Hyperuniform monocrystalline structures by spinodal solid-state dewetting

Abstract

Materials featuring anomalous suppression of density fluctuations over large length scales are emerging systems known as disordered hyperuniform. The underlying hidden order renders them appealing for several applications, such as light management and topologically protected electronic states. These applications require scalable fabrication, which is hard to achieve with available top-down approaches. Theoretically, it is known that spinodal decomposition can lead to disordered hyperuniform architectures. Spontaneous formation of stable patterns could thus be a viable path for the bottom-up fabrication of these materials. Here we show that mono-crystalline semiconductor-based structures, in particular Si${}_{1-x}$Ge${}_x$ layers deposited on silicon-on-insulator substrates, can undergo spinodal solid-state dewetting featuring correlated disorder with an effective hyperuniform character. Nano- to micro-metric sized structures targeting specific morphologies and hyperuniform character can be obtained, proving the generality of the approach and paving the way for technological applications of disordered hyperuniform metamaterials. Phase-field simulations explain the underlying non-linear dynamics and the physical origin of the emerging patterns.

6 pages, 3 figures, supplementary information (7 pages) enclosed

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• Anisotropic suppression of hyperuniformity of elastic systems in media with planar disorder
• A diffuse-interface approach for solid-state dewetting with anisotropic surface energies
• Non-equilibrium dynamic hyperuniform states
• Persistent homology and topological statistics of hyperuniform point clouds
• Hyperuniformity and conservation laws in non-equilibrium systems
• Doubly Degenerate Diffuse Interface Models of Anisotropic Surface Diffusion
• Hyperuniformity in mass transport processes with center-of-mass conservation: Some exact results
• Inferring traits of hyperuniformity from local structures via persistent homology
• Anti-hyperuniform diluted vortex matter induced by correlated disorder
• Theoretical Basis for Classifying Hyperuniform States of Two-Component Systems
• Phase-field Modelling of Anisotropic Solid-State Dewetting on Patterned Substrates
• Germanium-based nearly hyperuniform nanoarchitectures by ion beam impact
• Spectral Leakage and Masking Effects in the Measurement of Hyperuniformity