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1. Magnetic monopole noise

   https://doi.org/10.1038/s41586-019-1358-1  

   Dusad, Ritika; Kirschner, Franziska K.; Hoke, Jesse C.; Roberts, Benjamin R.; Eyal, Anna; Flicker, Felix; Luke, Graeme M.; Blundell, Stephen J.; Davis, J. C. (July 2019, Nature)
2. Designing phase sensitive probes of monopole superconducting order

   https://doi.org/10.1103/PhysRevResearch.6.043189  

   Frazier, Grayson R; Zhang, Junjia; Zhang, Junyi; Sun, Xinyu; Li, Yi (November 2024, Physical Review Research)

   Distinct from familiar $s$-, $p$-, or $d$-wave pairings, the monopole superconducting order represents a novel class of pairing order arising from nontrivial monopole charge of the Cooper pair. In the weak-coupling regime, this order can emerge when pairing occurs between Fermi surfaces with different Chern numbers in, for example, doped Weyl semimetal systems. However, the phase of monopole pairing order is not well-defined over an entire Fermi surface, making it challenging to design experiments sensitive to both its symmetry and topology. To address this, we propose a scheme based on symmetry and topological principles to identify this elusive pairing order through a set of phase-sensitive Josephson experiments. By examining the discrepancy between global and local angular momentum of the pairing order, we can unveil the monopole charge of the pairing order, including for models with higher pair monopole charge $|q_p|=1,2$, and 3. We demonstrate the proposed probe of monopole pairing order through analytic and numerical studies of Josephson coupling in models of monopole superconductor junctions. This work opens a promising avenue to uncover the unique topological properties of monopole pairing orders and to distinguish them from known pairing orders based on spherical harmonic symmetry. Published by the American Physical Society2024 

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3. Monopole Floer homology and SOLV geometry

   https://doi.org/10.5802/ahl.56  

   Lin, Francesco (January 2020, Annales Henri Lebesgue)

   null (Ed.)
4. On the monopole Lefschetz number of finite-order diffeomorphisms

   https://doi.org/10.2140/gt.2021.25.3591  

   Lin, Jianfeng; Ruberman, Daniel; Saveliev, Nikolai (January 2021, Geometry & Topology)
5. Manipulation of the magnetic monopole injection for topological transition

   https://doi.org/10.1038/s41427-024-00529-9  

   Han, Hee-Sung; Montoya, Sergio_A; Fullerton, Eric_E; Chao, Weilun; Je, Soong-Geun; Lee, Ki‐Suk; Im, Mi-Young (February 2024, NPG Asia Materials)

   Abstract Manipulating the topological properties of spin textures in magnetic materials is of great interest due to the rich physics and promising technological applications of these materials in advanced electronic devices. A spin texture with desired topological properties can be created by magnetic monopole injection, resulting in topological transitions involving changes in the topological charge. Therefore, controlling magnetic monopole injection has paramount importance for obtaining the desired spin textures but has not yet been reported. Here, we report the use of reliably manipulated magnetic monopole injection in the topological transition from stripe domains to skyrmions in an Fe/Gd multilayer. An easily tunable in-plane magnetic field applied to an Fe/Gd multilayer plays a key role in the magnetic monopole injection by modulating the local exchange energy. Our findings facilitate the efficient management of topological transitions by providing an important method for controlling magnetic monopole injection. 

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