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Physics of Metals and Metallography

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05.02.2024 | ELECTRICAL AND MAGNETIC PROPERTIES

Playing Pure Spin Current in Helimagnets: Toward Chiral Spin-Orbitronics

verfasst von: V. V. Ustinov, I. A. Yasyulevich, N. G. Bebenin

Erschienen in: Physics of Metals and Metallography | Ausgabe 14/2023

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Abstract

A quantum theory of electron spin transport in conductive magnets is developed. The theory describes a large number of effects that arise due to spin-orbit scattering of conduction electrons on crystal lattice defects, such as the spin Hall effect, the inverse spin Hall effect, and the anomalous Hall effect. The transport through the contact of two different conductive magnetics is also considered; the phenomenological boundary conditions for the charge and spin flows are formulated, which make it possible to take into account the spin flip at the interface. The developed electron spin transport theory is used to describe the spin-orbitronics of the “helimagnet metal/non-magnetic metal” heterojunction. The spatial distribution of the polarization of the spin current injected into the helimagnet is found, and the characteristic decay lengths of different components of the polarization vector of the spin current are determined.

Vorheriger Artikel Change of Thermoelectric, Magnetic, and Mechanical Properties of Al–Ni–Co Ternary Alloy Depending on Grain Size

Nächster Artikel Longitudinal Magnetoresistance of Ta/Dy/Ta Nanostructures

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A. Hirohata, K. Yamada, Yo. Nakatani, I. Prejbeanu, B. Diény, P. Pirro, and B. Hillebrands, “Review on spintronics: Principles and device applications,” J. Magn. Magn. Mater. 509, 166711 (2020). https://doi.org/10.1016/j.jmmm.2020.166711CrossRef

Spin Current, Ed. by S. Maekawa, S. O. Valenzuela, E. Saitoh, and T. Kimura, 2nd ed. (Oxford University Press, Oxford, 2017). https://doi.org/10.1093/oso/9780198787075.001.0001CrossRef

A. A. Stashkevich, “Spin-orbitronics a novel trend in spin oriented electronics,” Izv. Vyssh. Uchebn. Zaved. Ross., Radioelektronika 22 (6), 45–54 (2019). https://doi.org/10.32603/1993-8985-2019-22-6-45-54CrossRef

A. Manchon, J. Železný, I. M. Miron, T. Jungwirth, J. Sinova, A. Thiaville, K. Garello, and P. Gambardella, “Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems,” Rev. Mod. Phys. 91, 35004 (2019). https://doi.org/10.1103/revmodphys.91.035004MathSciNetCrossRef

Yi. Cao, G. Xing, H. Lin, N. Zhang, H. Zheng, and K. Wang, “Prospect of spin-orbitronic devices and their applications,” iScience 23, 101614 (2020). https://doi.org/10.1016/j.isci.2020.101614

K. Ando, “Generation and manipulation of current-induced spin-orbit torques,” Proc. Jpn. Acad., Ser. B 97, 499–519 (2021). https://doi.org/10.2183/pjab.97.025CrossRef

D. Go, D. Jo, H. Lee, M. Kläui, and Yu. Mokrousov, “Orbitronics: Orbital currents in solids,” EPL 135, 37001 (2021). https://doi.org/10.1209/0295-5075/ac2653ADSCrossRef

R. Ramaswamy, J. M. Lee, K. Cai, and H. Yang, “Recent advances in spin-orbit torques: Moving towards device applications,” Appl. Phys. Rev. 5, 031107 (2018). https://doi.org/10.1063/1.5041793ADSCrossRef

M. I. Dyakonov and V. I. Perel, “Possibility of orienting electron spins with current,” JETP Lett. 13, 467–469 (1971).ADS

10.

M. I. Dyakonov and V. I. Perel, “Current-induced spin orientation of electrons in semiconductors,” Phys. Lett. A 35, 459–460 (1971). https://doi.org/10.1016/0375-9601(71)90196-4ADSCrossRef

11.

J. Chazalviel, “Spin-dependent Hall effect in semiconductors,” Phys. Rev. B 11, 3918–3934 (1975). https://doi.org/10.1103/physrevb.11.3918ADSCrossRef

12.

J. E. Hirsch, “Spin Hall effect,” Phys. Rev. Lett. 83, 1834–1837 (1999). https://doi.org/10.1103/physrevlett.83.1834ADSCrossRef

13.

S. Zhang, “Spin Hall effect in the presence of spin diffusion,” Phys. Rev. Lett. 85, 393–396 (2000). https://doi.org/10.1103/physrevlett.85.393ADSCrossRefPubMed

14.

A. Hoffmann, “Spin Hall effects in metals,” IEEE Trans. Magn. 49, 5172–5193 (2013). https://doi.org/10.1109/tmag.2013.2262947ADSCrossRef

15.

Ya. Niimi and Yo. Otani, “Reciprocal spin Hall effects in conductors with strong spin–orbit coupling: A review,” Rep. Prog. Phys. 78, 124501 (2015). https://doi.org/10.1088/0034-4885/78/12/124501ADSCrossRefPubMed

16.

J. Sinova, S. O. Valenzuela, J. Wunderlich, C. H. Back, and T. Jungwirth, “Spin Hall effects,” Rev. Mod. Phys. 87, 1213–1260 (2015). https://doi.org/10.1103/revmodphys.87.1213ADSCrossRef

17.

Spin Physics in Semiconductors, Ed. by M. I. Dyakonov, Springer Series in Solid-State Sciences, Vol. 157 (Springer, Cham, 2017). https://doi.org/10.1007/978-3-319-65436-2

18.

Y. K. Kato, R. C. Myers, A. C. Gossard, and D. D. Awschalom, “Observation of the spin Hall effect in semiconductors,” Science 306, 1910–1913 (2004). https://doi.org/10.1126/science.1105514ADSCrossRefPubMed

19.

J. Wunderlich, B. Kaestner, J. Sinova, and T. Jungwirth, “Experimental observation of the spin-Hall effect in a two-dimensional spin-orbit coupled semiconductor system,” Phys. Rev. Lett. 94, 47204 (2005). https://doi.org/10.1103/physrevlett.94.047204ADSCrossRef

20.

S. O. Valenzuela and M. Tinkham, “Direct electronic measurement of the spin Hall effect,” Nature 442, 176–179 (2006). https://doi.org/10.1038/nature04937

21.

T. Kimura, Y. Otani, T. Sato, S. Takahashi, and S. Maekawa, “Room-temperature reversible spin Hall effect,” Phys. Rev. Lett. 98, 156601 (2007). https://doi.org/10.1103/PhysRevLett.98.156601ADSCrossRef

22.

T. Seki, Yu. Hasegawa, S. Mitani, S. Takahashi, H. Imamura, S. Maekawa, J. Nitta, and K. Takanashi, “Giant spin Hall effect in perpendicularly spin-polarized FePt/Au devices,” Nat. Mater. 7, 125–129 (2008). https://doi.org/10.1038/nmat2098ADSCrossRef

23.

Y. Niimi, H. Suzuki, Y. Kawanishi, Y. Omori, T. Valet, A. Fert, and Y. Otani, “Extrinsic spin Hall effects measured with lateral spin valve structures,” Phys. Rev. B 89, 54401 (2014). https://doi.org/10.1103/physrevb.89.054401ADSCrossRef

24.

A. Chernyshov, M. Overby, X. Liu, J. K. Furdyna, Yu. Lyanda-Geller, and L. P. Rokhinson, “Evidence for reversible control of magnetization in a ferromagnetic material by means of spin–orbit magnetic field,” Nat. Phys. 5, 656–659 (2009). https://doi.org/10.1038/nphys1362CrossRef

25.

I. M. Miron, G. Gaudin, S. Auffret, B. Rodmacq, A. Schuhl, S. Pizzini, J. Vogel, and P. Gambardella, “Current-driven spin torque induced by the Rashba effect in a ferromagnetic metal layer,” Nat. Mater. 9, 230–234 (2010). https://doi.org/10.1038/nmat2613ADSCrossRefPubMed

26.

I. M. Miron, K. Garello, G. Gaudin, P.-J. Zermatten, M. V. Costache, S. Auffret, S. Bandiera, B. Rodmacq, A. Schuhl, and P. Gambardella, “Perpendicular switching of a single ferromagnetic layer induced by in-plane current injection,” Nature 476, 189–193 (2011). https://doi.org/10.1038/nature10309ADSCrossRefPubMed

27.

L. Liu, C. Pai, Y. Li, H. W. Tseng, D. C. Ralph, and R. A. Buhrman, “Spin-torque switching with the giant spin Hall effect of tantalum,” Science 336, 555–558 (2012). https://doi.org/10.1126/science.1218197ADSCrossRefPubMed

28.

L. Liu, O. J. Lee, T. J. Gudmundsen, D. C. Ralph, and R. A. Buhrman, “Current-induced switching of perpendicularly magnetized magnetic layers using spin torque from the spin Hall effect,” Phys. Rev. Lett. 109, 96602 (2012). https://doi.org/10.1103/physrevlett.109.096602ADSCrossRef

29.

V. T. Pham, M. Cosset-Chéneau, A. Brenac, O. Boulle, A. Marty, J. Attané, and L. Vila, “Evidence of interfacial asymmetric spin scattering at ferromagnet-Pt interfaces,” Phys. Rev. B 103, L201403 (2021). https://doi.org/10.1103/physrevb.103.l201403CrossRef

30.

W. Zhang, M. B. Jungfleisch, W. Jiang, J. E. Pearson, A. Hoffmann, F. Freimuth, and Yu. Mokrousov, “Spin Hall effects in metallic antiferromagnets,” Phys. Rev. Lett. 113, 196602 (2014). https://doi.org/10.1103/physrevlett.113.196602ADSCrossRefPubMed

31.

Yu. Yang, Ya. Xu, X. Zhang, Yi. Wang, S. Zhang, R.‑W. Li, M. S. Mirshekarloo, K. Yao, and Yi. Wu, “Fieldlike spin-orbit torque in ultrathin polycrystalline FeMn films,” Phys. Rev. B 93, 94402 (2016). https://doi.org/10.1103/physrevb.93.094402ADSCrossRef

32.

P. Wadley, B. Howells, J. Železný, C. Andrews, V. Hills, R. P. Campion, V. Novák, K. Olejník, F. Maccherozzi, S. S. Dhesi, S. Y. Martin, T. Wagner, J. Wunderlich, F. Freimuth, Y. Mokrousov, J. Kuneš, J. S. Chauhan, M. J. Grzybowski, A. W. Rushforth, K. W. Edmonds, B. L. Gallagher, and T. Jungwirth, “Electrical switching of an antiferromagnet,” Science 351, 587–590 (2016). https://doi.org/10.1126/science.aab1031ADSCrossRefPubMed

33.

S. Duttagupta, A. Kurenkov, O. A. Tretiakov, G. Krishnaswamy, G. Sala, V. Krizakova, F. Maccherozzi, S. S. Dhesi, P. Gambardella, S. Fukami, and H. Ohno, “Spin-orbit torque switching of an antiferromagnetic metallic heterostructure,” Nat. Commun. 11, 5715 (2020). https://doi.org/10.1038/s41467-020-19511-4ADSCrossRefPubMedCentralPubMed

34.

J. Finley and L. Liu, “Spin-orbit-torque efficiency in compensated ferrimagnetic cobalt-terbium alloys,” Phys. Rev. Appl. 6, 54001 (2016). https://doi.org/10.1103/physrevapplied.6.054001ADSCrossRef

35.

N. Roschewsky, Ch.-H. Lambert, and S. Salahuddin, “Spin-orbit torque switching of ultralarge-thickness ferrimagnetic GdFeCo,” Phys. Rev. B 96, 64406 (2017). https://doi.org/10.1103/physrevb.96.064406ADSCrossRef

36.

K. Ueda, M. Mann, P. W. P. De Brouwer, D. Bono, and G. S. D. Beach, “Temperature dependence of spin-orbit torques across the magnetic compensation point in a ferrimagnetic TbCo alloy film,” Phys. Rev. B 96, 64410 (2017). https://doi.org/10.1103/physrevb.96.064410ADSCrossRef

37.

S. Je, J. Rojas-Sánchez, T. H. Pham, P. Vallobra, G. Malinowski, D. Lacour, T. Fache, M.-C. Cyrille, D.-Yu. Kim, S.-B. Choe, M. Belmeguenai, M. Hehn, S. Mangin, G. Gaudin, and O. Boulle, “Spin-orbit torque-induced switching in ferrimagnetic alloys: Experiments and modeling,” Appl. Phys. Lett. 112, 62401 (2018). https://doi.org/10.1063/1.5017738CrossRef

38.

W. Seung Ham, S. Kim, D. Kim, K. Kim, T. Okuno, H. Yoshikawa, A. Tsukamoto, T. Moriyama, and T. Ono, “Temperature dependence of spin-orbit effective fields in Pt/GdFeCo bilayers,” Appl. Phys. Lett. 110, 242405 (2017). https://doi.org/10.1063/1.4985436ADSCrossRef

39.

J. Kim, D. Lee, K.-J. Lee, B.-K. Ju, H. C. Koo, B.‑Ch. Min, and O. Lee, “Spin-orbit torques associated with ferrimagnetic order in Pt/GdFeCo/MgO layers,” Sci. Rep. 8, 6017 (2018). https://doi.org/10.1038/s41598-018-24480-2ADSCrossRefPubMedCentralPubMed

40.

R. Mishra, J. Yu, X. Qiu, M. Motapothula, T. Venkatesan, and H. Yang, “Anomalous current-induced spin torques in ferrimagnets near compensation,” Phys. Rev. Lett. 118, 167201 (2017). https://doi.org/10.1103/physrevlett.118.167201ADSCrossRefPubMed

41.

Yu. Takeuchi, Yu. Yamane, Ju-Yo. Yoon, R. Itoh, B. Jinnai, S. Kanai, J. Ieda, S. Fukami, and H. Ohno, “Chiral-spin rotation of non-collinear antiferromagnet by spin–orbit torque,” Nat. Mater. 20, 1364–1370 (2021). https://doi.org/10.1038/s41563-021-01005-3ADSCrossRefPubMed

42.

G. Q. Yan, S. Li, H. Lu, M. Huang, Yu. Xiao, L. Wernert, J. A. Brock, E. E. Fullerton, H. Chen, H. Wang, and C. R. Du, “Quantum sensing and imaging of spin–orbit-torque-driven spin dynamics in the non-collinear antiferromagnet Mn₃Sn,” Adv. Mater. 34, 2200327 (2022). https://doi.org/10.1002/adma.202200327CrossRef

43.

B. Pal, B. K. Hazra, B. Göbel, J. Jeon, A. K. Pandeya, A. Chakraborty, O. Busch, A. K. Srivastava, H. Deniz, J. M. Taylor, H. Meyerheim, I. Mertig, S.-H. Yang, and S. S. P. Parkin, “Setting of the magnetic structure of chiral kagome antiferromagnets by a seeded spin-orbit torque,” Sci. Adv. 8, eabo5930 (2022). https://doi.org/10.1126/sciadv.abo5930CrossRefPubMedCentralPubMed

44.

A. Aqeel, N. Vlietstra, J. A. Heuver, G. E. W. Bauer, B. J. Noheda, B. J. Van Wees, and T. T. M. Palstra, “Spin-Hall magnetoresistance and spin Seebeck effect in spin-spiral and paramagnetic phases of multiferroic CoCr₂O₄ films,” Phys. Rev. B 92, 224410 (2015). https://doi.org/10.1103/physrevb.92.224410ADSCrossRef

45.

A. Aqeel, N. Vlietstra, A. Roy, M. Mostovoy, B. J. Van Wees, and T. T. M. Palstra, “Electrical detection of spiral spin structures in Pt|Cu₂OSeO₃ heterostructures,” Phys. Rev. B 94, 134418 (2016). https://doi.org/10.1103/physrevb.94.134418ADSCrossRef

46.

A. Aqeel, M. Mostovoy, B. J. Van Wees, and T. T. M. Palstra, “Spin-Hall magnetoresistance in multidomain helical spiral systems,” J. Phys. D: Appl. Phys. 50, 174006 (2017). https://doi.org/10.1088/1361-6463/aa6670ADSCrossRef

47.

S. V. Vonsovskii, Magnetism (Wiley, New York, 1974).

48.

V. V. Ustinov and I. A. Yasyulevich, “Electron spin current and spin-dependent galvanomagnetic phenomena in metals,” Phys. Met. Metallogr. 121, 223–234 (2020). https://doi.org/10.1134/s0031918x20030072ADSCrossRef

49.

V. V. Ustinov and I. A. Yasyulevich, “Electrical magnetochiral effect and kinetic magnetoelectric effect induced by chiral exchange field in helical magnetics,” Phys. Rev. B 102, 134431 (2020). https://doi.org/10.1103/physrevb.102.134431ADSCrossRef

50.

W. Gerlach and O. Stern, “Der experimentelle Nachweis der Richtungsquantelung im Magnetfeld,” Z. Phys. 9, 349–352 (1922). https://doi.org/10.1007/bf01326983ADSCrossRef

51.

I. A. Yasyulevich, N. G. Bebenin, and V. V. Ustinov, “Pure spin current injection into a helimagnet,” J. Exp. Theor. Phys. 136, 509–518 (2023). https://doi.org/10.1134/s1063776123040143ADSCrossRef

52.

T. Furukawa, Yu. Shimokawa, K. Kobayashi, and T. Itou, “Observation of current-induced bulk magnetization in elemental tellurium,” Nat. Commun. 8, 954 (2017). https://doi.org/10.1038/s41467-017-01093-3ADSCrossRefPubMedCentralPubMed

53.

T. Furukawa, Yu. Watanabe, N. Ogasawara, K. Kobayashi, and T. Itou, “Current-induced magnetization caused by crystal chirality in nonmagnetic elemental tellurium,” Phys. Rev. Res. 3, 23111 (2021). https://doi.org/10.1103/physrevresearch.3.023111CrossRef

54.

Yo. Nabei, D. Hirobe, Yu. Shimamoto, K. Shiota, A. Inui, Yu. Kousaka, Yo. Togawa, and H. M. Yamamoto, “Current-induced bulk magnetization of a chiral crystal CrNb₃S₆,” Appl. Phys. Lett. 117, 52408 (2020). https://doi.org/10.1063/5.0017882ADSCrossRef

55.

A. Inui, R. Aoki, Yu. Nishiue, K. Shiota, Yu. Kousaka, H. Shishido, D. Hirobe, M. Suda, J.-I. Ohe, J.‑I. Kishine, H. M. Yamamoto, and Yo. Togawa, “Chirality-Induced Spin-Polarized State of a Chiral Crystal CrNb₃S₆,” Phys. Rev. Lett. 124, 166602 (2020). https://doi.org/10.1103/physrevlett.124.166602ADSCrossRefPubMed

56.

K. Shiota, A. Inui, Yu. Hosaka, R. Amano, Yo. Ōnuki, M. Hedo, T. Nakama, D. Hirobe, J.-I. Ohe, J.‑I. Kishine, H. M. Yamamoto, H. Shishido, and Yo. Togawa, “Chirality-induced spin polarization over macroscopic distances in chiral disilicide crystals,” Phys. Rev. Lett. 127, 126602 (2021). https://doi.org/10.1103/physrevlett.127.126602ADSCrossRefPubMed

57.

H. Shishido, R. Sakai, Yu. Hosaka, and Yo. Togawa, “Detection of chirality-induced spin polarization over millimeters in polycrystalline bulk samples of chiral disilicides NbSi₂ and TaSi₂,” Appl. Phys. Lett. 119, 182403 (2021). https://doi.org/10.1063/5.0074293ADSCrossRef

58.

Yu. Kousaka, T. Sayo, S. Iwasaki, R. Saki, C. Shimada, H. Shishido, and Yo. Togawa, “Chirality-selected crystal growth and spin polarization over centimeters of transition metal disilicide crystals,” Jpn. J. Appl. Phys. 62, 015506 (2023). https://doi.org/10.35848/1347-4065/aca8e2ADSCrossRef

59.

J. Bass and W. P. Pratt, “Spin-diffusion lengths in metals and alloys, and spin-flipping at metal/metal interfaces: An experimentalist’s critical review,” J. Phys.: Condens. Matter 19, 183201 (2007). https://doi.org/10.1088/0953-8984/19/18/183201ADSCrossRef

60.

J. Yu, P. R. Leclair, G. J. Mankey, J. L. Robertson, M. L. Crow, and W. Tian, “Exploring the magnetic phase diagram of dysprosium with neutron diffraction,” Phys. Rev. B 91, 14404 (2015). https://doi.org/10.1103/physrevb.91.014404ADSCrossRef

61.

Yo. Togawa, Yu. Kousaka, K. Inoue, and J. Kishine, “Symmetry, structure, and dynamics of monoaxial chiral magnets,” J. Phys. Soc. Jpn. 85, 112001 (2016). https://doi.org/10.7566/jpsj.85.112001ADSCrossRef

62.

S. Siegfried, A. S. Sukhanov, E. V. Altynbaev, D. Honecker, A. Heinemann, A. V. Tsvyashchenko, and S. V. Grigoriev, “Spin-wave dynamics in the helimagnet FeGe studied by small-angle neutron scattering,” Phys. Rev. B 95, 134415 (2017). https://doi.org/10.1103/physrevb.95.134415ADSCrossRef

63.

A. S. Chernyshov, A. O. Tsokol, A. M. Tishin, K. A. Gschneidner, and V. K. Pecharsky, “Magnetic and magnetocaloric properties and the magnetic phase diagram of single-crystal dysprosium,” Phys. Rev. B 71, 184410 (2005). https://doi.org/10.1103/physrevb.71.184410ADSCrossRef

64.

J. F. Ditusa, S. B. Zhang, K. Yamaura, Y. Xiong, J. C. Prestigiacomo, B. W. Fulfer, P. W. Adams, M. I. Brickson, D. A. Browne, C. Capan, Z. Fisk, and J. Y. Chan, “Magnetic, thermodynamic, and electrical transport properties of the noncentrosymmetric B20 germanides MnGe and CoGe,” Phys. Rev. B 90, 144404 (2014). https://doi.org/10.1103/physrevb.90.144404ADSCrossRef

65.

M. K. Chattopadhyay, P. Arora, and S. B. Roy, “Magnetic properties of the field-induced ferromagnetic state in MnSi,” J. Phys.: Condens. Matter 21, 296003 (2009). https://doi.org/10.1088/0953-8984/21/29/296003CrossRef

66.

T. Miyadai, K. Kikuchi, H. Kondo, S. Sakka, M. Arai, and Yo. Ishikawa, “Magnetic properties of Cr_1/3NbS₂,” J. Phys. Soc. Jpn. 52, 1394–1401 (1983). https://doi.org/10.1143/jpsj.52.1394ADSCrossRef

67.

C. Fang, C. H. Wan, B. S. Yang, J. Y. Qin, B. S. Tao, H. Wu, X. Zhang, X. F. Han, A. Hoffmann, X. M. Liu, and Z. M. Jin, “Determination of spin relaxation times in heavy metals via second-harmonic spin injection magnetoresistance,” Phys. Rev. B 96, 134421 (2017). https://doi.org/10.1103/physrevb.96.134421ADSCrossRef

68.

E. Wigner, “On the quantum correction for thermodynamic equilibrium,” Phys. Rev. 40, 749–759 (1932). https://doi.org/10.1103/physrev.40.749ADSCrossRef

69.

L. P. Lebedev and M. J. Cloud, Tensor Analysis (World Scientific, River Edge, N.J., 2003). https://doi.org/10.1142/5265CrossRef

70.

H. Schade and K. Neemann, Tensor Analysis (De Gruyter, Boston, 2018). https://doi.org/10.1515/9783110404265CrossRef

71.

M. R. Menard and M. B. Walker, “Boundary conditions describing surface relaxation in conduction electron spin resonance,” Can. J. Phys. 52, 61–67 (1974). https://doi.org/10.1139/p74-008ADSCrossRef

Titel: Playing Pure Spin Current in Helimagnets: Toward Chiral Spin-Orbitronics
verfasst von: V. V. Ustinov
I. A. Yasyulevich
N. G. Bebenin
Publikationsdatum: 05.02.2024
Verlag: Pleiades Publishing
Erschienen in: Physics of Metals and Metallography / Ausgabe 14/2023
Print ISSN: 0031-918X
Elektronische ISSN: 1555-6190
DOI: https://doi.org/10.1134/S0031918X23601968

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