Time-dependent theory of non-linear response and current fluctuations

Details Time-dependent theory of non-linear response and current fluctuations Time-dependent theory of non-linear response and current fluctuations

2009-08-31

arxiv.org/abs/0908.4382v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, 1 figure

Scientific paper

A general non-linear response theory is derived for an arbitrary time-dependent Hamiltonian, not necessarily obeying time-reversal symmetry. This allows us to obtain a greatly generalized Kubo type formula. Applied to a mesoscopic system with any type of interactions, and coupled to multiple probes and gates with arbitrarily time-dependent voltages, we derive current-conserving differential conductance and current fluctuation matrices obeying a generalized Fluctuation-Dissipation Theorem. This relation provides a common explanation for asymmetries of the excess noise in several non-linear mesoscopic systems, as well as of its surprising negative sign.

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