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Article Dans Une Revue Communications in Mathematical Physics Année : 2014

On the steady state correlation functions of open interacting systems

Résumé

We address the existence of steady state Green-Keldysh correlation functions of interacting fermions
in mesoscopic systems for both the partitioning and partition-free scenarios. Under some spectral assumptions on the non-interacting model and for sufficiently small interaction strength, we show that the system evolves to a NESS which does not depend on the profile of the time-dependent coupling strength/bias. For the partitioned setting we also show that the steady state is independent of the initial state of the inner sample. Closed formulae for the NESS two-point correlation functions (Green-Keldysh functions), in the form of a convergent expansion, are derived. In the partitioning approach, we show that the 0th order term in the interaction strength of the charge current leads to the Landauer-Büttiker formula, while the 1st order correction contains the mean-field (Hartree-Fock) results.
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Dates et versions

hal-00823950 , version 1 (19-05-2013)

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Horia D. Cornean, Valeriu Moldoveanu, Claude-Alain Pillet. On the steady state correlation functions of open interacting systems. Communications in Mathematical Physics, 2014, 331 (1), pp.261-295. ⟨10.1007/s00220-014-1925-0⟩. ⟨hal-00823950⟩
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