Science Advances

Supplementary Materials

This PDF file includes:

  • Section S1. Determination of the magnetic phase diagram for MnSi thin plates
  • Section S2. Relationship between the nonreciprocal nonlinear Hall effect and second-harmonic resistivity
  • Section S3. Current dependence of the nonlinear Hall effect measured by using square-wave current
  • Section S4. Frequency dependence of skyrmion velocity
  • Section S5. Calculation of nonreciprocal nonlinear Hall responses to AC
  • Section S6. Calculation of current-induced dynamics of a single skyrmion string
  • Fig. S1. Functional forms of the dimensionless functions fb(λ) and fe(λ).
  • Fig. S2. Temperature dependence of longitudinal resistivity and magnetic field dependence of planar Hall resistivity.
  • Fig. S3. Current dependence of the nonreciprocal nonlinear Hall effect measured by using square-wave current.
  • Fig. S4. Frequency dependence of skyrmion velocity.
  • References (3234)

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