  Elements of eigenvectors obtained by exact diagonalization can be considered
as two dimensional lattice sites, in which dynamics of a given initial state is
seen as a percolating procedure on the lattice sites. Then one can use the
percolating procedure to generate a series of fragments of eigenvectors.
Combining the fraction ratio and entanglement entropy dynamics of the generated
fragment we examine the many-body localization transition in a disordered
hard-core bosonic model. It helps us to locate roughly the transition point at
the critical disorder strength $W_c\approx 12\sim13$. The scaling collapse of
the fraction ratios gives us the localization length exponent $\nu\approx2.0$.
