Description of the Oxygen Order evolution and its relation to the Superconducting Transition in $La_2CuO_{4+y}$

摘要

The segregation of oxygen in the high critical temperature cupratesuperconductor $La_2CuO_{4+y}$ has been systematically studied along the years.In a recent set of experiments, Poccia et al related, for the first time, timeordering ($t$) of oxygen interstitials with the corresponding superconductingtransition temperature $T_c(t)$. We develop a phenomenological description ofthe time ordering forming pattern domains and show how it may affect thesuperconducting interaction. The superconducting self-consistent calculationsin a system with electronic granular structure of varying hole doping yieldsalso different local d-wave amplitudes. These amplitudes are of the order ofmagnitude of scanning tunneling microscopy measurements and they vanish at$T^*(t)> T_c(t)$. Then, calculations with Josephson coupling among the isolatedcharge domains reveal that the superconducting interaction is likely to bescaled by the local free energy and capture the details of $T_c(t)$. Theaccurately reproduction of these apparently disconnected phenomena establishesroutes to the important physical mechanisms involved in the connection betweensample production and on the origin of the superconductivity of cuprates.