Estimation of Cooper pair density and its relation to the critical current density in hole doped high-Tc cuprate superconductors

Abstract

Hole concentration in the CuO2 plane largely controls all the properties in the normal and superconducting states of high-Tc cuprates. The critical current density, Jc, is no exception. Previous hole content dependent studies have demonstrated that the role of intrinsic depairing current density in determining the observed critical current density in copper oxide superconductors. It is also widely agreed upon that the temperature and magnetic field dependent vortex pinning energy plays a major role the Jc of a system.This pinning energy depends directly on the superconducting condensation energy. Superconducting condensation energy, on the other hand, is proportional to the Cooper pair density (superpair density), which is found to be highly dependent on the hole concentration, p, within the CuO2 plane. We have calculated the Cooper pair density, rho_s, of YBCO (Y123), a typical hole doped cuprate, as a function of p, in this study. A triangular pseudogap (PG), pinned at the Fermi level, in the quasiparticle spectral density has been considered. The low-temperature critical current density of a number of Y(Ca)BCO superconductors over wide range of compositions and hole concentrations have been explored. The normalized values of the superpair density and the critical current density exhibit a clear correspondence as the in-plane hole content is varied. This systematic behavior provides us with strong evidence that the critical current density of hole doped cuprates is primarily dependent on the superpair density, which in turn depends on the magnitude of the PG energy.The agreement between the estimated p-dependent superpair density and the previously experimentally determined superfluid density of Y(Ca)BCO is quite remarkable.

arXiv comment17 pages, 4 figures

References in corpus (20)

• Theory of Intertwined Orders in High Temperature Superconductors
• Powerlaw optical conductivity with a constant phase angle in high Tc superconductors
• Anomalous peak in the superconducting condensate density of cuprate high T_{c} superconductors at a unique critical doping state
• Temperature dependence of electrical resistivity of high-Tc cuprates - from pseudogap to overdoped regions
• Photoemission perspective on pseudogap, superconducting fluctuations, and charge order in cuprates: a review of recent progress
• The Doping Phase Diagram of Y1-xcaxba2(Cu1-yzny)3O7-d from Transport Measurements: Tracking the Pseudogap Below Tc (y = 0)
• Superfluid response in monolayer high-Tc cuprates
• Factors affecting the Optimal Design of High-Tc Superconductors - the Pseudogap and Critical Currents
• Isotope Effect in the Superfluid Density of HTS Cuprates: Stripes, Pseudogap and Impurities
• Impurity induced resonant state in a pseudogap state of a high temperature superconductor
• A peak in the critical current for quantum critical superconductors
• Low-temperature critical current of Y1-xCaxBa2Cu3O7-delta thin films as a function of hole content and oxygen deficiency
• Structural and electrical properties of c-axis oriented Y1-xCaxBa2(Cu1-yZny)3O7-delta thin films grown by pulsed laser deposition
• Thermodynamic properties of Bi2Sr2CaCu2O8 calculated from the electronic dispersion
• Effect of Zn substitution on the suppression of Tc of Y1-xCaxBa2(Cu1-yZny)3O7-delta superconductors: pseudogap and the systematic shift of the optimum hole content
• Non-conservation of Density of States in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_y$: Coexistence of Pseudogap and Superconducting gap
• The effect of Zn substitution on the state of oxygen deficiency and hole concentration in Y1-xCaxBa2(Cu1-yZny)3O7-d
• A simple model for in- and out-of-plane resistivities of hole doped cuprates
• Zn-induced in-gap electronic states in La214 probed by uniform magnetic susceptibility: relevance to the suppression of superconducting Tc
• On the pseudogap and doping-dependent magnetic properties of La2-xSrxCu1-yZnyO4