A framework for the description of charge order, pseudo and superconducting gap, critical temperature and pairing interaction in cuprate superconductors

Abstract

A unified phenomenological description framework is proposed for the evaluation of some of the most important observables of the cuprate superconductors: the pseudogap (PG) ${\Delta }_{\mathrm{PG}}$, the local superconducting amplitudes ${\Delta }_{\mathrm{SC}}(r_i)$, the critical temperature $T_{\mathrm{c}}$ and charge ordering (CO) parameters. Recently detailed measurements of CO structures and CO wavelengths ${\lambda }_{\mathrm{CO}}$ are faithfully reproduced by solutions of a Cahn-Hilliard differential equation with a free energy potential $V_{\mathrm{GL}}$ that produces alternating small charge modulations. The charge oscillations induce atomic fluctuations that mediate the SC pair interaction proportional to the $V_{\mathrm{GL}}$ amplitude. The local SC amplitude and phase ${\theta }_i$ are connected by Josephson coupling $E_{\mathrm{J}}(r_{\mathrm{ij}})$ and the SC long-range order transition occurs when $⟨E_{\mathrm{J}}⟩\sim k_{\mathrm{B}}{T}_{\mathrm{c}}$. The calculated results of the wavelength ${\lambda }_{\mathrm{CO}}$, ${\Delta }_{\mathrm{PG}}$, $⟨{\Delta }_{\mathrm{SC}}⟩$ and $T_{\mathrm{c}}$ calculations are in good agreement with a variety of experiments.

5 pages, 5 figures

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Cited by in corpus (4)

• Evidence that cuprate superconductors form an array of nanoscopic Josephson junctions
• Unified model of the Hall effect from insulator to overdoped compounds in cuprate superconductors
• The role of the pseudogap in cuprate superconductors revealed by the Hall effect
• Generalization of interlayer tunneling models to cuprate superconductors with charge density waves