Results 31 to 40 of about 2,612,717 (366)
Recent advances in metasurface design and quantum optics applications with machine learning, physics-informed neural networks, and topology optimization methods [PDF]
Light: Science & Applications, 2023 As a two-dimensional planar material with low depth profile, a metasurface can generate non-classical phase distributions for the transmitted and reflected electromagnetic waves at its interface. Thus, it offers more flexibility to control the wave front.
Wenye Ji +6 more
semanticscholar +1 more source
Topological inference of manifolds with boundary
Computational Geometry, 2020 Given a set of data points sampled from some underlying space, there are two important challenges in geometric and topological data analysis when dealing with sampled data: reconstruction -- how to assemble discrete samples into global structures, and inference -- how to extract geometric and topological information from data that are high-dimensional,
Bei Wang, Yuan Wang
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Topological boundaries of covariant representations
MATHEMATICA SCANDINAVICA, 2023 We associate a boundary $\mathcal B_{\pi ,u}$ to each covariant representation $(\pi ,u,H)$ of a $C^*$-dynamical system $(G,A,\alpha )$ and study the action of $G$ on $\mathcal B_{\pi ,u}$ and its amenability properties. We relate rigidity properties of traces on the associated crossed product $C^*$-algebra to faithfulness of the action of the group on
Amini, Massoud, Zavar, Sajad
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Induced Topological Phases at the Boundary of 3D Topological Superconductors [PDF]
Physical Review Letters, 2015 We present tight-binding models of 3D topological superconductors in class DIII that support a variety of winding numbers. We show that gapless Majorana surface states emerge at their boundary in agreement with the bulk-boundary correspondence.
Peter E. Finch +3 more
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Liouvillian skin effect in an exactly solvable model
Physical Review Research, 2022 The interplay between dissipation, topology, and sensitivity to boundary conditions has recently attracted tremendous amounts of attention at the level of effective non-Hermitian descriptions.
Fan Yang +2 more
doaj +1 more source
A precise TIN clipping algorithm for the digital mining design of the opencast coal mine
PLoS ONE, 2023 The triangulated irregular network (TIN) clipping algorithm is one of the vital algorithms for the digital mining design of opencast coal mines based on the geological digital elevation model (DEM) described by TIN.
Jingchang Zhao +3 more
doaj +2 more sources
Grain-boundary topological phase transitions [PDF]
Proceedings of the National Academy of Sciences, 2020 Significance We reveal the existence of a topological phase transition (Kosterlitz–Thouless type) in grain boundaries (GBs)—important internal surfaces in crystalline materials. GB dynamics are controlled by the formation/migration of line defects (disconnections) with dislocation and step character. Below the GB KT transition, disconnections
Kongtao Chen +2 more
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Consistent boundary conditions for PDE filter regularization in topology optimization
Structural And Multidisciplinary Optimization, 2020 Design variables in density-based topology optimization are typically regularized using filtering techniques. In many cases, such as stress optimization, where details at the boundaries are crucially important, the filtering in the vicinity of the design
M. Wallin +3 more
semanticscholar +1 more source
Topological expansion and boundary conditions [PDF]
Journal of High Energy Physics, 2008 In this article, we compute the topological expansion of all possible mixed-traces in a hermitian two matrix model. In other words we give a recipe to compute the number of discrete surfaces of given genus, carrying an Ising model, and with all possible given boundary conditions.
Nicolas Orantin, Bertrand Eynard
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Twisted bulk-boundary correspondence of fragile topology [PDF]
Science, 2019 Understanding fragile topology Exploiting topological features in materials is being pursued as a route to build in robustness of particular properties.
Zhida Song, L. Elcoro, B. Bernevig
semanticscholar +1 more source