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   Articles with "winding number" as a keyword



Energy minimisers of prescribed winding number in an S1-valued nonlocal Allen-Cahn type model

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recommendations! Published in 2019 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2019.106819

Abstract: Abstract We study a variational model for transition layers with an underlying functional that combines an Allen-Cahn type structure with an additional nonlocal interaction term. A transition layer is represented by a map from R… read more here.

Keywords: prescribed winding; cahn type; model; allen cahn ... See more keywords

An Extension to Winding Number and Point-in-Polygon Algorithm

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recommendations! Published in 2018 at "IFAC-PapersOnLine"

DOI: 10.1016/j.ifacol.2018.05.092

Abstract: Abstract This work is an extension of an axis-crossing algorithm to compute winding number for solving point in polygon for an arbitary polygon. Polygons are popular drawings in computer graphics to represent different types of… read more here.

Keywords: number; number point; winding number; point polygon ... See more keywords

Topological subspace-induced multifold topological phase transitions and large winding number in heterostructures

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recommendations! Published in 2025 at "Applied Physics Letters"

DOI: 10.1063/5.0283673

Abstract: Large winding number as the unique characteristics of topological phenomena has been garnering widespread interest owing to its rich physics and potential applications in enhanced information capacity. In this work, we report the realization of… read more here.

Keywords: phase transitions; topological phase; winding number; large winding ... See more keywords

Emergent multiloop nested point gap in a non-Hermitian quasiperiodic lattice

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recommendations! Published in 2024 at "Physical Review B"

DOI: 10.1103/physrevb.111.104204

Abstract: We propose a geometric series modulated non-Hermitian quasiperiodic lattice model, and explore its localization and topological properties. The results show that with the ever-increasing summation terms of the geometric series, multiple mobility edges and non-Hermitian… read more here.

Keywords: winding number; quasiperiodic lattice; point; hermitian quasiperiodic ... See more keywords

Measuring the Winding Number in a Large-Scale Chiral Quantum Walk.

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recommendations! Published in 2018 at "Physical review letters"

DOI: 10.1103/physrevlett.120.260501

Abstract: We report the experimental measurement of the winding number in an unitary chiral quantum walk. Fundamentally, the spin-orbit coupling in discrete time quantum walks is implemented via a birefringent crystal collinearly cut based on a… read more here.

Keywords: quantum walk; quantum; chiral quantum; winding number ... See more keywords