The effect of electron density fluctuations on critical temperature in layered superconductors with arbitrary thickness of conducting layer

Highlights: • The effect of electron density fluctuations on critical temperature in layered superconductors was investigated. • The influence of thickness of conducting layer in superconducting compounds on the critical temperature T_c was analysed. • Obtained results are applied to $B{i}_{2}S{r}_{2}C{a}_{n-1}C{u}_n{O}_{2n+4+}\delta$ compounds with n = 1,2,3. - Abstract: In this work, we analyse the effect of electron density fluctuations of in layered superconductors on the transition temperature T_c. Primarily, we consider the effect of thickness of conducting layer in modelling of superconducting compounds. It is observed that increasing the thickness of conducting layers increases the transition temperature T_c. Also it is shown that, the fluctuations of electron density has negligible character in the case layers with highly different dielectric constants. Obtained results are applicable to $B{i}_{2}S{r}_{2}C{a}_{n-1}C{u}_n{O}_{2n+4+}\delta$ compounds with n = 1,2,3.