Gauss–Bonnet holographic superconductors in lower dimensions

We disclose the effects of Gauss–Bonnet gravity on properties holographic s-wave and p-wave superconductors, with higher-order corrections, in lower-dimensional spacetime. employ shooting method to solve equations motion numerically obtain effect different values mass, nonlinear gauge field parameters critical temperature condensation. Based our results, increasing each these three leads lower temperatures larger This phenomenon is rooted fact that conductor/superconductor phase transition faces difficulty for higher terms presence a massive field. In addition, we study electrical conductivity setup. four dimension, real imaginary parts s- models behave similarly follow same trend as dimensions by showing delta function divergence behavior at low-frequency regime Kramers–Kronig relation can connect two other. observe appearance gap energy $$\omega _{\mathrm{g}}\approx 8T_{\mathrm{c}}$$ which shifts toward frequencies diminishing terms. Conductivity far from other dimensions. Even modes pursue various trends. For example \rightarrow 0$$ limit, part model tends infinity but approaches zero. However, both show behavior. general, all cases tend constant value \infty $$ regime.