Emittance fluctuation of mesoscopic conductors in the presence of disorders

Abstract

We report the investigation of the dynamic conductance fluctuation of disordered mesoscopic conductors including 1D, 2D and quantum dot systems. Our numerical results show that in the quasi-ballistic regime the average emittance is negative indicating the expected inductive-like behavior. However, in the diffusive and localized regime, the average emittance is still negative. This disagrees qualitatively with the result obtained from the random matrix theory. Our analysis suggests that this counter-intuitive result is due to the appearance of non-diffusive elements in the system, the necklace states (or the precursor of necklace states in the diffusive regime) whose existence has been confirmed experimentally in an optical system.

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Cited by in corpus (4)

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• The statistics of Wigner delay time in Anderson disordered systems
• Statistical properties of electrochemical capacitance in disordered mesoscopic capacitors
• A re-formulization of the transfer matrix method for calculating wave-functions in higher dimensional disordered open systems