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Summary  We study electron mechanical coupling in a suspended carbon nanotube (CNT) quantum dot device. An electron spin couples to the flexural vibration mode because of spin‐orbit coupling in the electron tunneling processes. In the weak coupling limit, ie, electron‐vibration coupling is much smaller than an electron energy scale, the damping and resonant frequency shift of the CNT resonator can be obtained by calculating the dynamical spin susceptibility. We find that strong spin‐flip scattering processes in the Kondo regime significantly affect the mechanical motion of the carbon nanotube: The Kondo effect induces strong damping and frequency shift of the CNT resonator.

Sensing Kondo correlations in a suspended carbon nanotube mechanical resonator with spin‐orbit coupling