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We derive the large deviation function, which provides the large-time full counting statistics for the charge transfer, in the non-equilibrium steady state of the resonant-level model.
L.S. Levitov and G.B. Lesovik, “Charge distribution in quantum shot noise”, JETP Lett
1993
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L.S. Levitov, “The statistical theory of mesoscopic noise”, in: Quantum Noise in Mesoscopic Physics
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A.-P. Jauho, N. Wingreen and Y. Meir, “Time-dependent transport in interacting and non-interacting resonant-tunnelling model”, Phys. Rev
2006
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B. Doyon, N. Andrei, “Universal aspects of non-equilibrium currents in a quantum dot”, Phys. Rev
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B. Doyon, “New method for studying steady states in quantum impurity problems: the interacting resonant level model”, Phys. Rev. Lett
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Cited alongside, same era.
K. Schonhamer, “Full counting statistics for non-interacting fermions: exact results and the Levitov-Lesovik formula”, Phys. Rev
2007
Cited alongside, same era.
I. Klich, “Full counting statistics: an elementary derivation of Levitov’s formula”, arXiv:cond-mat/0209642
Cited in the paper.
J.E. Avron, S. Bachmann, G.M. Graf and I. Klich, “Fredholm determinants and the statistics of charge transport”, Commun. Math. Phys
2008
Later among the works it cites.
B. Doyon, “The density matrix for quantum impurities out of equilibrium”, lecture notes for the Fifth Capri Spring School on Transport in Nanostructure (5 may 2009), http://tfp1.physik.uni-freiburg.de/Capri09
2009
Later among the works it cites.
M. Esposito, U. Harbola and S. Mukamel, “Nonequilibrium fluctuations, fluctuation theorems and counting statistics in quantum systems”, Rev. Mod. Phys
2009
Later among the works it cites.
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