# Tunable RKKY interaction in a double quantum dot nanoelectromechanical device

## TL;DR

This paper introduces a mechanically tunable RKKY interaction in a double quantum dot device, enabling control of spin coupling through mechanical and electronic modulation, with potential for sensitive spin detection.

## Contribution

It presents a novel method to mechanically tune RKKY interactions in quantum dots using charge density modulation and Stuckelberg oscillations for detection.

## Key findings

- Spin-mechanical coupling can be controlled via charge density modulation.
- Stuckelberg oscillations serve as a sensitive detection tool.
- Theoretical analysis of mechanical back action effects.

## Abstract

We propose a realization of mechanically tunable Ruderman-Kittel-Kasuya-Yosida interaction in a double quantum dot nanoelectromechanical device. The coupling between spins of two quantum dots suspended above a metallic plate is mediated by conduction electrons. We show that the spin-mechanical interaction can be driven by a slow modulation of charge density in the metallic plate. We propose to use Stuckelberg oscillations as a sensitive tool for detection of the spin and charge states of the coupled quantum dots. Theory of mechanical back action induced by a dynamical spin-spin interaction is discussed.