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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
\(\frac{\partial C_V}{\partial \tilde{T}}(\tilde{T}_{c_i}-0)\) \(5.23\times 10^{-3}\) \(-0.93\times 10^{-3}\) \(-2.64\times 10^{-3}\) \(-4.94\times 10^{-3}\) \(-5.2\times 10^{-3}\) \(5.34\times 10^{-3}\)
\(\frac{\partial C_V}{\partial \tilde{T}}(\tilde{T}_{c_i}+0)\) \(10.22\times 10^{-3}\) \(4.72\times 10^{-3}\) \(3.24\times 10^{-3}\) \(1.19\times 10^{-3}\) \(0.89\times 10^{-3}\) \(0.73\times 10^{-3}\)
\(\Delta\) \(5.0\times 10^{-3}\) \(5.65\times 10^{-3}\) \(5.88\times 10^{-3}\) \(6.12\times 10^{-3}\) \(6.1\times 10^{-3}\) \(6.06\times 10^{-3}\)