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Fundamental Bound on Topological Gap
Published 2024“…We provide a universal tight bound on the energy gap of topological insulators by exploring relationships between topology, quantum geometry, and optical absorption. …”
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The topology of shapes made with points
Published 2024“…This paper examines the kind of topology that is applicable to such shapes. From a mathematical standpoint, any “shape made with points” is equivalent to a finite space, so that topology on a shape made with points is no different than topology on a finite space: the study of topological structure naturally coincides with the study of preorder relations on the points of the shape. …”
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Semilinear (topological) spaces and applications
Published 2009Subjects: “…Topological spaces.…”
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Working Paper -
170
Is a color superconductor topological?
Published 2010“…A fully gapped state of matter, whether insulator or superconductor, can be asked if it is topologically trivial or nontrivial. Here we investigate topological properties of superconducting Dirac fermions in 3D having a color superconductor as an application. …”
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Diffusion of Innovations on Deterministic Topologies
Published 2011“…We investigate several interesting topologies, and utilize coherent set argument to determine the behavior of the process on these topologies.…”
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Boundary degeneracy of topological order
Published 2015“…We introduce the concept of boundary degeneracy, as the ground state degeneracy of topologically ordered states on a compact orientable spatial manifold with gapped boundaries. …”
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Flexible photonic topological insulator
Published 2019Subjects: “…Photonic Topological Insulators…”
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Journal Article -
178
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Geometry and topology of microscopic ribbons
Published 2022“…For a contour length that far exceeds the thickness or diameter of a chain, the geometrical and topological configurations can be described by simplified models. …”
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Final Year Project (FYP) -
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