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Critical Temperature (Tc)

The temperature below which a material exhibits superconductivity, a key characteristic defining the superconducting phase.
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The statement of the theorem

Define the superconducting order parameter Δ(T)\Delta(T) via the BCS gap equation:\n1N(0)V=∫02ωD/(kBT)dϵϵ2−Δ(T)2tanh⁡(ϵ2−Δ(T)22kBT)\frac{1}{N(0)V} = \int_{0}^{2\omega_D/(k_B T)} \frac{d\epsilon}{\sqrt{\epsilon^2 - \Delta(T)^2}} \tanh\left(\frac{\sqrt{\epsilon^2 - \Delta(T)^2}}{2 k_B T}\right) \nThe critical temperature TcT_c is defined as the temperature where the non-trivial solution for the order parameter vanishes, i.e., Δ(Tc)=0\Delta(T_c) = 0.
Source: Wikipedia