| Density wave state is an interesting phenomenon in anisotropic materials and some of these materials are superconductors at low temperatures,like Cr-based superconductors in 2015.Accord-ing to Fermi surface by DFT calculation,we use a two-band model to explain superconductivity in quasi-one-dimensional Cr-based materials.This model content one dimensional band and three dimensional band,density wave fluctuation in one dimensional band will induce an effective inter-action in three-dimensional band.We study the effect of one dimensional density wave fluctuation and deformation of one dimensional Fermi surface in this superconductivity.We use Tomonaga-Luttinger Liquids model to describe properties of one dimensional band and use self-consistent Eliashberg equations to calculate superconducting gaps in three dimensional band numerically,then we study the optimum solution in gap function with various interacting parameters. |