Charge segregation model for superconducting correlations in cuprates above $T_c$

Abstract

We present a theoretical framework for understanding recent transverse field muon spin rotation (TF-$\mu$SR) experiments on cuprate superconductors in terms of localized regions of phase-coherent pairing correlations above the bulk superconducting transition temperature $T_c$. The local regions of phase coherence are associated with a tendency toward charge ordering, a phenomenon found recently in hole-doped cuprates. We simulate the appearance of these regions by a conserved order parameter dynamics, and perform self-consistent superconducting calculations using the Bogoliubov-deGennes method. Within this context we explore two possible scenarios: (i) The magnetic field is diamagnetically screened by the sum of varying shielding currents of isolated small-sized superconducting domains. (ii) These domains become increasingly correlated by Josephson coupling as the temperature is lowered and the main response to the applied magnetic field is from the sum of all varying tunneling currents. The results indicate that these two approaches may be used to simulate the TF-$\mu$SR data but case (ii) yields better agreement.

arXiv comment10 pages, 11 figures

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• The Ba${}_{0.6}$K${}_{0.4}$Fe${}_2$As${}_2$ superconducting four-gap temperature evolution: a multi-band Chebyshev-BdG approach
• The role of the pseudogap in cuprate superconductors revealed by the Hall effect
• Unified model of the Hall effect from insulator to overdoped compounds in cuprate superconductors
• Generalization of interlayer tunneling models to cuprate superconductors with charge density waves