5 papers
Current-Induced Dynamics and Instability Pathways of Skyrmioniums in Chiral Magnets
Kaito Nakamura, Yuka Kotorii, Andrey O. Leonov
We present a comprehensive study of current-driven dynamics, transformations, and instabilities of skyrmioniums in chiral magnetic films, considering both isolated objects and coll…
On the isotopies of tangles in periodic 3-manifolds using finite covers
Yuka Kotorii, Sonia Mahmoudi, Elisabetta A. Matsumoto +1
A periodic tangle is a one-dimensional submanifold in that has translational symmetry in one, two or three transverse directions. A periodic tangle can be seen as th…
Linking numbers for periodic tangles
Yuka Kotorii, Ken'ichi Yoshida
Periodic tangles are 1-dimensional submanifolds in the 3-space with translational symmetry. In this paper, we define the linking numbers for singly, doubly, and triply periodic tan…
Chiral Analogues of Knit Stitches Designed Using Chiral Topology
Shunsuke Takano, Yusuke Kochi, Ken'ichi Yoshida +4
Fabrics are flexible thin structures made of entangled yarn or fibers, yet the topological bases of their mechanics remain poorly understood. For weft knitted fabrics, we describe…
Linking number of grid models
Senja Barthel, Yuka Kotorii
This paper studies the linking numbers of random links within the grid model. The linking number is treated as a random variable on the isotopy classes of 2-component links, with t…