Diagrammatic technique for frequency-dependent full counting statistics

David Marcos

CSIC, Instituto de Ciencia de Materiales de Madrid (ICMM), Teoria de la Materia Condensada,
Cantoblanco (Madrid), Spain

D. Marcos, C. Emary, T. Brandes, and R. Aguado.

The theory of Full Counting Statistics has recently emerged as a powerful tool to fully characterize correlations in nanoscopic transport problems [1,2]. In the same way, experiments have been reported, and the new information contained in high order current cumulants has become apparent [3]. In this work, we present results for the frequency-dependent second and third currrent cumulants in a single resonant level and a double quantum dot. To this end, we have worked out a physically-interpretable diagrammatic technique, based on the density matrix approach [4] and a projectors method [5], such that only the stationary solution of the problem is needed.

[1] W. Belzig, et al., Phys. Rev. B 71, 161301(R) (2005).
[2] G. Kiesslich, et al., Phys. Rev. B 73, 033312 (2006).
[3] S. Gustavsson et al., Phys. Rev. Lett. 96, 076605 (2006).
[4] D. A. Bagrets and Yu. V. Nazarov, Phys. Rev. B 67, 085316 (2003).
[5] K. W. Becker and P. Fulde, Z. Phys. B 72, 423 (1988).

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