In this paper, a general formalism for transient current-current correlations and transient noise spectra is presented for noninteracting nanostructures. The exact solution of transient current correlations in both the time and the frequency domains are explicitly carried out for a single-level quantum dot system. We investigate transient current-current correlations with different bias voltages at different finite temperatures, without taking the wide-band limit. Transient noise spectra over the whole frequency range are presented and the corresponding steady-state limit is also reproduced. From transient current-current correlations and noise spectra, we analyze the frequency-dependence of electron transport for the system evolving far away from equilibrium to the steady state. Various time scales associated with the energy structures of the nanosystem are manifested through the transient current-current correlations and transient noise spectra.
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Yang et al. (2014) studied this question.
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