Theory of a.c. spin current noise and spin conductance through a quantum dot in the Kondo regime I: The equilibrium case

Details Theory of a.c. spin current noise and spin conductance through a quantum dot in the Kondo regime I: The equilibrium case Theory of a.c. spin current noise and spin conductance through a quantum dot in the Kondo regime I: The equilibrium case

2011-07-21

arxiv.org/abs/1107.4265v1

Phys. Rev. B 84, 235441 (2011)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

17 pages, 15 figures

Scientific paper

10.1103/PhysRevB.84.235441

We analyze the equilibrium frequency-dependent spin current noise and spin conductance through a quantum dot in the local moment regime. Spin current correlations behave markedly differently from charge correlations. Equilibrium spin correlations are characterized by two universal scaling functions in the absence of an external field: one of them is related to charge correlations, while the other one describes cross-spin correlations. We characterize these functions using a combination of perturbative and non-perturbative methods. We find that at low temperatures spin cross-correlations are suppressed at frequencies below the Kondo scale, $T_K$, and a dynamical spin accumulation resonance is found at the Kondo energy, $\omega \sim T_K$. At higher temperatures, $T>T_K$, surprising low-frequency anomalies related to overall spin conservation appear in the spin noise and spin conductance, and the Korringa rate is shown to play a distinguished role. The transient spin current response also displays universal and singular properties.

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