Sum rules for X-ray circular and linear dichroism based on complete magnetic multipole basis
X-ray magnetic circular dichroism (XMCD) and X-ray magnetic linear dichroism (XMLD) are powerful spectroscopic techniques for probing magnetic properties in solids. In this study, we revisit the XMCD and XMLD sum rules within a complete magnetic multipole basis that incorporates both spinless and sp...
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Taylor & Francis Group
2025-12-01
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| Series: | Science and Technology of Advanced Materials |
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| Online Access: | https://www.tandfonline.com/doi/10.1080/14686996.2025.2513217 |
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| author | Y. Yamasaki Y. Ishii N. Sasabe |
| author_facet | Y. Yamasaki Y. Ishii N. Sasabe |
| author_sort | Y. Yamasaki |
| collection | DOAJ |
| description | X-ray magnetic circular dichroism (XMCD) and X-ray magnetic linear dichroism (XMLD) are powerful spectroscopic techniques for probing magnetic properties in solids. In this study, we revisit the XMCD and XMLD sum rules within a complete magnetic multipole basis that incorporates both spinless and spinful multipoles. We demonstrate that these multipoles can be clearly distinguished and individually detected through the sum-rule formalism. Within this framework, the anisotropic magnetic dipole term is naturally derived in XMCD, offering a microscopic origin for ferromagnetic-like behavior in antiferromagnets. Furthermore, we derive the sum rules for out-of-plane and in-plane XMLD regarding electric quadrupole contributions defined based on the complete multipole basis. Our theoretical approach provides a unified, symmetry-consistent framework for analyzing dichroic signals in various magnetic materials. These findings deepen the understanding of XMCD and XMLD and open pathways to exploring complex magnetic structures and spin-orbit coupling effects in emergent magnetic materials. |
| format | Article |
| id | doaj-art-1e0282a4a0c845e9b3efa0ba502bbd11 |
| institution | OA Journals |
| issn | 1468-6996 1878-5514 |
| language | English |
| publishDate | 2025-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Science and Technology of Advanced Materials |
| spelling | doaj-art-1e0282a4a0c845e9b3efa0ba502bbd112025-08-20T02:38:21ZengTaylor & Francis GroupScience and Technology of Advanced Materials1468-69961878-55142025-12-0126110.1080/14686996.2025.2513217Sum rules for X-ray circular and linear dichroism based on complete magnetic multipole basisY. Yamasaki0Y. Ishii1N. Sasabe2Center for Basic Research on Materials, National Institute for Materials Science (NIMS), Tsukuba, JapanCenter for Basic Research on Materials, National Institute for Materials Science (NIMS), Tsukuba, JapanCenter for Basic Research on Materials, National Institute for Materials Science (NIMS), Tsukuba, JapanX-ray magnetic circular dichroism (XMCD) and X-ray magnetic linear dichroism (XMLD) are powerful spectroscopic techniques for probing magnetic properties in solids. In this study, we revisit the XMCD and XMLD sum rules within a complete magnetic multipole basis that incorporates both spinless and spinful multipoles. We demonstrate that these multipoles can be clearly distinguished and individually detected through the sum-rule formalism. Within this framework, the anisotropic magnetic dipole term is naturally derived in XMCD, offering a microscopic origin for ferromagnetic-like behavior in antiferromagnets. Furthermore, we derive the sum rules for out-of-plane and in-plane XMLD regarding electric quadrupole contributions defined based on the complete multipole basis. Our theoretical approach provides a unified, symmetry-consistent framework for analyzing dichroic signals in various magnetic materials. These findings deepen the understanding of XMCD and XMLD and open pathways to exploring complex magnetic structures and spin-orbit coupling effects in emergent magnetic materials.https://www.tandfonline.com/doi/10.1080/14686996.2025.2513217Magnetic materialsX-ray absorption spectroscopyX-ray magnetic circular dichroismX-ray magnetic linear dichroismAltermagnet |
| spellingShingle | Y. Yamasaki Y. Ishii N. Sasabe Sum rules for X-ray circular and linear dichroism based on complete magnetic multipole basis Science and Technology of Advanced Materials Magnetic materials X-ray absorption spectroscopy X-ray magnetic circular dichroism X-ray magnetic linear dichroism Altermagnet |
| title | Sum rules for X-ray circular and linear dichroism based on complete magnetic multipole basis |
| title_full | Sum rules for X-ray circular and linear dichroism based on complete magnetic multipole basis |
| title_fullStr | Sum rules for X-ray circular and linear dichroism based on complete magnetic multipole basis |
| title_full_unstemmed | Sum rules for X-ray circular and linear dichroism based on complete magnetic multipole basis |
| title_short | Sum rules for X-ray circular and linear dichroism based on complete magnetic multipole basis |
| title_sort | sum rules for x ray circular and linear dichroism based on complete magnetic multipole basis |
| topic | Magnetic materials X-ray absorption spectroscopy X-ray magnetic circular dichroism X-ray magnetic linear dichroism Altermagnet |
| url | https://www.tandfonline.com/doi/10.1080/14686996.2025.2513217 |
| work_keys_str_mv | AT yyamasaki sumrulesforxraycircularandlineardichroismbasedoncompletemagneticmultipolebasis AT yishii sumrulesforxraycircularandlineardichroismbasedoncompletemagneticmultipolebasis AT nsasabe sumrulesforxraycircularandlineardichroismbasedoncompletemagneticmultipolebasis |