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

## TL;DR

This paper investigates how Kondo correlations influence the mechanical vibrations of a suspended carbon nanotube quantum dot, revealing that strong spin-flip scattering in the Kondo regime significantly affects damping and frequency shifts.

## Contribution

It introduces a method to analyze electron-mechanical coupling in CNTs considering spin-orbit effects and Kondo correlations, highlighting their impact on resonator dynamics.

## Key findings

- Kondo effect causes significant damping of the CNT resonator
- Kondo correlations induce notable frequency shifts
- Spin-flip scattering processes are crucial in the strong coupling regime

## Abstract

We study electron mechanical coupling in a suspended carbon nanotube (CNT) quantum dot device. Electron spin couples to the flexural vibration mode due to spin-orbit coupling in the electron tunneling processes. In the weak coupling limit, i.e. electron-vibration coupling is much smaller than the 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 Kondo regime significantly affect the mechanical motion of the carbon nanotube: Kondo effect induces strong damping and frequency shift of the CNT resonator.