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

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

2011-11-08

arxiv.org/abs/1111.1988v3

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

11 pages, 5 figures

Scientific paper

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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