Universal Hopping Motion Protected by Structural Topology

A scaling law elucidates the universality in nature, presiding over many physical phenomena which seem unrelated. Thus, exploring the universality class of scaling law in a particular system enlightens its physical nature in relevance to other systems and sometimes unearths an unprecedented new dyna...

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Bibliographic Details
Published in:Advanced materials (Weinheim) 2022-10, Vol.34 (40), p.e2203275-n/a
Main Authors: Song, Moojune, You, Mujin, Yang, Seungmo, Ju, Tae‐Seong, Moon, Kyoung‐Woong, Hwang, Chanyong, Kim, Kyoung‐Whan, Park, Albert Min Gyu, Kim, Kab‐Jin
Format: Article
Language:English
Subjects:
creep
Domain walls
hopping
Hypothetical particles
Magnetic domains
magnetic skyrmions
Particle theory
Scaling laws
Spin structure
structural topology
Topology
universality
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Summary:A scaling law elucidates the universality in nature, presiding over many physical phenomena which seem unrelated. Thus, exploring the universality class of scaling law in a particular system enlightens its physical nature in relevance to other systems and sometimes unearths an unprecedented new dynamic phase. Here, the dynamics of weakly driven magnetic skyrmions are investigated, and its scaling law is compared with the motion of a magnetic domain wall (DW) creep. This study finds that the skyrmion does not follow the scaling law of the DW creep in 2D space but instead shows a hopping behavior similar to that of the particle‐like DW in 1D confinement. In addition, the hopping law satisfies even when a topological charge of the skyrmion is removed. Therefore, the distinct scaling behavior between the magnetic skyrmion and the DW stems from a general principle beyond the topological charge. This study demonstrates that the hopping behavior of skyrmions originates from the bottleneck process induced by DW segments with diverging collective lengths, which is inevitable in any closed‐shape spin structure in 2D. This work reveals that the structural topology of magnetic texture determines the universality class of its weakly driven motion, which is distinguished from the universality class of magnetic DW creep. Universal scaling behavior of hopping motion determined by the shape of the interface and its topology is discovered through the current‐driven motion of magnetic skyrmions. This provides insights for implementing the skyrmionic devices and, for understanding the dynamics of moving bodies with a closed interface, which appears in a wide range of physical systems.
ISSN:0935-9648
1521-4095
DOI:10.1002/adma.202203275