Antiferromagnetic hedgehogs with superconducting cores
Paul M. Goldbart, Daniel E. Sheehy (University of Illinois at, Urbana-Champaign)

TL;DR
This paper explores a novel type of excitation in high-temperature superconductors, where antiferromagnetic hedgehogs develop superconducting cores, revealing new insights into the interplay between magnetism and superconductivity.
Contribution
It introduces and analyzes antiferromagnetic hedgehogs with superconducting cores within Zhang's SO(5) framework, a novel concept in high-temperature superconductor physics.
Findings
Identifies nonsingular hedgehog-like excitations with superconducting cores.
Determines the structure of these excitations in a simplified model.
Examines potential experimental signatures of these textures.
Abstract
Excitations of the antiferromagnetic state that resemble antiferromagnetic hedgehogs at large distances but are predominantly superconducting inside a core region are discussed within the context of Zhang's SO(5)-symmetry-based approach to the physics of high-temperature superconducting materials. Nonsingular, in contrast with their hedgehog cousins in pure antiferromagnetism, these texture excitations are what hedgehogs become when the antiferromagnetic order parameter is permitted to "escape" into superconducting directions. The structure of such excitations is determined in a simple setting, and a number of their experimental implications are examined.
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