Impact of Dzyaloshinsky-Moriya Interactions and Tilts of the g Tensors on the Magnetization Process of a Spherical Kagome Cluster in {W72V30}
Yoshiyuki Fukumoto, Yuto Yokoyama, and Hiroki Nakano

TL;DR
This study investigates how Dzyaloshinsky-Moriya interactions and g tensor tilts influence the magnetization process in a spherical kagome cluster, explaining the absence of staircase behavior in experimental magnetization curves.
Contribution
It demonstrates that DM interactions and g tensor tilts break total-S z conservation, affecting magnetization behavior and explaining experimental observations in {W72V30}.
Findings
DM interactions cancel staircase behavior at low fields.
G tensor tilts induce site-dependent magnetic fields.
High-field magnetization affected by induced magnetic fields.
Abstract
In order to clarify why the experimental magnetization curve of the spherical kagome cluster in {W72V30} at 0.5 K shows no sign of staircase behavior up to 50 T, we study the effects of Dzyaloshinsky-Moriya (DM) interactions and tilts of the g tensors, both of which lead to the breaking of the total-S z conservation, by using the exact diagonalization method. It is found that the D vector component parallel to the radiation direction of the polyhedron cancels out the staircase in a low magnetic field region efficiently. The tilts of the g tensors are inherent to systems defined on the poly- hedrons and lead to induced magnetic fields varying site by site. This induced magnetic field affects the magnetization only at high magnetic fields. We also discuss two existing experimental results on the basis of our calculated results.
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