Low energy properties of the Kondo−correlated quantum dots are described by the local Fermi−liquid which is an extension of famous Landau’s Fermi−liquid to impurity systems where the Coulomb interaction works only for electrons in the impurity site. The non−equilibrium Kondo state has been intensively investigated in quantum dots, where non−equilibrium state is finely tuned and investigated by applying small bias−voltages between electric leads connected to the dot. A prominent result from the non−equilibrium Kondo effect is that residual interaction of the Fermi liquid generates quasiparticle pairs with 2e effective charge in nonlinear currents, and the pair can be observed as an enhancement of the shot noise.
We show theory and experiments on Fermi−liquid nature in shot noise measurement in a carbon nanotube quantum dot1−3. Particularly, current and noise due to the Kondo effect in carbon nanotube quantum dot where the local moment constituted of not only spin and but also chiral or orbital degrees of freedom emerges are discussed.
Furthermore, a new entangled−electron−pair generator utilizing the pair creation of the local Fermi−liquid in electric current in a quantum dot device is discussed. It is elucidated that local−Fermi−liquid exchange interaction violates the Clauser−Horne−Shimony−Holt type Bell’s inequality for nonlinear currents through correlated two different channel of a double quantum dot device.

1. Ferrier, RS, et al., Nat. Phys., 12, 230−235 (2016).
2. Y Teratani, RS, et al., J. Phys Soc. Jpn. 85, 094718 (2016).
3. M Ferrier, RS, et al., submitted to PRL.