Emergence of Cooper pairs, d-wave duality and the phase diagram of cuprate superconductors

Abstract

BCS theory describes the formation of Cooper pairs and their instant "Bose condensation" into a superconducting state. Helium atoms are preformed bosons and, in addition to their condensed superfluid state, can also form a quantum solid, lacking phase-coherence. Here we show that the fate of Cooper pairs can be more varied than the BCS or helium paradigms. In copper-oxide d-wave superconductors (dSC) Cooper pairs are intrinsically non-local objects, with both center-of-mass and relative motions. As doping decreases, the center-of mass fluctuations force a correlated dSC into a state with enhanced diamagnetism and robust but short-ranged superconducting order. At extreme underdoping, the relative fluctuations take over and two pseudogaps -- ``small'' (charge) and ``large'' (spin) -- emerge naturally from the theory, as Cooper pairs ``disintegrate'' and charge ``detaches'' from spin-singlet bonds. The ensuing ground state(s) are governed by diagonal (mostly antiferromagnetic) rather than by superconducting (off-diagonal) correlations. The theory is used to account for several recent experiments and to draw general conclusions about the phase diagram.

6 pages + 2 figures

References in corpus (6)

• Scanning tunneling spectroscopy of high-temperature superconductors
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• The Ground State of the Pseudogap in Cuprate Superconductors
• Strongly Correlated Superconductivity: a plaquette Dynamical mean field theory study
• Detecting the quantum zero-point motion of vortices in the cuprate superconductors
• Duality and the vibrational modes of a Cooper-pair Wigner crystal

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• Thermodynamic Properties near the onset of Loop-Current Order in high-$T_c$ superconducting cuprates
• Fermi Arcs in the Superconducting Clustered State for Underdoped Cuprates
• Evolution of superconducting correlations within magnetic-field-decoupled CuO(2) layers of La(1.905)Ba(0.095)CuO(4)
• Stripes and electronic quasiparticles in the pseudogap state of cuprate superconductors
• Boson-Fermion Duality and Metastability in Cuprate Superconductors
• Study of diamagnetic fluctuations in YBa_2Cu_3O_{7-x} and Bi_2Sr_2CaCu_2O_{8+x}: Possible observation of phase correlations persisting above T_c
• Comment on 'Diamagnetism and Cooper pairing above Tc in cuprates'
• The conductivity and the magnetization around Tc in optimally-doped YBa${}_2$Cu${}_3$O${}_{7-\delta }$ revisited: quantitative analysis in terms of fluctuating superconducting pairs
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• New results on the anomalous precursor diamagnetism in the underdoped La1.9Sr0.1CuO4 superconductor
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