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Electron Tunneling Excitation of a Coupled Two Impurity System

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Abstract

Kondo effects in individual atoms, molecular magnets or quantum dots have received a lot of attention. Systems with two units, like double quantum dots or two atoms, have also attracted some attention due to the interplay between the possible coupling between the spins of the two components and the Kondo effect of each unit. Moreover, the tunneling spectroscopy across one or several magnetic atoms deposited on a metal surface has also been analyzed and shown to present properties associated with spin-flip processes and Kondo resonances. In this paper we analyze the electron tunneling excitations created in a dimer case, assuming that each unit (atom or quantum well) has spin \(\frac{1}{2}\). In our approach, the basic Hamiltonian includes the spin-metal hybridization as well as the spin-spin interaction; then, its basic properties are analyzed by means of a Green’s function formalism combined with an Equation of Motion method. We present results showing the tunneling differential conductance as a function of the different parameters of the problem and the limits for which spin-flip processes and/or Kondo resonances appear.

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Acknowledgements

ECG acknowledges financial support by CONICET through Grant No. PIP-201101-00621 and U.N.L. through CAI+D grants. FF acknowledges support from the Spanish Ministerio de Economía y Competitividad (MINECO) under project MAT2014-59966-R, and through the ‘María de Maeztu’ Programme for Units of Excellence in R&D (MDM-2014-0377).

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Correspondence to F. Flores .

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Flores, F., Goldberg, E.C. (2018). Electron Tunneling Excitation of a Coupled Two Impurity System. In: Angilella, G., Amovilli, C. (eds) Many-body Approaches at Different Scales. Springer, Cham. https://doi.org/10.1007/978-3-319-72374-7_9

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