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Kautsar et al. Energy Mater. 2025, 5, 500129                        Energy Materials
               DOI: 10.20517/energymater.2025.26



               Article                                                                       Open Access



               Impact of intergranular phase variations on the
               anomalous Nernst effect in Nd-Fe-B permanent

               magnets


                                               2
                                                             2
                                1,2
               Zulfa Hilmi Kautsar , Babu Madavali , Takamasa Hirai , Ken-ichi Uchida 1,2,3 , Hossein Sepehri-Amin 1,2,*
               1
                Graduate School of Science and Technology, University of Tsukuba, Tsukuba 305-8577, Japan.
               2
                National Institute for Materials Science (NIMS), Tsukuba 305-0047, Japan.
               3
                Department of Advanced Materials Science, Graduate School of Frontier Sciences, The University of Tokyo, Kashiwa 277-8561,
               Japan.
               * Correspondence to: Prof. Hossein Sepehri-Amin, Research Center for Magnetic and Spintronic Materials, National Institute
               for Materials Science (NIMS), Sengen 1-2-1, Tsukuba 305-0047, Japan. E-mail: h.sepehriamin@nims.go.jp
               How to cite this article: Kautsar, Z. H.; Madavali, B.; Hirai, T.; Uchida, K.; Sepehri-Amin, H. Impact of intergranular phase
               variations on the anomalous Nernst effect in Nd-Fe-B permanent magnets. Energy Mater. 2025, 5, 500129. https://dx.doi.org/10.
               20517/energymater.2025.26

               Received: 29 Jan 2025  First Decision: 18 Mar 2025  Revised: 18 Apr 2025  Accepted: 30 Apr 2025  Published: 26 Jun 2025
               Academic Editor: Sining Yun  Copy Editor: Ping Zhang  Production Editor: Ping Zhang


               Abstract
               Improving  the  anomalous  Nernst  coefficient  (S ANE )  in  permanent  magnets  is  essential  for  increasing  the
               power density in transverse thermoelectric generators, which use permanent magnets to operate the anomalous
               Nernst effect without relying on an external magnetic field. While recent studies indicate that microstructural
               engineering can affect S , the specific relationship between microstructure and S  ANE  in permanent magnets
                                  ANE
               remains underexplored. This study investigates S ANE  of hot-pressed, hot-deformed, and RE-Cu (RE = Dy-Nd, Nd,
               and Pr) grain boundary diffusion-processed Nd-Fe-B magnets. The results show that S ANE  increases by 68%, from
                                                               -1
                                                           -7
                          -1
                      -7
               -2.6 × 10  VK  in the hot-pressed state to -4.4 × 10  VK  after hot-deformation in which grain growth and
               crystallographic texture are realized without changing the composition of the magnets. S ANE  further increases to
                      -7
                          -1
               -5.0 × 10  VK  after grain boundary structure and composition change from thin amorphous phase to thick
               crystalline phase by grain boundary diffusion of Dy-Nd-Cu alloy. The increase in S ANE  is found to be primarily due to
               the reduction of the opposing transverse electric field caused by the Seebeck-effect-induced carrier flow bent by
               the anomalous Hall effect. Owing to the crystallographic texture formation after hot-deformation, almost the same
               transverse thermopower as S ANE  is obtained in the hot-deformed and RE-Cu grain boundary diffusion-processed
               Nd-Fe-B magnets at a remanence state, i.e., under zero magnetic field. These findings demonstrate that
               microstructural optimization can effectively enhance the S ANE  in ultra-fine grained Nd-Fe-B magnets, providing a
               promising avenue for advancing materials in applications of transverse thermoelectrics.

               Keywords: Anomalous Nernst effect, hot-deformed magnets, microstructural engineering, Nd-Fe-B, permanent
               magnets


                           © The Author(s) 2025. Open Access This article is licensed under a Creative Commons Attribution 4.0
                           International License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, sharing,
                           adaptation, distribution and reproduction in any medium or format, for any purpose, even commercially, as
               long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and
               indicate if changes were made.

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