Short Necklace States, Logarithm Transmission Fluctuation and Localization Length

TL;DR

This paper studies short necklace states in random systems, revealing their constant spectral features with system size and their role in understanding localization length and delocalization effects.

Contribution

It introduces a coupled-resonator theory explaining the constant peak properties of short necklace states and their significance in localization phenomena.

Findings

Short necklace states have constant peak width and height regardless of system length.

Short necklace states significantly influence lnT fluctuation.

They provide insight into the physical meaning of localization length.

Abstract

We investigate the widely-existing short necklace states in random systems. It is found that their peak width and relative height in lnT spectra keep almost constant when the system length increases, which is explained by the coupled-resonator theory with intrinsic parameters. This property makes them special in contribution of lnT fluctuation. Further, short necklace states can help us to deeply understand the physical meaning of localization length and the delocalized effectin localized regime.