Finite-frequency-dependent noise of a quantum dot in a magnetic field

Abstract: We present a detailed study for the finite-frequency current noise of a Kondo quantum dot in presence of a magnetic field by using a recently developed real time functional renormalization group approach [Phys. Rev. B $\mathbf{83}$, 201303(R) (2011)]. The scaling equations are modified in an external magnetic field; the couplings and non-local current vertices become strongly anisotropic, and develop new singularities. Consequently, in addition to the natural emission threshold frequency, $\hbar\omega = |eV|$, a corresponding singular behavior is found to emerge in the noise spectrum at frequencies $\hbar \omega \approx |eV\pm B|$. The predicted singularities are measurable with present-day experimental techniques.