Results 11 to 20 of about 352,256 (283)
Boundary topological superconductors [PDF]
Physical Review B, 2021 For strongly anisotropic time-reversal invariant (TRI) insulators in two and three dimensions, the band inversion can occur respectively at all TRI momenta of a high symmetry axis and plane. Although these classes of materials are topologically trivial as the strong and weak $Z_{2}$ indices are all trivial, they can host an even number of unprotected ...
Bo-Xuan Li, Zhongbo Yan
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Automatic learning of topological phase boundaries [PDF]
Physical Review E, 2021 Topological phase transitions, which do not adhere to Landau's phenomenological model (i.e. a spontaneous symmetry breaking process and vanishing local order parameters) have been actively researched in condensed matter physics. Machine learning of topological phase transitions has generally proved difficult due to the global nature of the topological ...
Kerr, Alexander +3 more
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Boundary-obstructed topological phases [PDF]
Physical Review Research, 2021 30 pages, 21 ...
Eslam Khalaf +3 more
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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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Topological Boundaries of Unitary Representations [PDF]
International Mathematics Research Notices, 2020 AbstractWe introduce and study a generalization of the notion of the Furstenberg boundary of a discrete group $\Gamma $ to the setting of a general unitary representation $\pi : \Gamma \to B(\mathcal H_\pi )$. This space, which we call the “Furstenberg–Hamana boundary” (or "FH-boundary") of the pair $(\Gamma , \pi )$, is a $\Gamma $-invariant subspace ...
Bearden, Alex, Kalantar, Mehrdad
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Boundaries & localisation with a topological twist
Journal of High Energy Physics, 2023 Abstract We study the partition functions of topologically twisted 3d $$ \mathcal{N} $$ N = 2 gauge theories on a hemisphere spacetime with boundary HS2 × S1. We show that the partition function may be localised to either the Higgs branch or the Coulomb branch where the contributions to the path ...
Crew, Samuel, Zhang, Daniel, Zhao, Boan
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Grain-boundary topological superconductor
Communications Physics, 2023 AbstractMajorana zero modes (MZMs) are of central importance for modern condensed matter physics and quantum information due to their non-Abelian nature, which thereby offers the possibility of realizing topological quantum bits. We here show that a grain boundary (GB) defect can host a topological superconductor (SC), with a pair of cohabitating MZMs ...
Morten Amundsen, Vladimir Juričić
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Non-Hermitian Boundary Modes and Topology [PDF]
Physical Review Letters, 2020 We consider conditions for the existence of boundary modes in non-Hermitian systems with edges of arbitrary codimension. Through a universal formulation of formation criteria for boundary modes in terms of local Green's functions, we outline a generic perspective on the appearance of such modes and generate corresponding dispersion relations.
Borgnia, Dan S. +2 more
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Topological boundary modes in jammed matter [PDF]
Soft Matter, 2016 Granular matter at the jamming transition is poised on the brink of mechanical stability, and hence it is possible that these random systems have topologically protected surface phonons. Studying two model systems for jammed matter, we find states that exhibit distinct mechanical topological classes, protected surface modes, and ubiquitous Weyl points.
Sussman, Daniel M. +2 more
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La nuit pensée et vécue comme une frontière quasi topologique
Ateliers d'Anthropologie, 2020 The notions “night”, “day”, “sunset”, “sunrise”, “dawn” and “dusk” have meanings that are not independent, since they are part of frameworks structured by a quasi-topology, which is an extension of the general topology.
Jean-Pierre Desclés
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