Emittance fluctuation of mesoscopic conductors in the presence of disorders

TL;DR

This paper investigates the dynamic conductance fluctuations in disordered mesoscopic conductors across different regimes, revealing unexpected negative emittance in regimes where theory predicts otherwise, due to non-diffusive states.

Contribution

It provides numerical evidence that challenges existing random matrix theory predictions by demonstrating negative emittance in diffusive and localized regimes caused by necklace states.

Findings

Average emittance is negative in quasi-ballistic regime.

Negative emittance persists in diffusive and localized regimes.

Non-diffusive necklace states influence conductance fluctuations.

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.