Holographic insulator/superconductor phase transition in higher dimensional Gauss-Bonnet gravity

In this work, we have analytically investigated the insulator/superconductor phase transition in the presence of $d$-dimensional Gauss-Bonnet AdS soliton background. Using the Sturm-Liouville eigenvalue method, we have calculated the value of the critical chemical potential ${\mu }_c$ in any arbitrary dimension $d\ge 5$. We have then studied the condensation operator values and charge density in terms of the chemical potential and discussed the $d=5,6,7$ cases using our general results in $d$ dimensions. Our analytical results agree very well with the numerically findings in the literature.