Figure 1

Eliashberg functions in ${\mathrm{MgB}}_2$. (a) The fully averaged isotropic Eliashberg function. (b) The subset averages of the Eliashberg function. Two lines are offset for clarity.Reuse & Permissions

Figure 2

Results of the two-band model. (a) Mean values of the superconducting energy gap within the $\sigma$ and $\pi$ sheets as a function of temperature. Solid lines are the results of the two-band model, while dotted lines, drawn for comparison, are the results of the fully anisotropic Eliashberg theory. (b) Electronic contribution to the specific heat as a function of temperature. The solid line is the result of the two-band model, while the dotted line, drawn for comparison, is the result of the fully anisotropic Eliashberg theory.Reuse & Permissions

Figure 3

Results of the second-order-corrected two-band model. (a) Distribution of the superconducting energy gap on the Fermi surface. The values of the momentum-dependent superconducting energy gap at $T=4\mathrm{K}$ obtained from the second-order-corrected two-band model are plotted in a gray scale given in (b). (b) Distribution of the superconducting energy gap at various temperatures. (c) Mean values of the superconducting energy gap within the $\sigma$ and $\pi$ sheets as a function of temperature. Solid lines are the results of the two-band model with the second-order corrections, while dotted lines, drawn for comparison, are the results of the fully anisotropic Eliashberg theory. The solid and dotted lines coincide with negligible difference. (d) Electronic contribution to the specific heat as a function of temperature. The solid line is the result of the two-band model with the second-order corrections, while the dotted line, drawn for comparison, is the result of the fully anisotropic Eliashberg theory. The solid and dotted lines coincide with negligible difference.Reuse & Permissions