Science Advances

Supplementary Materials

This PDF file includes:

  • section S1. First and second harmonic results on (0001)-oriented Cr2O3 thin film
  • section S2. Comparison of low-temperature and high-temperature results on (0001)-oriented Cr2O3 thin film
  • section S3. Mechanism for the modest enhancement of the nonlocal spin signal at ~60 K
  • section S4. Supporting results on extra samples: 6- and 45-nm (0001)-oriented Cr2O3 films
  • section S5. First and second harmonic results on (1120 )-oriented Cr2O3 thin film
  • section S6. Temperature and spacing dependence of the nonlocal spin transport on (1120 )-oriented Cr2O3 thin film
  • section S7. Magnetic field dependence of the nonlocal spin transport on (0001)-oriented Cr2O3 thin film
  • fig. S1. RHEED and XRD of the (0001)-oriented Cr2O3 thin film (~19 nm) on the (0001)-oriented Al2O3 substrate.
  • fig. S2. RHEED and XRD of the (1120 )-oriented Cr2O3 thin film (~18 nm) on the (1120 )-oriented Al2O3 substrate.
  • fig. S3. The typical optical image of the nonlocal device and the nonlocal measurement.
  • fig. S4. The first and second harmonic nonlocal resistance on the ~19-nm (0001)-oriented Cr2O3 film.
  • fig. S5. The transition from spin transport via spin superfluid to that via thermally generated incoherent magnons.
  • fig. S6. Current dependence of the nonlocal spin transport on the ~19-nm (0001)-oriented Cr2O3 film.
  • fig. S7. The exchange bias between 2-nm Py and the ~19-nm (0001)-oriented film.
  • fig. S8. Thermal conductivity (κ) measured by the 3ω method for the (0001)-oriented Cr2O3 film.
  • fig. S9. The nonlocal spin transport on the ~6-nm (0001)-oriented Cr2O3 film.
  • fig. S10. The nonlocal spin transport on the ~45-nm (0001)-oriented Cr2O3 film.
  • fig. S11. Temperature dependence of the nonlocal spin transport for (0001)-oriented Cr2O3 films with various thicknesses.
  • fig. S12. The first and second harmonic nonlocal resistance on the ~18-nm (1120 )-oriented Cr2O3 film.
  • fig. S13. The nonlocal spin transport on the ~18-nm (1120 )-oriented Cr2O3 film.
  • fig. S14. Current dependence of the nonlocal spin transport on the ~18-nm (1120 )-oriented Cr2O3 film.
  • fig. S15. Magnetic field dependence of nonlocal spin transport on the ~19-nm (0001)-oriented Cr2O3 film.
  • References (35–39)

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