Orientational Order and Depinning of the Disordered Electron Solid

Abstract

We study the ground state of two-dimensional classical electron solids under the influence of modulation-doped impurities by using a simulated annealing molecular dynamics method. By changing the setback distance as a parameter, we find that in the strong disorder limit the ground state configuration contains both isolated dislocations and disclinations, whereas in the weak disorder regime only dislocations are present. We show, via continuum elasticity theory, that the ground state of the lattice should be unstable against a proliferation of free disclinations above a critical dislocation density. Associated with this, the behavior of the threshold electric field as a function of the setback distance changes.

4 pages, RevTex3.0, uuencoded 1 postscript file for figures appended, UK-HAF-94002

Cited by in corpus (24)

• Realizing the $XY$ Hamiltonian in polariton simulators
• The Ginzburg-Landau Theory of Type II superconductors in magnetic field
• Moving Wigner Glasses and Smectics: Dynamics of Disordered Wigner Crystals
• Topological Defects, Orientational Order, and Depinning of the Electron Solid in a Random Potential
• Peak Effect and the Transition from Elastic to Plastic Depinning
• Observation of narrow-band noise accompanying the breakdown of insulating states in high Landau levels
• Phase Transitions in the Two-Dimensional XY Model with Random Phases: a Monte Carlo Study
• Moving crystal phases of a quantum Wigner solid in an ultra-high-quality 2D electron system
• Noise at the Wigner Glass Transition
• Wigner crystal states for the two-dimensional electron gas in a double quantum well system
• Does quasi-long-range order in the two-dimensional XY model really survive weak random phase fluctuations?
• Domain regime in two-dimensional disordered vortex matter
• Magnetic and glassy transitions in the square-lattice XY model with random phase shifts
• Correlated states of 2D electrons near the Landau level filling $\nu =1/7$
• Nonlinear Dynamics, Avalanches and Noise for Driven Wigner Crystals
• Quantum Correlated Interstitials and the Hall Resistivity of the Magnetically Induced Wigner Crystal
• Dynamic ordering transitions in charged solid
• Signatures of correlated defects in an ultra-clean Wigner crystal in the extreme quantum limit
• Quantum bubble defects in the lowest Landau level crystal
• Collective Dynamics and Defect Generation for Wigner Crystal Ratchets
• Heterogeneities and Topological Defects in Two-Dimensional Pinned Liquids
• Drive Dependence of the Hall Angle for a Sliding Wigner Crystal in a Magnetic Field
• Quasi-long-range order in the 2D XY model with random phase shifts
• Magnetic Field Effects and Transverse Ratchets in Charge Lattices Coupled to Asymmetric Substrates