Nearly hyperuniform, nonhyperuniform, and antihyperuniform density fluctuations in two-dimensional transition metal dichalcogenides with defects

Abstract

Hyperuniform many-body systems in $d$-dimensional Euclidean space are characterized by completely suppressed (normalized) infinite-wavelength density fluctuations, and appear to be endowed with novel exotic physical properties. In this work, we analyze the effects of localized defects on the density fluctuations across length scales and on the hyperuniformity property of experimental samples of two-dimensional transition metal dichalcogenides. In particular, we extract atomic coordinates from time series annular dark field-scanning transmission electron microscopy imaging data of 2D tungsten chalcogenides with the 2H structure showing continuous development and evolution of electron-beam induced defects, and construct the corresponding chemical-bonding informed coordination networks between the atoms. We then compute a variety of pair statistics and bond-orientational statistics to characterize the samples. At low defect concentrations, the corresponding materials are nearly hyperuniform. As more defects are introduced, the (approximate) hyperuniformity of the materials is gradually destroyed, and the system becomes non-hyperuniform even when the material still contains a significant amount of crystalline regions. At high defect concentrations, the structures become antihyperuniform with diverging (normalized) large-scale density fluctuations. Overall, the defected materials possess varying degrees of orientation order, and there is apparently no intermediate hexatic phase emerging. We also construct a minimalist structural model and demonstrate that the experimental samples can be essentially viewed as perturbed honeycomb crystals with small correlated displacements and double chalcogen vacancies.

References in corpus (39)

• Local Density Fluctuations, Hyperuniformity, and Order Metrics
• Designer disordered materials with large complete photonic band gaps
• Hyperuniform States of Matter
• Unexpected Density Fluctuations in Jammed Disordered Sphere Packings
• Avian photoreceptor patterns represent a disordered hyperuniform solution to a multiscale packing problem
• Isotropic Band Gaps and Freeform Waveguides Observed in Hyperuniform Disordered Photonic Solids
• Hyperuniformity of critical absorbing states
• Hyperuniformity in point patterns and two-phase random heterogeneous media
• Classical Disordered Ground States: Super-Ideal Gases, and Stealth and Equi-Luminous Materials
• Non-Equilibrium Strongly Hyperuniform Fluids of Circle Active Particles with Large Local Density Fluctuations
• Hyperuniform long-range correlations are a signature of disordered jammed hard-particle packings
• The Glass-like Universe: Real-space correlation properties of standard cosmological models
• Ensemble Theory for Stealthy Hyperuniform Disordered Ground States
• Deep Learning Enabled Strain Mapping of Single-Atom Defects in 2D Transition Metal Dichalcogenides with Sub-picometer Precision
• Hydrodynamics of Random-Organizing Hyperuniform Fluids
• Diagnosing hyperuniformity in two-dimensional disordered jammed-packings of soft spheres
• Designing Disordered Hyperuniform Two-Phase Materials with Novel Physical Properties
• Noise, diffusion, and hyperuniformity
• Transport, Geometrical and Topological Properties of Stealthy Disordered Hyperuniform Two-Phase Systems
• Hyperuniform disordered phononic structures
• Ultrafast jamming of electrons into an amorphous entangled state
• Ground states of stealthy hyperuniform potentials: I. Entropically favored configurations
• Point processes and stochastic displacement fields
• Stone-Wales Defects Preserve Hyperuniformity in Amorphous Two-Dimensional Materials
• Disordered Hyperuniform Heterogeneous Materials
• Anomalous local coordination, density fluctuations, and void statistics in disordered hyperuniform many-particle ground states
• Large-scale structure and hyperuniformity of amorphous ices
• Equilibrium Phase Behavior and Maximally Random Jammed State of Truncated Tetrahedra
• Simulation of melting of two dimensional Lennard-Jones solids
• Cloaking the Underlying Long-Range Order of Randomly Perturbed Lattices
• Voronoi and Voids Statistics for Super-homogeneous Point Processes
• Hyperuniform vortex patterns at the surface of type-II superconductors
• New Tessellation-Based Procedure to Design Perfectly Hyperuniform Disordered Dispersions for Materials Discovery
• Mixing by Unstirring: Hyperuniform Dispersion of Interacting Particles upon Chaotic Advection
• Methodology to Construct Large Realizations of Perfectly Hyperuniform Disordered Packings
• Unveiling the vortex glass phase in the surface and volume of a type-II superconductor
• Characterization of Maximally Random Jammed Sphere Packings. III. Transport and Electromagnetic Properties via Correlation Functions
• Structural characterization and statistical-mechanical model of epidermal patterns
• Non-Gaussian tail in the force distribution: A hallmark of correlated disorder in the host media of elastic objects

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• Spectral Leakage and Masking Effects in the Measurement of Hyperuniformity
• Hyperuniform patterns nucleated at low temperatures: Insight from vortex matter imaged in unprecedentedly large fields-of-view