Table 1 Dependence of critical temperatures \(\tilde{T}_{c_i}\), heat capacities \(C_V(\tilde{T}_{c_i}\pm 0)\), and heat capacity jumps \(\Delta\) on the values of \(\tilde{\omega }_i\)
From: A translation invariant bipolaron in the Holstein model and superconductivity
i | 1 | 2 | 3 | 4 | 5 | 6 |
\(\tilde{\omega }_i\) | 0.2 | 1 | 2 | 10 | 15 | 20 |
\(\left. \tilde{T}_{c_i}\right.\) | 5.82 | 14.11 | 20.87 | 53.47 | 68.33 | 81.5 |
\(C_V(\tilde{T}_{c_i}-0)\) | 0.24 | 0.37 | 0.45 | 0.7 | 0.79 | 0.86 |
\(C_V(\tilde{T}_{c_i}+0)\) | 0.17 | 0.23 | 0.25 | 0.32 | 0.33 | 0.34 |
\(\frac{\partial C_V}{\partial \tilde{T}}(\tilde{T}_{c_i}-0)\) | \(5.23\times 10^{-3}\) | \(-0.93\times 10^{-3}\) | \(-2.64\times 10^{-3}\) | \(-4.94\times 10^{-3}\) | \(-5.2\times 10^{-3}\) | \(5.34\times 10^{-3}\) |
\(\frac{\partial C_V}{\partial \tilde{T}}(\tilde{T}_{c_i}+0)\) | \(10.22\times 10^{-3}\) | \(4.72\times 10^{-3}\) | \(3.24\times 10^{-3}\) | \(1.19\times 10^{-3}\) | \(0.89\times 10^{-3}\) | \(0.73\times 10^{-3}\) |
\(\Delta\) | \(5.0\times 10^{-3}\) | \(5.65\times 10^{-3}\) | \(5.88\times 10^{-3}\) | \(6.12\times 10^{-3}\) | \(6.1\times 10^{-3}\) | \(6.06\times 10^{-3}\) |