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).
Phong, V. T. et al. Optically controlled orbitronics on a triangular lattice. Phys. Rev. Lett. 123, 236403 (2019).
Bernevig, B. A., Hughes, T. L. & Zhang, S. C. Orbitronics: the intrinsic orbital current in p-doped silicon. Phys. Rev. Lett. 95, 066601 (2005).
Go, D., Jo, D., Lee, H. W., Kläui, M. & Mokrousov, Y. Orbitronics: orbital currents in solids. EPL 135, 37001 (2021).
Zutic, I., Fabian, J. & Das Sarma, S. Spintronics: fundamentals and applications. Rev. Mod. Phys. 76, 323–410 (2004).
Fert, A. Nobel lecture: origin, development, and future of spintronics. Rev. Mod. Phys. 80, 1517–1530 (2008).
Sinova, J., Valenzuela, S. O., Wunderlich, J., Back, C. H. & Jungwirth, T. Spin Hall effects. Rev. Mod. Phys. 87, 1213–1260 (2015).
Go, D., Jo, D., Kim, C. & Lee, H. W. Intrinsic spin and orbital Hall effects from orbital texture. Phys. Rev. Lett. 121, 86602 (2018).
Kontani, H., Tanaka, T., Hirashima, D. S., Yamada, K. & Inoue, J. Giant orbital Hall effect in transition metals: origin of large spin and anomalous Hall effects. Phys. Rev. Lett. 102, 016601 (2009).
Salemi, L., Berritta, M., Nandy, A. K. & Oppeneer, P. M. Orbitally dominated Rashba–Edelstein effect in noncentrosymmetric antiferromagnets. Nat. Commun. 10, 5381 (2019).
Choi, Y. G. et al. Observation of the orbital Hall effect in a light metal Ti. Nature 619, 52–56 (2023).
Ding, S. et al. Observation of the orbital Rashba–Edelstein magnetoresistance. Phys. Rev. Lett. 128, 067201 (2022).
Ding, S. et al. Harnessing orbital-to-spin conversion of interfacial orbital currents for efficient spin–orbit torques. Phys. Rev. Lett. 125, 177201 (2020).
Liao, L. et al. Efficient orbital torque in polycrystalline ferromagnetic-metal/Ru/Al2O3 stacks: theory and experiment. Phys. Rev. B 105, 104434 (2022).
Lyalin, I., Alikhah, S., Berritta, M., Oppeneer, P. M. & Kawakami, R. K. Magneto-optical detection of the orbital Hall effect in chromium. Phys. Rev. Lett. 131, 156702 (2023).
Bose, A. et al. Detection of long-range orbital-Hall torques. Phys. Rev. B 107, 134423 (2023).
Hayashi, H. et al. Observation of long-range orbital transport and giant orbital torque. Commun. Phys. 6, 32 (2023).
Seifert, T. S. et al. Time-domain observation of ballistic orbital-angular-momentum currents with giant relaxation length in tungsten. Nat. Nanotechnol. 18, 1132–1138 (2023).
Mishra, S. S., Lourembam, J., Lin, D. J. X. & Singh, R. Active ballistic orbital transport in Ni/Pt heterostructure. Nat. Commun. 15, 4568 (2024).
Xu, Y. et al. Orbitronics: light-induced orbital currents in Ni studied by terahertz emission experiments. Nat. Commun. 15, 2043 (2024).
Xu, R. et al. Terahertz generation via the inverse orbital Rashba–Edelstein effect at the Ni/CuOx interface. Phys. Rev. Res. 7, L012042 (2025).
Go, D. et al. Long-range orbital torque by momentum-space hotspots. Phys. Rev. Lett. 130, 246701 (2023).
Urazhdin, S. Symmetry constraints on orbital transport in solids. Phys. Rev. B 108, L180404 (2023).
Belashchenko, K. D. et al. Breakdown of the drift–diffusion model for transverse spin transport in a disordered Pt film. Phys. Rev. B 108, 144433 (2023).
Rang, M. & Kelly, P. J. Orbital relaxation length from first-principles scattering calculations. Phys. Rev. B 109, 214427 (2024).
Zheng, Z. C. et al. Magnetization switching driven by current-induced torque from weakly spin–orbit coupled Zr. Phys. Rev. Res. 2, 013127 (2020).
Boeglin, C. et al. Distinguishing the ultrafast dynamics of spin and orbital moments in solids. Nature 465, 458–461 (2010).
Idrobo, J. C. et al. Direct observation of nanometer-scale orbital angular momentum accumulation. Preprint at (2025).
Lee, S. et al. Efficient conversion of orbital Hall current to spin current for spin–orbit torque switching. Commun. Phys. 4, 234 (2021).
Lee, D. et al. Orbital torque in magnetic bilayers. Nat. Commun. 12, 6710 (2021).
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).
Go, D., Lee, H. W., Oppeneer, P. M., Blügel, S. & Mokrousov, Y. First-principles calculation of orbital Hall effect by Wannier interpolation: role of orbital dependence of the anomalous position. Phys. Rev. B 109, 174435 (2024).
Kampfrath, T. et al. Terahertz spin current pulses controlled by magnetic heterostructures. Nat. Nanotechnol. 8, 256–260 (2013).
Yang, D. et al. Powerful and tunable THz emitters based on the Fe/Pt magnetic heterostructure. Adv. Opt. Mater. 4, 1944–1949 (2016).
Seifert, T. et al. Efficient metallic spintronic emitters of ultrabroadband terahertz radiation. Nat. Photon. 10, 483–488 (2016).
Torosyan, G., Keller, S., Scheuer, L., Beigang, R. & Papaioannou, E. T. Optimized spintronic terahertz emitters based on epitaxial grown Fe/Pt layer structures. Sci. Rep. 8, 1311 (2018).
Jungfleisch, M. B. et al. Control of terahertz emission by ultrafast spin–charge current conversion at Rashba interfaces. Phys. Rev. Lett. 120, 207207 (2018).
Zhou, C. et al. Broadband terahertz generation via the interface inverse Rashba–Edelstein effect. Phys. Rev. Lett. 121, 086801 (2018).
Zhang, S. et al. Nonrelativistic and nonmagnetic terahertz-wave generation via ultrafast current control in anisotropic conductive heterostructures. Adv. Photon. 5, 056006 (2023).
Ning, X. et al. Orbital diffusion, polarization, and swapping in centrosymmetric metals. Phys. Rev. Lett. 134, 026303 (2025).
Zhang, Q. et al. Terahertz emission from anomalous Hall effect in a single-layer ferromagnet. Phys. Rev. Appl. 12, 054027 (2019).
Zhang, W. et al. Ultrafast terahertz magnetometry. Nat. Commun. 11, 4247 (2020).
Beaurepaire, E. et al. Coherent terahertz emission from ferromagnetic films excited by femtosecond laser pulses. Appl. Phys. Lett. 84, 3465–3467 (2004).
Veneri, A., Rappoport, T. G. & Ferreira, A. Extrinsic orbital Hall effect: orbital skew scattering and crossover between diffusive and intrinsic orbital transport. Phys. Rev. Lett. 134, 136201 (2025).
Liu, H. & Culcer, D. Dominance of extrinsic scattering mechanisms in the orbital Hall effect: graphene, transition metal dichalcogenides, and topological antiferromagnets. Phys. Rev. Lett. 132, 186302 (2024).
Tang, P. & Bauer, G. E. W. Role of disorder in the intrinsic orbital Hall effect. Phys. Rev. Lett. 133, 186302 (2024).
Liu, Q. & Zhu, L. Absence of orbital current torque in Ta/ferromagnet bilayers. Nat. Commun. 16, 8660 (2025).
Dewhurst, J. K., Shallcross, S., Gross, E. K. U. & Sharma, S. Substrate-controlled ultrafast spin injection and demagnetization. Phys. Rev. Appl. 10, 044065 (2018).
Feng, Z. et al. Anomalous Nernst effect induced terahertz emission in a single ferromagnetic film. Nano Lett. 23, 8171–8179 (2023).
Malinowski, G. et al. Control of speed and efficiency of ultrafast demagnetization by direct transfer of spin angular momentum. Nat. Phys. 4, 855–858 (2008).
Bass, J. & Pratt, W. P. 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).
Lu, W. T. & Yuan, Z. Spin accumulation and dissipation excited by an ultrafast laser pulse. Phys. Rev. B 104, 214404 (2021).
Levchuk, A. et al. Pump wavelength-dependent terahertz spin-to-charge conversion in CoFeB/MgO Rashba interface. Appl. Phys. Lett. 123, 012407 (2023).
Tao, Z. Data for the publication “Terahertz Emission Spectroscopy Evidences Sub-Nanometer Orbital Diffusion Lengths in Heavy Metals” published in Nature Nanotechnology (2026). The datasets are provided for Figures 2- 5. Zenodo (2026).

