Condensation energy in the spin-fermion model for cuprates
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abstract
We use the Scalapino-White relation between the condensation energy and the difference between the dynamical structure factor in the normal and the superconducting states to compute the condensation energy in the spin-fermion model. We show that at strong coupling, the extra low-frequency spectral weight associated with the resonance peak in the dynamical structure factor in a superconductor is compensated only at energies $sim J$ which are much larger than the superconducting gap $Delta$. We argue that in this situation, the condensation energy is large and well accounts for the data for cuprates.