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From Classical Heisenberg Model to Spiral Magnetism

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Created a note titled “From Classical Heisenberg Model to Spiral Magnetism”, which guides readers through using the classical Heisenberg model to determine the conditions under which spiral magnetic configuration emerges. Available in both the Chinese version “从古典海森堡模型到螺旋磁性” and the Japanese version “古典 Heisenberg 模型から螺旋磁性へ”. An English version is not yet available.

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A square skyrmion lattice in multi-orbital f-electron systems

Published in arXiv (Articles listed here will be removed after official publication.), 2025

Abstract: We report the emergence of a square-shaped skyrmion lattice in multi-orbital f-electron systems with easy-axis magnetic anisotropy on a centrosymmetric square lattice. By performing mean-field calculations for an effective localized model consisting of two Kramers doublets, we construct the low-temperature phase diagram in a static external magnetic field. Consequently, we find that a square-shaped skyrmion lattice with the skyrmion number of one appears in the intermediate-field region when the crystal field splitting between the two doublets is small. Furthermore, we identify another double-Q state with a nonzero net scalar chirality at zero- and low-field regions, which is attributed to the help of the multi-orbital degree of freedom. Our results offer another route to search for skyrmion-hosting materials in centrosymmetric f-electron tetragonal systems with multi-orbital degrees of freedom, e.g., Ce-based compounds. This contrasts with conventional other f-electron systems hosting skyrmion lattices, such as Gd- and Eu-based compounds without orbital angular momentum.

Recommended citation: "Y. Zha and S. Hayami, A square skyrmion lattice in multi-orbital $f$-electron systems (2025), arXiv:2502.11765 [cond-mat.str-el]."
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Undergraduate course, University 1, Department, 2014

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