Specific heat of high temperature superconductors: Role of $\mid ψ\mid^{4}$ term in Ginzburg--Landau free energy

Abstract

We have derived the expression for the specific heat by using Ginzburg-Landau (GL) theory by taking $\mid ψ\mid^{4}$ into account in the Hartree approximation. Without this term, the specific heat diverges at $T=T_{c}(B)$. It is also shown that width and shape of the transition depends on the value of $α$ and $β$, the coefficients in the GL free energy.