{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,15]],"date-time":"2026-07-15T17:12:51Z","timestamp":1784135571518,"version":"3.55.0"},"reference-count":45,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2024,10,25]],"date-time":"2024-10-25T00:00:00Z","timestamp":1729814400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"},{"start":{"date-parts":[[2024,10,25]],"date-time":"2024-10-25T00:00:00Z","timestamp":1729814400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0"}],"funder":[{"DOI":"10.13039\/501100001823","name":"Czech Ministry of Education, Youth and Sports","doi-asserted-by":"crossref","award":["CZ.02.01.01\/00\/22_008\/0004594"],"award-info":[{"award-number":["CZ.02.01.01\/00\/22_008\/0004594"]}],"id":[{"id":"10.13039\/501100001823","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001824","name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","doi-asserted-by":"publisher","award":["22-22322S"],"award-info":[{"award-number":["22-22322S"]}],"id":[{"id":"10.13039\/501100001824","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Sci Rep"],"DOI":"10.1038\/s41598-024-75321-4","type":"journal-article","created":{"date-parts":[[2024,10,25]],"date-time":"2024-10-25T06:02:45Z","timestamp":1729836165000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Spin and orbital magnetic moments of UTe2 induced by the external magnetic field"],"prefix":"10.1038","volume":"14","author":[{"given":"Alexander B.","family":"Shick","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Urszula D.","family":"Wdowik","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Itzhak","family":"Halevy","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Dominik","family":"Legut","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2024,10,25]]},"reference":[{"key":"75321_CR1","doi-asserted-by":"publisher","first-page":"587","DOI":"10.1038\/35020500","volume":"406","author":"S Saxena","year":"2000","unstructured":"Saxena, S. et al. Superconductivity on the border of itinerant-electron ferromagnetism in $$\\text{ UGe}_2$$. Nature 406, 587 (2000).","journal-title":"Nature"},{"key":"75321_CR2","doi-asserted-by":"publisher","first-page":"613","DOI":"10.1038\/35098048","volume":"413","author":"D Aoki","year":"2001","unstructured":"Aoki, D. et al. Coexistence of superconductivity and ferromagnetism in URhGe. Nature 413, 613 (2001).","journal-title":"Nature"},{"key":"75321_CR3","doi-asserted-by":"crossref","unstructured":"Huy, N. T., Gasparini, A., de Nijs, D. E., Huang, Y., Klaasse, J. C. P., Gortenmulder, T., de Visser, A., Hamann, A., Gorlach, T., & Lohneysen, H. V. Superconductivity on the border of weak itinerant ferromagnetism in UCoGe. Phys. Rev. Lett. 99, 067006 (2007).","DOI":"10.1103\/PhysRevLett.99.067006"},{"key":"75321_CR4","doi-asserted-by":"publisher","first-page":"684","DOI":"10.1126\/science.aav8645","volume":"365","author":"S Ran","year":"2019","unstructured":"Ran, S. et al. Nearly ferromagnetic spin-triplet superconductivity. Science 365, 684 (2019).","journal-title":"Science"},{"key":"75321_CR5","doi-asserted-by":"publisher","first-page":"043702","DOI":"10.7566\/JPSJ.88.043702","volume":"88","author":"D Aoki","year":"2019","unstructured":"Aoki, D. et al. Low energy band structure and symmetries of UTe2 from angle-resolved photoemission spectroscopy. J. Phys. Soc. Jpn. 88, 043702 (2019).","journal-title":"J. Phys. Soc. Jpn."},{"key":"75321_CR6","doi-asserted-by":"publisher","first-page":"L100503","DOI":"10.1103\/PhysRevB.103.L100503","volume":"103","author":"G Nakamine","year":"2021","unstructured":"Nakamine, G. et al. Anisotropic response of spin susceptibility in the superconducting state of UTe2 probed with $$^{125}$$Te-NMR measurement. Phys. Rev. B 103, L100503 (2021).","journal-title":"Phys. Rev. B"},{"key":"75321_CR7","doi-asserted-by":"publisher","first-page":"243002","DOI":"10.1088\/1361-648X\/ac5863","volume":"34","author":"D Aoki","year":"2022","unstructured":"Aoki, D. et al. Unconventional superconductivity in UTe2. J. Phys. Condens. Matter 34, 243002 (2022).","journal-title":"J. Phys. Condens. Matter"},{"key":"75321_CR8","doi-asserted-by":"publisher","first-page":"1250","DOI":"10.1038\/s41567-019-0670-x","volume":"15","author":"S Ran","year":"2019","unstructured":"Ran, S. et al. Extreme magnetic field-boosted superconductivity. Nat. Phys. 15, 1250 (2019).","journal-title":"Nat. Phys."},{"key":"75321_CR9","doi-asserted-by":"publisher","first-page":"140502","DOI":"10.1103\/PhysRevB.100.140502","volume":"100","author":"S Sundar","year":"2019","unstructured":"Sundar, S. et al. Coexistence of ferromagnetic fluctuations and superconductivity in the actinide superconductor UTe2. Phys. Rev. B 100, 140502 (2019).","journal-title":"Phys. Rev. B"},{"key":"75321_CR10","doi-asserted-by":"publisher","first-page":"523","DOI":"10.1038\/s41586-020-2122-2","volume":"579","author":"L Jiao","year":"2020","unstructured":"Jiao, L. et al. Chiral superconductivity in heavy-fermion metal $$\\text{ UTe}_2$$. Nature 579, 523 (2020).","journal-title":"Nature"},{"key":"75321_CR11","doi-asserted-by":"publisher","first-page":"103701","DOI":"10.7566\/JPSJ.88.103701","volume":"88","author":"S-I Fujimori","year":"2019","unstructured":"Fujimori, S.-I. et al. Electronic structure of UTe2 studied by photoelectron spectroscopy. J. Phys. Soc. Jpn. 88, 103701 (2019).","journal-title":"J. Phys. Soc. Jpn."},{"key":"75321_CR12","doi-asserted-by":"publisher","first-page":"076401","DOI":"10.1103\/PhysRevLett.124.076401","volume":"124","author":"L Miao","year":"2020","unstructured":"Miao, L. et al. Low energy band structure and symmetries of UTe2 from angle-resolved photoemission spectroscopy. Phys. Rev. Lett. 124, 076401 (2020).","journal-title":"Phys. Rev. Lett."},{"key":"75321_CR13","doi-asserted-by":"crossref","unstructured":"Thomas, S. M., Santos, F. B., Christensen, M. H., Asaba, T., Ronning, F., Thompson, J. D., Bauer, E. D., Fernandes, R. M., Fabbris, G., & Rosa, P. F. S. Evidence for a pressure-induced antiferromagnetic quantum critical point in intermediate-valence $$\\text{ UTe}_2$$. Sci. Adv. 6, eabc8709 (2020).","DOI":"10.1126\/sciadv.abc8709"},{"key":"75321_CR14","doi-asserted-by":"publisher","first-page":"015002","DOI":"10.7566\/JPSJ.90.015002","volume":"90","author":"S-I Fujimori","year":"2021","unstructured":"Fujimori, S.-I. et al. Core-level photoelectron spectroscopy study of UTe2. J. Phys. Soc. Jpn. 90, 015002 (2021).","journal-title":"J. Phys. Soc. Jpn."},{"key":"75321_CR15","doi-asserted-by":"publisher","first-page":"125136","DOI":"10.1103\/PhysRevB.103.125136","volume":"103","author":"AB Shick","year":"2021","unstructured":"Shick, A. B., Fujimori, S.-I. & Pickett, W. E. $$\\text{ UTe}_2$$: A nearly insulating half-filled j=5\/2 5$$\\text{ f}^3$$ heavy-fermion metal. Phys. Rev. B 103, 125136 (2021).","journal-title":"Phys. Rev. B"},{"key":"75321_CR16","doi-asserted-by":"publisher","first-page":"083704","DOI":"10.7566\/JPSJ.91.083704","volume":"91","author":"D Aoki","year":"2022","unstructured":"Aoki, D. et al. First observation of de Haas-van Alphen effect and Fermi surfaces in unconventional superconductor $$\\text{ UTe}_2$$. J. Phys. Soc. Jpn. 91, 083704 (2022).","journal-title":"J. Phys. Soc. Jpn."},{"key":"75321_CR17","doi-asserted-by":"publisher","first-page":"L241111","DOI":"10.1103\/PhysRevB.106.L241111","volume":"106","author":"S Liu","year":"2022","unstructured":"Liu, S. et al. Identifying $$f$$-electron symmetries of UTe2 with O-edge resonant inelastic x-ray scattering. Phys. Rev. B 106, L241111 (2022).","journal-title":"Phys. Rev. B"},{"key":"75321_CR18","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.100.134502","volume":"100","author":"AB Shick","year":"2019","unstructured":"Shick, A. B. & Pickett, W. E. Spin-orbit coupling induced degeneracy in the anisotropic unconventional superconductor $$\\text{ UTe}_2$$. Phys. Rev. B 100, 134502 (2019).","journal-title":"Phys. Rev. B"},{"key":"75321_CR19","doi-asserted-by":"publisher","first-page":"217001","DOI":"10.1103\/PhysRevLett.123.217001","volume":"123","author":"J Ishizuka","year":"2019","unstructured":"Ishizuka, J., Sumita, S., Daido, A. & Yanese, Y. Insulator-metal transition and topological superconductivity in $$\\text{ UTe}_2$$ from a first-principles calculation. Phys. Rev. Lett. 123, 217001 (2019).","journal-title":"Phys. Rev. Lett."},{"key":"75321_CR20","doi-asserted-by":"publisher","first-page":"217002","DOI":"10.1103\/PhysRevLett.123.217002","volume":"123","author":"Y Xu","year":"2019","unstructured":"Xu, Y., Sheng, Y. & Yang, Y.-F. Quasi-two-dimensional Fermi surfaces and unitary spin-triplet pairing in the heavy fermion superconductor $$\\text{ UTe}_2$$. Phys. Rev. Lett. 123, 217002 (2019).","journal-title":"Phys. Rev. Lett."},{"key":"75321_CR21","unstructured":"Nevidomskyy, A. H. Stability of a Nonunitary Triplet Pairing on the Border of Magnetism in $$\\text{ UTe}_2$$. arXiv:2001.02699 (2020)."},{"key":"75321_CR22","doi-asserted-by":"publisher","first-page":"214501","DOI":"10.1103\/PhysRevB.107.214501","volume":"107","author":"S Khmelevskyi","year":"2023","unstructured":"Khmelevskyi, S., Pourovskii, L. V. & Tereshina-Chitrova, E. A. Structure of the normal state and origin of the Schottky anomaly in the correlated heavy-fermion superconductor $$\\text{ UTe}_2$$. Phys. Rev. B 107, 214501 (2023).","journal-title":"Phys. Rev. B"},{"key":"75321_CR23","doi-asserted-by":"publisher","first-page":"96","DOI":"10.1038\/s42005-023-01220-1","volume":"6","author":"F Wilhelm","year":"2023","unstructured":"Wilhelm, F., Sanchez, J.-P., Knebel, G., Lapertot, G. & Rogalev, A. Investigating the electronic states of $$\\text{ UTe}_2$$ using X-ray spectroscopy. Commun. Phys. 6, 96 (2023).","journal-title":"Commun. Phys."},{"key":"75321_CR24","doi-asserted-by":"publisher","first-page":"097401","DOI":"10.1103\/PhysRevLett.93.097401","volume":"93","author":"G van der Laan","year":"2004","unstructured":"van der Laan, G. Applicability of the spin-orbit sum rule for the actinide 5$$f$$ states. Phys. Rev. Lett. 93, 097401 (2004).","journal-title":"Phys. Rev. Lett."},{"key":"75321_CR25","doi-asserted-by":"publisher","first-page":"1943","DOI":"10.1103\/PhysRevLett.68.1943","volume":"68","author":"BT Tholle","year":"1992","unstructured":"Tholle, B. T., Carra, P., Sette, F. & van der Laan, G. X-ray circular dichroism as a probe of orbital magnetization. Phys. Rev. Lett. 68, 1943 (1992).","journal-title":"Phys. Rev. Lett."},{"key":"75321_CR26","doi-asserted-by":"publisher","first-page":"14458","DOI":"10.1103\/PhysRevB.53.14458","volume":"53","author":"G van der Laan","year":"1996","unstructured":"van der Laan, G. & Thole, B. T. X-ray-absorption sum rules in jj-coupled operators and ground-state moments of actinide ions. Phys. Rev. B 53, 14458 (1996).","journal-title":"Phys. Rev. B"},{"key":"75321_CR27","doi-asserted-by":"publisher","first-page":"035105","DOI":"10.1103\/PhysRevB.71.035105","volume":"71","author":"M Cococcioni","year":"2005","unstructured":"Cococcioni, M. & Gironcoli, S. Linear response approach to the calculation of the effective interaction parameters in the LDA+U method. Phys. Rev. B 71, 035105 (2005).","journal-title":"Phys. Rev. B"},{"key":"75321_CR28","doi-asserted-by":"publisher","first-page":"063706","DOI":"10.7566\/JPSJ.88.063706","volume":"88","author":"A Miyake","year":"2019","unstructured":"Miyake, A. et al. Metamagnetic transition in heavy Fermion superconductor $$\\text{ UTe}_2$$. J. Phys. Soc. Jpn. 88, 063706 (2019).","journal-title":"J. Phys. Soc. Jpn."},{"key":"75321_CR29","doi-asserted-by":"publisher","first-page":"L100409","DOI":"10.1103\/PhysRevB.104.L100409","volume":"104","author":"W Knafo","year":"2021","unstructured":"Knafo, W., Knebel, G., Steffens, P., Kaneko, K. & Rosuel, A. Low-dimensional antiferromagnetic fluctuations in the heavy-fermion paramagnetic ladder compound $$\\text{ UTe}_2$$. Phys. Rev. B 104, L100409 (2021).","journal-title":"Phys. Rev. B"},{"key":"75321_CR30","first-page":"011022","volume":"13","author":"A Rosuel","year":"2023","unstructured":"Rosuel, A. et al. Field-induced tuning of the pairing state in a superconductor. PRX 13, 011022 (2023).","journal-title":"PRX"},{"key":"75321_CR31","doi-asserted-by":"publisher","first-page":"2232","DOI":"10.1142\/S0217979207043610","volume":"21","author":"G Zwicknagl","year":"2007","unstructured":"Zwicknagl, G. 5$$f$$ electrons in actinides: Dual nature and photoemission spectra. Int. J. Mod. Phys. B 21, 2232 (2007).","journal-title":"Int. J. Mod. Phys. B"},{"key":"75321_CR32","doi-asserted-by":"crossref","unstructured":"Mahan, G.\u00a0D. Many-Particle Physics ( Springer, 2000).","DOI":"10.1007\/978-1-4757-5714-9"},{"key":"75321_CR33","doi-asserted-by":"publisher","first-page":"103037","DOI":"10.1088\/1367-2630\/ac2d71","volume":"23","author":"M Tchaplianka","year":"2021","unstructured":"Tchaplianka, M., Shick, A. B. & Lichtenstein, A. I. Valence fluctuations and Kondo resonance in Co adatom on $$\\text{ Cu}_2$$N\/Cu(100) surface: DFT + ED study. New J. Phys. 23, 103037 (2021).","journal-title":"New J. Phys."},{"key":"75321_CR34","doi-asserted-by":"publisher","first-page":"245115","DOI":"10.1103\/PhysRevB.106.245115","volume":"106","author":"AB Shick","year":"2022","unstructured":"Shick, A. B., Tchaplianka, M. & Lichtenstein, A. Spin-orbit coupling and Kondo resonance in the Co adatom on the Cu(100) surface: DFT plus exact diagonalization study. Phys. Rev. B 106, 245115 (2022).","journal-title":"Phys. Rev. B"},{"key":"75321_CR35","doi-asserted-by":"publisher","first-page":"1023","DOI":"10.1103\/PhysRevLett.46.1023","volume":"46","author":"WD Schneider","year":"1980","unstructured":"Schneider, W. D. & Laubschat, C. 5-$$f$$-electron localization in uranium compounds. Phys. Rev. Lett. 46, 1023 (1980).","journal-title":"Phys. Rev. Lett."},{"key":"75321_CR36","doi-asserted-by":"crossref","unstructured":"Lichtenstein, A. I., & Katsnelson, M. I. Ab initio calculations of quasiparticle band structure in correlated systems: LDA++ approach. Phys. Rev. B 57, 6884 (1998).","DOI":"10.1103\/PhysRevB.57.6884"},{"key":"75321_CR37","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511470752","volume-title":"The Kondo Problem to Heavy Fermions, Cambridge Studies in Magnetism","author":"AC Hewson","year":"1993","unstructured":"Hewson, A. C. The Kondo Problem to Heavy Fermions, Cambridge Studies in Magnetism Vol. 2 (Cambridge University Press, 1993)."},{"key":"75321_CR38","doi-asserted-by":"publisher","first-page":"550","DOI":"10.1145\/279232.279236","volume":"23","author":"C Zhu","year":"1997","unstructured":"Zhu, C., Byrd, R. H., Lu, P. & Nocedal, J. Algorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound-constrained optimization. ACM Trans. Math. Softw. 23, 550 (1997).","journal-title":"ACM Trans. Math. Softw."},{"key":"75321_CR39","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1145\/2049662.2049669","volume":"38","author":"JL Morales","year":"2011","unstructured":"Morales, J. L. & Nocedal, J. Remark on \u201calgorithm 778: L-BFGS-B: Fortran subroutines for large-scale bound constrained optimization\u2019\u2019. ACM Trans. Math. Softw. 38, 1 (2011).","journal-title":"ACM Trans. Math. Softw."},{"key":"75321_CR40","doi-asserted-by":"publisher","first-page":"235136","DOI":"10.1103\/PhysRevB.85.235136","volume":"85","author":"J Kolorenc","year":"2012","unstructured":"Kolorenc, J., Poteryaev, A. I. & Lichtenstein, A. I. Valence-band satellite in ferromagnetic nickel: LDA+DMFT study with exact diagonalization. Phys. Rev. B 85, 235136 (2012).","journal-title":"Phys. Rev. B"},{"key":"75321_CR41","doi-asserted-by":"publisher","first-page":"5758","DOI":"10.1103\/PhysRevLett.80.5758","volume":"80","author":"I Solovyev","year":"1998","unstructured":"Solovyev, I., Liechtenstein, A. & Terakura, K. Is Hund\u2019s second rule responsible for the orbital magnetism in solids?. Phys. Rev. Lett. 80, 5758 (1998).","journal-title":"Phys. Rev. Lett."},{"key":"75321_CR42","doi-asserted-by":"crossref","unstructured":"Yu, S., Savrasov & Kotliar, G. Ground state theory of $$\\delta -$$Pu. Phys. Rev. Lett. 84, 3670 (2000).","DOI":"10.1103\/PhysRevLett.84.3670"},{"key":"75321_CR43","doi-asserted-by":"publisher","first-page":"10763","DOI":"10.1103\/PhysRevB.60.10763","volume":"60","author":"AB Shick","year":"1999","unstructured":"Shick, A. B., Liechtenstein, A. I. & Pickett, W. E. Implementation of the LDA+U method using the full-potential linearized augmented plane-wave basis. Phys. Rev. B 60, 10763 (1999).","journal-title":"Phys. Rev. B"},{"key":"75321_CR44","doi-asserted-by":"publisher","first-page":"134506","DOI":"10.1103\/PhysRevB.70.134506","volume":"70","author":"AB Shick","year":"2004","unstructured":"Shick, A. B., Janis, V., Drchal, V. & Pickett, W. E. Spin and orbital magnetic state of UGe2 under pressure. Phys. Rev. B 70, 134506 (2004).","journal-title":"Phys. Rev. B"},{"key":"75321_CR45","doi-asserted-by":"publisher","first-page":"201116","DOI":"10.1103\/PhysRevB.97.201116","volume":"97","author":"O Kristanovski","year":"2018","unstructured":"Kristanovski, O., Shick, A. B., Lechermann, F. & Lichtenstein, A. I. Role of nonspherical double counting in DFT+DMFT: Total energy and structural optimization of pnictide superconductors. Phys. Rev. B 97, 201116 (2018).","journal-title":"Phys. Rev. B"}],"container-title":["Scientific Reports"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.nature.com\/articles\/s41598-024-75321-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.nature.com\/articles\/s41598-024-75321-4","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/www.nature.com\/articles\/s41598-024-75321-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,25]],"date-time":"2024-10-25T06:05:11Z","timestamp":1729836311000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.nature.com\/articles\/s41598-024-75321-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,10,25]]},"references-count":45,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2024,12]]}},"alternative-id":["75321"],"URL":"https:\/\/doi.org\/10.1038\/s41598-024-75321-4","relation":{"has-preprint":[{"id-type":"doi","id":"10.21203\/rs.3.rs-4449810\/v1","asserted-by":"object"}]},"ISSN":["2045-2322"],"issn-type":[{"value":"2045-2322","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,10,25]]},"assertion":[{"value":"20 May 2024","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 October 2024","order":2,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"25 October 2024","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare no competing interests.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Competing interests"}}],"article-number":"25337"}}