We investigate nonlinear transport signatures stemming from linear and cubic spin-orbit interactions in one- and two-dimensional systems. The analytical zero-temperature response to external fields is complemented by a finite-temperature numerical analysis, establishing a way to distinguish between linear and cubic spin-orbit interactions. We also propose a protocol to determine the relevant material parameters from transport measurements attainable in realistic conditions, illustrated by values for Ge heterostructures. Our results establish a method for the fast benchmarking of spin-orbit properties in semiconductor nanostructures.

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• Electrical conductivity
• Spin-orbit coupling
• Transport phenomena
• 1-dimensional systems
• 2-dimensional systems
• Nanostructures
• Semiconductors
• Boltzmann theory