Zero field Wigner crystal
arXiv:cond-mat/0409187 · doi:10.1140/epjb/e2005-00145-0
Abstract
A candidate for the insulating phase of the 2D electron gas, seen in high mobility 2D MOSFETS and heterojunctions, is a Wigner crystal pinned by the incipient disorder. With this in view, we study the effect of collective pinning on the physical properties of the crystal formed in zero external magnetic field. We use an elastic theory to describe to long wavelength modes of the crystal. The disorder is treated using the standard Gaussian variational method. We calculate various physical properties of the system with particular emphasis on their density dependence. We revisit the problem of compressibility in this system and present results for the compressibility obtained via effective capacitance measurements in experiments using bilayers. We present results for the dynamical conductivity, surface acoustic wave anomalies and the power radiated by the crystal through phonon emission at finite temperatures.
14 pages, 4 figures
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Cited by in corpus (19)
- Electronic crystals: an experimental overview
- Signatures of bilayer Wigner crystals in a transition metal dichalcogenide heterostructure
- Observation of Wigner crystal of electrons in a monolayer semiconductor
- Generalized Wigner crystallization in moiré materials
- Transport evidence for a sliding two-dimensional quantum electron solid
- Recent developments in the field of the metal-insulator transition in two dimensions
- Flat bands and long range Coulomb interactions: conducting or insulating?
- Metal-insulator transition and low-density phases in a strongly-interacting two-dimensional electron system
- Dynamic Compressibility and aging in Wigner crystals and quantum glasses
- Evidence of gate-tunable topological excitations in two-dimensional electron systems
- Distribution of velocities and acceleration for a particle in Brownian correlated disorder: inertial case
- Local noise spectroscopy of Wigner crystals in two-dimensional materials
- Collective depinning and sliding of a quantum Wigner solid in a 2D electron system
- Chiral Wigner crystal phases induced by Berry curvature
- Exact longitudinal plasmon dispersion relations for one and two dimensional Wigner crystals
- Statistical, Collective and Critical Phenomena of Classical 1D Disordered Wigner Lattices
- Coulombian Disorder in Periodic Systems
- Theory of cross quantum capacitance
- Defects in Wigner crystals: fracton-elasticity duality and vacancy proliferation