The paper presents our verification of induction of the superconducting state on a square lattice by the linear electron–phonon interaction for values of the unbalance parameter ($\gamma ={\lambda }_D∕{\lambda }_{ND}$) less than ${\gamma }_C=0.42$. Symbols ${\lambda }_D$ and ${\lambda }_{ND}$ denote the values of the coupling constant in the diagonal and the non-diagonal channel of the self-energy. Calculations were carried out using the Eliashberg equations, in which the order parameter (${\Delta }_{\mathbf{k}}\left(i{\omega }_n\right)$) and the wave function renormalising factor ($Z_{\mathbf{k}}\left(i{\omega }_n\right)$) depend explicitly on the Matsubara frequency (${\omega }_n$) and the wave vector ($\mathbf{k}$). The value of ${\gamma }_C$ in the static boundary (${\Delta }_{\mathbf{k}}\left(i{\omega }_n\right)\to {\Delta }_{\mathbf{k}}\left(i{\omega }_{n=1}\right)$), equal to (0.93), is significantly greater than the obtained limit value of 0.42. Values of the thermodynamic functions of the superconducting state determined for our assumptions are significantly different from the values calculated in accordance with the BCS theory. The results were obtained for the electron–phonon interaction function explicitly dependent on the momentum transfer between electron states.

本文介绍了我们通过线性电子-声子相互作用对不平衡参数（$\gamma ={\lambda }_d∕{\lambda }_{ñd}$） 少于 ${\gamma }_C=0。42$。符号${\lambda }_d$ 和 ${\lambda }_{ñd}$表示自能量的对角和非对角通道中的耦合常数值。使用Eliashberg方程进行计算，其中阶数参数（${\Delta }_{\mathbf{ķ}}\left(\mathrm{一世}{\omega }_{ñ}\right)$）和波函数重新归一化因子（${ž}_{\mathbf{ķ}}\left(\mathrm{一世}{\omega }_{ñ}\right)$）明确取决于松原的频率（${\omega }_{ñ}$）和波向量（$\mathbf{ķ}$）。的价值${\gamma }_C$ 在静态边界（${\Delta }_{\mathbf{ķ}}\left(\mathrm{一世}{\omega }_{ñ}\right)\to {\Delta }_{\mathbf{ķ}}\left(\mathrm{一世}{\omega }_{ñ=\mathrm{1个}}\right)$等于（0.93）的）明显大于获得的极限值0.42。根据我们的假设确定的超导状态的热力学函数值与根据BCS理论计算的值显着不同。电子-声子相互作用函数的结果明确取决于电子态之间的动量传递。