Quantum-critical superconductivity in underdoped cuprates

Abstract

We argue that the pseudogap phase may be an attribute of the non-BCS pairing of quantum-critical, diffusive fermions near the antiferromagnetic quantum critical point. We derive and solve a set of three coupled Eliashberg-type equations for spin-mediated pairing and show that in some $T$ range below the pairing instability, there is no feedback from superconductivity on fermionic excitations, and fermions remain diffusive despite of the pairing. We conject that in this regime, fluctuations of the pairing gap destroy the superconducting condensate but preserve the leading edge gap in the fermionic spectral function.

5 pages, 3 figures

References in corpus (5)

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• A relation between the resonance neutron peak and ARPES data in cuprates
• Charge order, superconductivity, and a global phase diagram of doped antiferromagnets
• Spin-fermion model near the quantum critical point: one-loop renormalization group results
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