Global Mie Scattering: Polarization Morphologies and the Underlying Topological Invariant
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DOI: 10.1021/acsomega.0c01843
Abstract: In various subdisciplines of optics and photonics, Mie theory has been serving as a fundamental language and playing indispensable roles widely. Conventional studies related to Mie scattering largely focus on local properties such as differential… read more here.
Keywords: mie scattering; topological invariant; polarization; mie ... See more keywords
Compound Topological Invariant Based Method for Detecting Isomorphism in Planar Kinematic Chains
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DOI: 10.1115/1.4046840
Abstract: An important step in the structural synthesis of kinematic chains (KCs) or mechanisms is the detection of isomorphic structures. Although many detection methods have been proposed, most of them require complex computations and have poor… read more here.
Keywords: planar; topological invariant; compound topological; method ... See more keywords
Hall Conductivity as the Topological Invariant in the Phase Space in the Presence of Interactions and a Nonuniform Magnetic Field
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DOI: 10.1134/s0021364019190020
Abstract: The quantum Hall conductivity in the presence of constant magnetic field may be represented as the topological TKNN invariant. Recently the generalization of this expression has been proposed for the non - uniform magnetic field.… read more here.
Keywords: presence; hall conductivity; magnetic field; topological invariant ... See more keywords
Topological Invariant Prediction via Deep Learning
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DOI: 10.3938/jkps.76.401
Abstract: Using a deep neural network model, we show that predicting an accurate topological invariant is possible from one-dimensional Hamiltonians, whose topological invariant is the winding number. Given a set of Hamiltonians in momentum space as… read more here.
Keywords: deep neural; topological invariant; invariant prediction; invariant ... See more keywords