  In this paper, we propose a method to understand the nature for the quantum
disorder phase of the two-dimensional (2D) high spin frustrated model. The
ground state and excitation properties of a fully frustrated 2D spin-1 model
are studied based on a model whose groundstate can be found exactly. By analogy
to the pseudo-potential approach in the fractional quantum Hall effect, we
conclude that the ground states of the fully frustrated spin-1 model are doubly
degenerate valance bond solid (VBS) states along the horizontal or vertical
direction of the square lattice. We also find that the ground state could be
characterized by a nonzero string order, which rarely happened in the 2D case.
The method that we used is novel for a 2D spin system and reveals the
connection between the fractional quantum hall effect and the frustrated 2D
antiferromagnetism system. The VBS states capture the main character of the
disordered phase in the 2D spin-1 frustrated system, and can be verified by a
numerical method.
