Cross-nonlinear responses to an electric current and a temperature gradient have been investigated in a superconducting MoGe film attached to a ferrimagnetic insulator ${\mathrm{Y}}_3{\mathrm{Fe}}_5{\mathrm{O}}_{12}$. We found that the MoGe film generates an electric voltage proportional to both the applied electric current and temperature gradient in the superconducting vortex-liquid phase of the MoGe. The observed cross-nonlinear voltage can be attributed to the motion of vortex strings that sense the difference in magnetic environment between the top and bottom surfaces of the MoGe film on the ${\mathrm{Y}}_3{\mathrm{Fe}}_5{\mathrm{O}}_{12}$. The effect demonstrated here expands the scope of thermoelectric physics in low-symmetry materials.

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• Electrical conductivity
• Thermoelectric effects
• Transport phenomena
• Magnetic insulators
• Superconductors
• Resistivity measurements