Viability of using temperature difference to generate energy on a tidally-locked planet

In Larry Niven's Ringworld, the Outsiders lie with one half of their body in the shade and one half of their body in direct sunlight and use the temperature difference to generate energy. Would this be at all viable on a tidally-locked planet, with one end on the cold half and one end on the hot half, and humans living on or near the terminator, or am I better off sticking to a method like nuclear power?

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Viability of using temperature difference to generate energy on a tidally-locked planet

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