Science Advances

Supplementary Materials

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  • Supplementary Text
  • fig. S1. Yb 3d and Al 1s core level spectrum of α-YbAlB4.
  • fig. S2. Yb 3d core level fitting for HAXPES data.
  • fig. S3. Temperature dependence of the magnetic susceptibility obtained under a field of 0.1 T along the c axis for x = 0, 1.0, 1.4, and 1.7% and along the ab plane for x = 0 and 4.2%.
  • fig. S4. Temperature dependence of the inverse magnetic susceptibility obtained under a field of 0.1 T along the c axis for x = 0, 1.0, 1.4, 1.7, and 4.2%.
  • fig. S5. Fe density dependence of the lattice constant and its relation to the Yb valence change.
  • fig. S6. Normalized powder x-ray diffraction data at around 400 peak for α-YbAl1−xFexB4 (x = 0.5, 1.3, 1.4, 1.7, and 2.2%), where the intensity and the scattering angle 2θ are normalized by those values at the main peak.
  • fig. S7. Electron diffraction patterns of x = 0 for 001 direction at 300 and 14 K
    (top) and for 010 direction at 300 and 13 K (bottom).
  • fig. S8. Electron diffraction patterns of x = 4.2% for 001 direction at 300 and 14 K (top) and for 3-10 direction at 300 and 13 K (bottom).
  • fig. S9. The temperature dependence of the specific heat C divided by temperature T obtained at x = 0 and 1.4%.
  • fig. S10. Anomalous power law temperature dependence of the a-axis resistivity at the zero-field quantum valence criticality and the field-induced antiferromagnetic instability.
  • References (41–49)

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