  We investigate localization properties of electron eigenstates in
one-dimensional (1d) systems with long-range correlated diagonal disorder.
Numerical studies on the localization length $\xi$ of eigenstates demonstrate
the existence of the localization-delocalization transition in 1d systems and
elucidate non-trivial behavior of $\xi$ as a function of the disorder strength.
The critical exponent $\nu$ for localization length is extracted for various
values of parameters characterizing the disorder, revealing that every $\nu$
disobeys the Harris criterion $\nu > 2/d$.
