Stone–Wales defects preserve hyperuniformity in amorphous two-dimensional networks

Chen, Duyu; Zheng, Yu; Liu, Lei; Zhang, G.; Chen, Mohan; Jiao, Yang

doi:10.1073/pnas.2016862118

Cited by 37 publications

(30 citation statements)

References 82 publications

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“…[19][20][21][22]. It is also possible to promote the rearrangement of atoms by utilizing methods like radiation [23][24][25][26][27], electric/magnetic fields [28] and heating [29]. The superposition of several of the mentioned methods and their effect on inter-atomic interaction also has been explored.…”

Section: Introductionmentioning

confidence: 99%

Self-assembly of two-dimensional, amorphous materials on a liquid substrate

Schwarcz,

Burov

2021

Preprint

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Recent experimental utilization of liquid substrate in the production of two-dimensional crystals, such as graphene, together with a general interest in amorphous materials, raises the following question: is it beneficial to use a liquid substrate to optimize amorphous material production? Inspired by epitaxial growth, we use a two-dimensional coarse-grained model of interacting particles to show that introducing a motion for the substrate atoms improves the self-assembly process of particles that move on top of the substrate. We find that a specific amount of substrate liquidity (for a given sample temperature) is needed to achieve optimal self-assembly. Our results illustrate the opportunities that the combination of different degrees of freedom provides to the self-assembly processes.

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Section: Introductionmentioning

confidence: 99%

Self-assembly of two-dimensional, amorphous materials on a liquid substrate

Schwarcz,

Burov

2021

Preprint

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“…Hyperuniformity is an emerging field, playing vital roles in a number of fundamental and applied contexts, including glass formation [19,20], jamming [21][22][23][24][25], rigidity [26,27], bandgap structures [28][29][30], biology [31,32], localization of waves and excitations [33][34][35], self-organization [36][37][38], fluid dynamics [39,40], quantum systems [41][42][43][44][45], random matrices [43,46,47] and pure mathematics [48][49][50][51][52]. Because disordered hyperuniform two-phase media are states of matter that lie between a crystal and a typical liquid, they can be endowed with novel properties [12,18,[53][54][55][56][57][58][59][60][61][62][63]…”

Section: Introductionmentioning

confidence: 99%

Dynamic Measure of Hyperuniformity and Nonhyperuniformity in Heterogeneous Media via the Diffusion Spreadability

Wang,

Torquato

2021

Preprint

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Time-dependent interphase diffusion processes in multiphase heterogeneous media arise ubiquitously in physics, chemistry and biology. Examples of heterogeneous media include composites, geological media, gels, foams and cell aggregates. The recently developed concept of spreadability, S(t), provides a direct link between time-dependent diffusive transport and the microstructure of two-phase media across length scales [Torquato, S., Phys. Rev. E., 104 054102 (2021)]. To investigate the capability of S(t) to probe microstructures of real heterogeneous media, we explicitly compute S(t) for well-known two-dimensional and three-dimensional idealized model structures that span across nonhyperuniform and hyperuniform classes. Among the former class, we study fully penetrable spheres and equilibrium hard spheres, and in the latter class, we examine sphere packings derived from "perfect glasses", uniformly randomized lattices (URL), disordered stealthy hyperuniform point processes and Bravais lattices. Hyperuniform media are characterized by an anomalous suppression of volume fraction fluctuations at large length scales compared to that of any nonhyperuniform medium. We further confirm that the small-, intermediate-and long-time behaviors of S(t) sensitively capture the small-, intermediate-and large-scale characteristics of the models. In instances in which the spectral density χV (k) has a power-law form B|k| α in the limit |k| → 0, the long-time spreadability provides a simple means to extract the value of the coefficients α and B that is robust against noise in χV (k) at small wavenumbers. For typical nonhyperuniform media, the intermediate-time spreadability is slower for models with larger values of the coefficient B = χV (0). Interestingly, the excess spreadability S(∞) − S(t) for URL packings has nearly exponential decay at small to intermediate t, but transforms to a power-law decay at large t, and the time for this transition has a logarithmic divergence in the limit of vanishing lattice perturbation. Our study of the aforementioned models enables us to devise an algorithm that efficiently and accurately extracts large-scale behaviors from diffusion data alone. Lessons learned from such analyses of our models are used to determine accurately the large-scale structural characteristics of a sample Fontainebleau sandstone, which we show is nonhyperuniform. Our study demonstrates the practical applicability of the diffusion spreadability to extract crucial microstructural information from real data across length scales and provides a basis for the inverse design of materials with desirable time-dependent diffusion properties.

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“…Moreover, certain disordered hyperuniform patterns have superior color-sensing capabilities, as demonstrated by avian photoreceptors [26]. Recent evidences also suggest that adding disorder into crystalline low-dimensional materials in a hyperuniform manner through the introduction of topological defects may enhance electronic transport in such materials [40][41][42], which is complementary to the conventional wisdom of the landmark "Anderson localization" [43] that disorder generally diminishes electronic transport.…”

Section: Introductionmentioning

confidence: 99%

“…In particular, we consider a representative class of disordered inherent structures in two-dimensional Euclidean space R 2 which can be viewed as defected states of perfect triangular lattice crystal [49,50] obtained by continuously introducing topological defects such as bound dislocations, free dislocations, and disclinations that are the key elements in the Kosterlitz-Thouless-Halperin-Nelson-Young (KTHNY) two-stage melting theory in two dimensions [51][52][53]. These defects are also commonly seen in 2D colloidal systems [54,55] and 2D semiconductors [40,41] and play an important role in determining the physical properties of such materials.…”

Section: Introductionmentioning

confidence: 99%

Topological Defects, Inherent Structures, and Hyperuniformity

Chen,

Zheng,

Jiao

2021

Preprint

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Disordered hyperuniform systems are exotic states of matter that completely suppress large-scale density fluctuations like crystals, and yet possess no Bragg peaks similar to liquids or glasses. Such systems have been discovered in a variety of equilibrium and non-equilibrium physical and biological systems, and are often endowed with novel physical properties. While it is well known that long-range interactions are necessary to sustain hyperuniformity in thermal equilibrium at positive temperatures, such condition is not required for the realization of disordered hyperuniformity in systems out of equilibrium. However, the mechanisms associated with the emergence of disordered hyperuniformity in nonequilibrium systems, in particular inherent structures (i.e., local potentialenergy minima) are often not well understood, which we will address from a topological perspective in this work. Specifically, we consider a representative class of disordered inherent structures which are constructed by continuously introducing randomly distributed topological defects (dislocations and disclinations) often seen in colloidal systems and atomic-scale two-dimensional materials. We demonstrate that these inherent structures can be viewed as topological variants of ordered hyperuniform states (such as crystals) linked through continuous topological transformation pathways, which remarkably preserve hyperuniformity. Moreover, we develop a continuum theory to demonstrate that the large-scale density fluctuations in these inherent structures are mainly dominated by the elastic displacement fields resulted from the topological defects, which at low defect concentrations can be approximated as superposition of the displacement fields associated with each individual defect (strain source). We find that hyperuniformity is preserved as long as the displacement fields generated by each individual defect decay sufficiently fast from the source (i.e., the volume integrals of the displacements and squared displacements caused by individual defect are finite) and the displacement-displacement correlation matrix of the system is diagonalized and isotropic. Our results also highlight the importance of decoupling the positional degrees of freedom from the vibrational degrees of freedom when looking for disordered hyperuniformity, since the hyperuniformity property is often cloaked by thermal fluctuations (i.e., vibrational degrees of freedom).

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Stone–Wales defects preserve hyperuniformity in amorphous two-dimensional networks

Cited by 37 publications

References 82 publications

Self-assembly of two-dimensional, amorphous materials on a liquid substrate

Self-assembly of two-dimensional, amorphous materials on a liquid substrate

Dynamic Measure of Hyperuniformity and Nonhyperuniformity in Heterogeneous Media via the Diffusion Spreadability

Topological Defects, Inherent Structures, and Hyperuniformity

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