  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.
