Theory of the Fermi Arcs, the Pseudogap, $T_c$ and the Anisotropy in k-space of Cuprate Superconductors

Abstract

The appearance of the Fermi arcs or gapless regions at the nodes of the Fermi surface just above the critical temperature is described through self-consistent calculations in an electronic disordered medium. We develop a model for cuprate superconductors based on an array of Josephson junctions formed by grains of inhomogeneous electronic density derived from a phase separation transition. This approach provides physical insights to the most important properties of these materials like the pseudogap phase as forming by the onset of local (intragrain) superconducting amplitudes and the zero resistivity critical temperature $T_c$ due to phase coherence activated by Josephson coupling. The formation of the Fermi arcs and the dichotomy in k-space follows from the direction dependence of the junctions tunneling current on the d-wave symmetry on the $Cu{O}_2$ planes. We show that this semi-phenomenological approach reproduces also the main future of the cuprates phase diagram.

5 pages 7 figs

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Cited by in corpus (11)

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• A framework for the description of charge order, pseudo and superconducting gap, critical temperature and pairing interaction in cuprate superconductors
• Evidence that cuprate superconductors form an array of nanoscopic Josephson junctions
• Calculations of quantum oscillations in cuprate superconductors considering the pseudogap
• 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
• Charge disorder and variations of $T_c$ in Zn-doped cuprate superconductors
• Generalization of interlayer tunneling models to cuprate superconductors with charge density waves
• Why the superfluid density tracks $T_{\mathrm{c}}$ in cuprate superconductors?