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

E V L de Mello¹

¹Instituto de Física, Universidade Federal Fluminense, 24210-346 Niterói, RJ, Brazil.

Journal of Physics. Condensed Matter : an Institute of Physics Journal

|June 25, 2020

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) Δ_PG, the local superconducting amplitudes Δ_SC(r_i), the critical temperatureT_cand charge ordering (CO) parameters. Recent detailed measurements of CO structures and CO wavelengthsλ_COare faithfully reproduced by solutions of a Cahn-Hilliard differential equation with a free energy potentialV_GLthat produces alternating small charge modulations. The charge oscillations induce atomic fluctuations that mediate the SC pair interaction proportional to theV_GLamplitude. The local SC amplitude and phaseθ_iare connected by Josephson couplingE_J(r_ij) and the SC long-range order transition occurs whenEJ∼kBTc. The calculated results of the wavelengthλ_CO, Δ_PG,ΔSCandT_ccalculations are in good agreement with a variety of experiments.

Keywords:

Bogoliubov–deGennes theory Cahn–Hilliard theory of phase separation Landau free energy charge ordering cuprate superconductors psudogap superconducting critical temperature

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