  We propose a modified XY model in which cascade transfer emerges from
spatially local interactions, where the spin corresponds to the "velocity" of a
turbulent field. For this model, we theoretically calculate the scale-to-scale
energy flux and the equal time correlation function in $d$ dimensions. The
result indicates an inverse energy cascade with the non-Kolmogorov energy
spectrum proportional to $k^{-3}$. We also numerically confirm the result for
the cases $d=2$ and $d=3$. We thus conclude that the cascade transfer in our
model represents a different universality class from standard fluid turbulence.
