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Architected materials achieve unique mechanical properties through precisely engineered microstructures that minimize material usage. However, a key challenge of low-density materials is balancing high stiffness with stable deformability up…

Materials Science · Physics 2024-09-20 Matheus I. N. Rosa , Konstantinos Karapiperis , Kaoutar Radi , Dennis M. Kochmann

Topological phases of matter are ubiquitous in crystals, but less is known about their existence in amorphous systems, that lack long-range order. In this perspective, we review the recent progress made on theoretically defining amorphous…

Mesoscale and Nanoscale Physics · Physics 2023-03-30 Paul Corbae , Julia D. Hannukainen , Quentin Marsal , Daniel Muñoz-Segovia , Adolfo G. Grushin

Exploration of structure-property relationships as a function of dopant concentration is commonly based on mean field theories for solid solutions. However, such theories that work well for semiconductors tend to fail in materials with…

The plasticity of amorphous solids undergoing shear is characterized by quasi-localized rearrangements of particles. While many models of plasticity exist, the precise relationship between plastic dynamics and the structure of a particle's…

Soft Condensed Matter · Physics 2024-06-12 Jason W. Rocks , Sean A. Ridout , Andrea J. Liu

Amorphous solids are yield stress materials that flow when a sufficient load is applied. Their flow consists of periods of elastic loading interrupted by rapid stress drops, or avalanches, coming from microscopic rearrangements known as…

Disordered Systems and Neural Networks · Physics 2021-09-08 Daniel Korchinski , Céline Ruscher , Jörg Rottler

Hyperuniform states of matter are correlated systems that are characterized by an anomalous suppression of long-wavelength (i.e., large-length-scale) density fluctuations compared to those found in garden-variety disordered systems, such as…

Statistical Mechanics · Physics 2018-08-01 Salvatore Torquato

Self-assembly processes provide the means to achieve scalable and versatile metamaterials by "bottom-up" fabrication. Despite their enormous potential, especially as a platform for energy materials, self-assembled metamaterials are often…

Applied Physics · Physics 2023-03-09 Jelena Wohlwend , Georg Haberfehlner , Henning Galinski

Plastic yield of amorphous solids occurs by power law distributed slip avalanches whose universality is still debated. Determination of the power law exponents from experiments and molecular dynamics simulations is hampered by limited…

Modeling semicoherent metal-metal interfaces has so far been performed using atomistic simulations based on semiempirical interatomic potentials. We demonstrate through more precise ab-initio calculations that key conclusions drawn from…

Materials Science · Physics 2014-12-31 Erki Metsanurk , Alfredo Caro , Artur Tamm , Alvo Aabloo , Mattias Klintenberg

In the past two decades, extensive research has been conducted on the (co)homology of various models of random simplicial complexes. So far, it has always been examined merely as a list of groups. This paper expands upon this by describing…

Algebraic Topology · Mathematics 2024-08-21 Jon V. Kogan

Topological semimetals, such as the Weyl and Dirac semimetals, represent one of the most active research fields in modern condensed matter physics. The peculiar physical properties of these systems mainly originate from their underlying…

Mesoscale and Nanoscale Physics · Physics 2024-05-09 Yu-Ping Lin , Giandomenico Palumbo

Collective behavior is studied in globally coupled maps. Several coherent motions exist, even in fully desynchronized state. To characterize the collective behavior, we introduce scaling transformation of parameter, and detect the…

chao-dyn · Physics 2009-10-31 Tatsuo Shibata , Kunihiko Kaneko

Local positional disorder in soft, anharmonic materials has emerged as a central factor in shaping their electronic, vibrational, optical, and transport properties. Viewed mainly as a source of performance degradation, recent theoretical…

Materials Science · Physics 2025-10-24 Marios Zacharias , Jacky Even

In chiral crystals crystalline symmetries can protect multifold fermions, pseudo-relativistic masless quasiparticles that have no high-energy counterparts. Their realization in transition metal monosilicides has exemplified their intriguing…

Mesoscale and Nanoscale Physics · Physics 2024-03-15 Selma Franca , Adolfo G. Grushin

Topological defects (TDs) are crucial for understanding important physical properties of crystalline materials including mechanical failure, ion transport, and two-dimensional melting. This concept has not translated to disordered materials…

Materials Science · Physics 2026-04-09 Matteo Baggioli , Michael L. Falk , Walter Kob

Many real-world complex networks contain a significant amount of structural redundancy, in which multiple vertices play identical topological roles. Such redundancy arises naturally from the simple growth processes which form and shape many…

Physics and Society · Physics 2020-08-05 Ben D. MacArthur , Rubén J. Sánchez-García

The topological structures of the Internet and the Web have received considerable attention. However, there has been little research on the topological properties of individual web sites. In this paper, we consider whether web sites (as…

Information Retrieval · Computer Science 2016-11-17 Shi Zhou , Ingemar Cox , Vaclav Petricek

Many materials crystallize in structure types that feature a square-net of atoms. While these compounds can exhibit many different properties, some members of this family are topological materials. Within the square-net-based topological…

Materials Science · Physics 2019-08-16 Sebastian Klemenz , Shiming Lei , Leslie M. Schoop

Amorphous materials are integral part of todays technology, they commonly are performant and versatile in integration. Consequently, future applications increasingly aim to harvest the potential of the amorphous state. Establishing its…

We review recent theoretical progress in the understanding and prediction of novel topological semimetals. Topological semimetals define a class of gapless electronic phases exhibiting topologically stable crossings of energy bands.…

Mesoscale and Nanoscale Physics · Physics 2019-09-04 Heng Gao , Jörn W. F. Venderbos , Youngkuk Kim , Andrew M. Rappe