Superfluid - Bose glass transition in two dimensions at T = 0: analytic solution of a mode-coupling toy model
• Coulombian Disorder in Periodic Systems