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Acknowledgements
We are grateful to B. Zinkl and G. Mattoni for helpful discussion. We acknowledge the
support from International Center for Materials Nanoarchitectonics (MANA) in the
National Institute for Materials Science (NIMS), Japan. This work is supported by JSPS
KAKENHI (Nos. JP15H05852, JP15K21717, JP22H01168, JP23K17670, JP22H04473 and
JP26287078), JSPS-EPSRC Core-to-Core Programme (No. JPJSCCA20170002), and the
Swiss National Science Foundation (SNSF) through Division II (No. 184739). M.S.A. and
J.W.A.R. acknowledges funding from the EPSRC International Network Grant “Oxide
Superspin” (No. EP/P026311/1).
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Author contributions
M.S.A. devised the experiments and performed the measurements. T.N., R.I., and M.S.A.
prepared the devices. S.Y. was also involved in the measurements. M.S.A., S.A. J.W.A.R.,
and Y.M. analysed the data. M.S. provided theoretical input. M.S.A. wrote the paper and
all the authors were involved in revision and discussion.
Competing interests
The authors declare no competing interests.
Additional information
Supplementary information The online version contains supplementary material
available at https://doi.org/10.1038/s42005-023-01409-4.
Correspondence and requests for materials should be addressed to Muhammad Shahbaz
Anwar.
Peer review information Communications Physics thanks the anonymous reviewers for
their contribution to the peer review of this work.
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