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Defining the effective temperature of a quantum driven system from current-current correlation functions

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Abstract

We calculate current-current correlation functions and find an expression for the zero-frequency noise of multiterminal systems driven by harmonically time-dependent voltages within the Keldysh non-equilibrium Green’s functions formalism. We also propose a fluctuation-dissipation relation for current-current correlation functions to define an effective temperature. We discuss the behavior of this temperature and compare it with the local temperature determined by a thermometer and with the effective temperature defined from a single-particle fluctuation-dissipation relation. We show that for low frequencies all the definitions of the temperature coincide.

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Authors and Affiliations

  1. Departamento de Física, FCEyN, Universidad de Buenos Aires, Pabellón 1, Ciudad Universitaria, 1428, Buenos Aires, Argentina

    A. Caso, L. Arrachea & G. S. Lozano

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  1. A. Caso
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  2. L. Arrachea
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  3. G. S. Lozano
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Correspondence to L. Arrachea.

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Caso, A., Arrachea, L. & Lozano, G.S. Defining the effective temperature of a quantum driven system from current-current correlation functions. Eur. Phys. J. B 85, 266 (2012). https://doi.org/10.1140/epjb/e2012-30303-0

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