  We analytically investigate the phase transition between the holographic
insulator and superconductor with Weyl corrections by using the variational
method for the Sturm-Liouville eigenvalue problem. We find that similar to the
curvature corrections, in p-wave model, the higher Weyl couplings make the
insulator/superconductor phase transition harder to occur. However, in s-wave
case the Weyl corrections do not influence the critical chemical potential,
which is in contrast to the effect caused by the curvature corrections.
Moreover, we observe that the Weyl corrections will not affect the critical
phenomena and the critical exponent of the system always takes the mean-field
value in both models. Our analytic results are found to be in good agreement
with the numerical findings.
