journal article·2023-10Open access

Time-domain observation of ballistic orbital-angular-momentum currents with giant relaxation length in tungsten

Tom S. Seifert, Dongwook Go, Hiroki Hayashi, Reza Rouzegar, Frank Freimuth, Kazuya Ando, Yuriy Mokrousov, Tobias Kampfrath

Nature Nanotechnology· Volume 18· Issue 10

Abstract

Abstract The emerging field of orbitronics exploits the electron orbital momentum L. Compared to spin-polarized electrons, L may allow the transfer of magnetic information with considerably higher density over longer distances in more materials. However, direct experimental observation of L currents, their extended propagation lengths and their conversion into charge currents has remained challenging. Here, we optically trigger ultrafast angular-momentum transport in Ni|W|SiO2 thin-film stacks. The resulting terahertz charge-current bursts exhibit a marked delay and width that grow linearly with the W thickness. We consistently ascribe these observations to a ballistic L current from Ni through W with a giant decay length (~80 nm) and low velocity (~0.1 nm fs−1). At the W/SiO2 interface, the L flow is efficiently converted into a charge current by the inverse orbital Rashba–Edelstein effect, consistent with ab initio calculations. Our findings establish orbitronic materials with long-distance ballistic L transport as possible candidates for future ultrafast devices and an approach to discriminate Hall-like and Rashba–Edelstein-like conversion processes.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Magnetic properties of thin films · Quantum and electron transport phenomena · Topological Materials and Phenomena

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (61)

Show source-provided references
1. Go, D., Jo, D., Lee, H. W., Klaui, M. & Mokrousov, Y. Orbitronics: orbital currents in solids. EPL 135, 37001 (2021).10.1209/0295-5075/ac2653 ↗
2. Miron, I. M. et al. Perpendicular switching of a single ferromagnetic layer induced by in-plane current injection. Nature 476, 189–193 (2011).10.1038/nature10309 ↗
3. Ji, B. et al. Several key technologies for 6G: challenges and opportunities. IEEE Commun. Stand. Mag. 5, 44–51 (2021).10.1109/MCOMSTD.001.2000038 ↗
4. Schwierz, F. J. & Liou, J. RF transistors: recent developments and roadmap toward terahertz applications. Solid State Electron. 51, 1079–1091 (2007).10.1016/j.sse.2007.05.020 ↗
5. Vedmedenko, E. Y. et al. The 2020 magnetism roadmap. J. Phys. D. Appl. Phys. 53, 453001 (2020).10.1088/1361-6463/ab9d98 ↗
6. Salemi, L., Berritta, M., Nandy, A. K. & Oppeneer, P. M. Orbitally dominated Rashba-Edelstein effect in noncentrosymmetric antiferromagnets. Nat. Commun. 10, 5381 (2019).10.1038/s41467-019-13367-z ↗
7. Johansson, A., Göbel, B., Henk, J., Bibes, M. & Mertig, I. Spin and orbital Edelstein effects in a two-dimensional electron gas: theory and application to SrTiO3 interfaces. Phys. Rev. Res. 3, 013275 (2021).10.1103/PhysRevResearch.3.013275 ↗
8. Bose, A. et al. Detection of long-range orbital-Hall torques. Phys. Rev. B 107, 134423 (2023).10.1103/PhysRevB.107.134423 ↗
9. Hayashi, H. et al. Observation of long-range orbital transport and giant orbital torque. Commun. Phys. 6, 32 (2023).10.1038/s42005-023-01139-7 ↗
10. Zheng, Z. C. et al. Magnetization switching driven by current-induced torque from weakly spin-orbit coupled Zr. Phys. Rev. Res. 2, 013127 (2020).10.1103/PhysRevResearch.2.013127 ↗
11. Kim, J. et al. Nontrivial torque generation by orbital angular momentum injection in ferromagnetic-metal/Cu/Al2O3 trilayers. Phys. Rev. B 103, L020407 (2021).10.1103/PhysRevB.103.L020407 ↗
12. Lee, D. et al. Orbital torque in magnetic bilayers. Nat. Commun. 12, 6710 (2021).10.1038/s41467-021-26650-9 ↗
13. Choi, Y. G. et al. Observation of the orbital Hall effect in a light metal Ti. Nature 619, 52–56 (2023).10.1038/s41586-023-06101-9 ↗
14. Go, D. et al. Long-range orbital torque by momentum-space hotspots. Phys. Rev. Lett. 130, 246701 (2023).10.1103/PhysRevLett.130.246701 ↗
15. An, H., Kageyama, Y., Kanno, Y., Enishi, N. & Ando, K. Spin-torque generator engineered by natural oxidation of Cu. Nat. Commun. 7, 13069 (2016).10.1038/ncomms13069 ↗
16. Seifert, T. S. et al. Femtosecond formation dynamics of the spin Seebeck effect revealed by terahertz spectroscopy. Nat. Commun. 9, 2899 (2018).10.1038/s41467-018-05135-2 ↗
17. Go, D. et al. Theory of current-induced angular momentum transfer dynamics in spin-orbit coupled systems. Phys. Rev. Res. 2, 033401 (2020).10.1103/PhysRevResearch.2.033401 ↗
18. Go, D. & Lee, H. W. Orbital torque: torque generation by orbital current injection. Phys. Rev. Res. 2, 013177 (2020).10.1103/PhysRevResearch.2.013177 ↗
19. Tazaki, Y. et al. Current-induced torque originating from orbital current. Preprint at arXiv https://doi.org/10.48550/arXiv.2004.09165 (2020).10.48550/arXiv.2004.09165 ↗
20. Lee, S. et al. Efficient conversion of orbital Hall current to spin current for spin-orbit torque switching. Commun. Phys. 4, 234 (2021).10.1038/s42005-021-00737-7 ↗
21. Liao, L. et al. Efficient orbital torque in polycrystalline ferromagnetic−metal / Ru / Al2O3 stacks: theory and experiment. Phys. Rev. B 105, 104434 (2022).10.1103/PhysRevB.105.104434 ↗
22. Xiao, Z. Y. et al. Enhancement of torque efficiency and spin Hall angle driven collaboratively by orbital torque and spin-orbit torque. Appl. Phys. Lett. 121, 072404 (2022).10.1063/5.0086125 ↗
23. Sala, G. & Gambardella, P. Giant orbital Hall effect and orbital-to-spin conversion in 3d, 5d, and 4f metallic heterostructures. Phys. Rev. Res. 4, 033037 (2022).10.1103/PhysRevResearch.4.033037 ↗
24. Ding, S. et al. Harnessing orbital-to-spin conversion of interfacial orbital currents for efficient spin-orbit torques. Phys. Rev. Lett. 125, 177201 (2020).10.1103/PhysRevLett.125.177201 ↗
25. Manchon, A. et al. Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems. Rev. Mod. Phys. 91, 035004 (2019).10.1103/RevModPhys.91.035004 ↗
26. Seifert, T. S., Cheng, L., Wei, Z., Kampfrath, T. & Qi, J. Spintronic sources of ultrashort terahertz electromagnetic pulses. Appl. Phys. Lett. 120, 180401 (2022).10.1063/5.0080357 ↗
27. Xu, Y. et al. Inverse orbital Hall effect discovered from light-induced terahertz emission. Preprint at arXiv https://doi.org/10.48550/arXiv.2208.01866 (2022).10.48550/arXiv.2208.01866 ↗
28. Seifert, T. et al. Efficient metallic spintronic emitters of ultrabroadband terahertz radiation. Nat. Photon. 10, 483–488 (2016).10.1038/nphoton.2016.91 ↗
29. Kampfrath, T. et al. Terahertz spin current pulses controlled by magnetic heterostructures. Nat. Nanotechnol. 8, 256–260 (2013).10.1038/nnano.2013.43 ↗
30. Jungfleisch, M. B. et al. Control of terahertz emission by ultrafast spin-charge current conversion at Rashba interfaces. Phys. Rev. Lett. 120, 207207 (2018).10.1103/PhysRevLett.120.207207 ↗
31. Zhou, C. et al. Broadband terahertz generation via the interface inverse Rashba-Edelstein effect. Phys. Rev. Lett. 121, 086801 (2018).10.1103/PhysRevLett.121.086801 ↗
32. Zhang, W. et al. Ultrafast terahertz magnetometry. Nat. Commun. 11, 4247 (2020).10.1038/s41467-020-17935-6 ↗
33. Rouzegar, R. et al. Laser-induced terahertz spin transport in magnetic nanostructures arises from the same force as ultrafast demagnetization. Phys. Rev. B 106, 144427 (2022).10.1103/PhysRevB.106.144427 ↗
34. Lichtenberg, T., Beens, M., Jansen, M. H., Koopmans, B. & Duine, R. A. Probing optically induced spin currents using terahertz spin waves in noncollinear magnetic bilayers. Phys. Rev. B 105, 144416 (2022).10.1103/PhysRevB.105.144416 ↗
35. Mueller, B. Y. & Rethfeld, B. Thermodynamic μT model of ultrafast magnetization dynamics. Phys. Rev. B 90, 144420 (2014).10.1103/PhysRevB.90.144420 ↗
36. Choi, G. M., Min, B. C., Lee, K. J. & Cahill, D. G. Spin current generated by thermally driven ultrafast demagnetization. Nat. Commun. 5, 4334 (2014).10.1038/ncomms5334 ↗
37. Boeglin, C. et al. Distinguishing the ultrafast dynamics of spin and orbital moments in solids. Nature 465, 458–461 (2010).10.1038/nature09070 ↗
38. Stamm, C., Pontius, N., Kachel, T., Wietstruk, M. & Durr, H. A. Femtosecond X-ray absorption spectroscopy of spin and orbital angular momentum in photoexcited Ni films during ultrafast demagnetization. Phys. Rev. B 81, 104425 (2010).10.1103/PhysRevB.81.104425 ↗
39. Hennecke, M. et al. Angular momentum flow during ultrafast demagnetization of a ferrimagnet. Phys. Rev. Lett. 122, 157202 (2019).10.1103/PhysRevLett.122.157202 ↗
40. Salemi, L. & Oppeneer, P. M. First-principles theory of intrinsic spin and orbital Hall and Nernst effects in metallic monoatomic crystals. Phys. Rev. Mater. 6, 095001 (2022).10.1103/PhysRevMaterials.6.095001 ↗
41. Seifert, T. S. et al. Terahertz spectroscopy for all-optical spintronic characterization of the spin-Hall-effect metals Pt, W and Cu80Ir20. J. Phys. D Appl. Phys. 51, 364003 (2018).10.1088/1361-6463/aad536 ↗
42. Huber, R., Brodschelm, A., Tauser, F. & Leitenstorfer, A. Generation and field-resolved detection of femtosecond electromagnetic pulses tunable up to 41 THz. Appl. Phys. Lett. 76, 3191–3193 (2000).10.1063/1.126625 ↗
43. Braun, L. et al. Ultrafast photocurrents at the surface of the three-dimensional topological insulator Bi2Se3. Nat. Commun. 7, 13259 (2016).10.1038/ncomms13259 ↗
44. Gueckstock, O. et al. Terahertz spin-to-charge conversion by interfacial skew scattering in metallic bilayers. Adv. Mater. 33, e2006281 (2021).10.1002/adma.202006281 ↗
45. Tanaka, T. et al. Intrinsic spin Hall effect and orbital Hall effect in 4d and 5d transition metals. Phys. Rev. B 77, 165117 (2008).10.1103/PhysRevB.77.165117 ↗
46. Demasius, K.-U. et al. Enhanced spin–orbit torques by oxygen incorporation in tungsten films. Nat. Commun. 7, 10644 (2016).10.1038/ncomms10644 ↗
47. Ding, S. et al. Observation of the orbital Rashba-Edelstein magnetoresistance. Phys. Rev. Lett. 128, 067201 (2022).10.1103/PhysRevLett.128.067201 ↗
48. Santos, E. et al. Inverse orbital torque via spin-orbital intertwined states. Phys. Rev. Appl. 19, 014069 (2023).10.1103/PhysRevApplied.19.014069 ↗
49. Okano, G., Matsuo, M., Ohnuma, Y., Maekawa, S. & Nozaki, Y. Nonreciprocal spin current generation in surface-oxidized copper films. Phys. Rev. Lett. 122, 217701 (2019).10.1103/PhysRevLett.122.217701 ↗
50. Yoda, T., Yokoyama, T. & Murakami, S. Orbital edelstein effect as a condensed-matter analog of solenoids. Nano Lett. 18, 916–920 (2018).10.1021/acs.nanolett.7b04300 ↗
51. Go, D. et al. Toward surface orbitronics: giant orbital magnetism from the orbital Rashba effect at the surface of sp-metals. Sci. Rep. 7, 46742 (2017).10.1038/srep46742 ↗
52. Huisman, T. J. et al. Femtosecond control of electric currents in metallic ferromagnetic heterostructures. Nat. Nanotechnol. 11, 455–458 (2016).10.1038/nnano.2015.331 ↗
53. Hixson, R. & Winkler, M. A. Thermophysical properties of solid and liquid tungsten. Int. J. Thermophys. 11, 709–718 (1990).10.1007/BF01184339 ↗
54. Wu, Y. et al. High-performance THz emitters based on ferromagnetic/nonmagnetic heterostructures. Adv. Mater. 29, 1603031 (2017).10.1002/adma.201603031 ↗
55. Zhang, S. et al. Bursts of efficient terahertz radiation with saturation effect from metal-based ferromagnetic heterostructures. J. Phys. D Appl. Phys. 51, 034001 (2017).10.1088/1361-6463/aa9e43 ↗
56. Naftaly, M. & Miles, R. E. Terahertz time-domain spectroscopy of silicate glasses and the relationship to material properties. J. Appl. Phys. 102, 043517 (2007).10.1063/1.2771049 ↗
57. Lin, Z., Zhigilei, L. V. & Celli, V. Electron-phonon coupling and electron heat capacity of metals under conditions of strong electron-phonon nonequilibrium. Phys. Rev. B 77, 075133 (2008).10.1103/PhysRevB.77.075133 ↗
58. Ordal, M. A. et al. Optical properties of the metals Al, Co, Cu, Au, Fe, Pb, Ni, Pd, Pt, Ag, Ti, and W in the infrared and far infrared. Appl. Opt. 22, 1099–1119 (1983).10.1364/AO.22.001099 ↗
59. Wimmer, E., Krakauer, H., Weinert, M. & Freeman, A. Full-potential self-consistent linearized-augmented-plane-wave method for calculating the electronic structure of molecules and surfaces: O2 molecule. Phys. Rev. B 24, 864–875 (1981).10.1103/PhysRevB.24.864 ↗
60. Perdew, J. P., Burke, K. & Ernzerhof, M. Generalized gradient approximation made simple. Phys. Rev. Lett. 77, 3865–3868 (1996).10.1103/PhysRevLett.77.3865 ↗
61. Pizzi, G. et al. Wannier90 as a community code: new features and applications. J. Phys. Condens. Matter 32, 165902 (2020).10.1088/1361-648X/ab51ff ↗