Publications

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arXiv (Preprint articles listed here will be removed after official publication.)


Effects of crystal field and momentum-based frustrated exchange interactions on multiorbital square skyrmion lattice

Published in arXiv, 2025

Abstract: Motivated by recent theoretical predictions of a square-shaped skyrmion lattice (S-SkL) in centrosymmetric tetragonal Ce-based magnets [Yan Zha and Satoru Hayami, Phys. Rev. B 111, 165155 (2025)}], we perform a comprehensive theoretical investigation on the role of multiorbital effects, magnetic anisotropy, and momentum-based frustrated exchange interactions in stabilizing such topologically nontrivial magnetic textures. By employing self-consistent mean-field calculations over a broad range of model parameters, we demonstrate that the cooperative interplay among multiorbital effects, frustrated exchange interactions at higher-harmonic wave vectors, and crystal-field anisotropy is crucial for the stabilization of the S-SkL. Furthermore, the competition between the easy-plane intraorbital coupling and the easy-axis interorbital coupling leads to a significant enhancement of the S-SkL stability region. We also identify a plethora of multi-Q states, including magnetic bubble lattice and double-Q phases with a local/global scalar chirality. Our findings elucidate the microscopic mechanism responsible for the emergence of S-SkLs in Ce-based magnets and provide a route toward realizing skyrmion lattices in a broader class of f-electron materials beyond conventional Gd- and Eu-based systems lacking orbital angular momentum.

Recommended citation: Y. S. Zha and S. Hayami, Effects of crystal field and momentum-based frustrated exchange interactions on multiorbital square skyrmion lattice (2025), arXiv:2511.05896 [cond-mat.str-el].

DOI: 10.48550/arXiv.2511.05896

Published Papers


Square skyrmion lattice in multiorbital $f$-electron systems

Published in Physical Review B, 2025

Abstract: We report the emergence of a square-shaped skyrmion lattice in multiorbital $f$-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 multiorbital degree of freedom. Our results offer another route to search for skyrmion-hosting materials in centrosymmetric $f$-electron tetragonal systems with multiorbital 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, Square skyrmion lattice in multiorbital $f$-electron systems, Phys. Rev. B \bf{111}, 165155 (2025).

DOI: 10.1103/PhysRevB.111.165155

arXiv: https://arxiv.org/pdf/2502.11765