  It has been conjectured that the two-dimensional N=2 Wess-Zumino model with a
quasi-homogeneous superpotential provides the Landau-Ginzburg description of
the N=2 superconformal minimal models. For the cubic superpotential W=(lambda)
Phi^3/3, it is expected that the Wess-Zumino model describes A_{2} model and
the chiral superfield Phi shows the conformal weight (h,bar{h})=(1/6,1/6) at
the IR fixed point. We study this conjecture by a lattice simulation,
extracting the weight from the finite volume scaling of the susceptibility of
the scalar component in Phi. We adopt a lattice model with the overlap fermion,
which possesses a Nicolai map and a discrete R-symmetry. We set a(lambda)=0.3
and generate the scalar field configurations by solving the Nicolai map on L
times L lattices in the range L=18 - 32. To solve the map, we use the
Newton-Raphson algorithm with various initial configurations. The result is
1-h-bar{h}=0.660 \pm0.011, which is consistent with the conjecture within the
statistical error, while a systematic error is estimated as less than 0.5 %.
