Entanglement of Vortices in the Ginzburg–Landau Equations for Superconductors

In 1988, Nelson proposed that neighboring vortex lines in high-temperature superconductors may become entangled with each other. In this article we construct solutions to the Ginzburg–Landau equations which indeed have this property, as they exhibit entangled vortex lines of arbitrary topological co...

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Bibliographic Details
Authors: Enciso, A., Peralta-Salas, D.
Format: article
Status:Published version
Publication Date:2024
Country:España
Institution:Consejo Superior de Investigaciones Científicas (CSIC)
Repository:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/380670
Online Access:http://hdl.handle.net/10261/380670
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85196514818&doi=10.1007%2fs00220-024-05057-9&partnerID=40&md5=11a9b33db5be22b90474da3353195141
Access Level:Open access
Description
Summary:In 1988, Nelson proposed that neighboring vortex lines in high-temperature superconductors may become entangled with each other. In this article we construct solutions to the Ginzburg–Landau equations which indeed have this property, as they exhibit entangled vortex lines of arbitrary topological complexity. © The Author(s) 2024.