“…For these reasons, the thickness dependence of the critical current density of YBCO films is complicated, and the optimum thickness of the superconducting layer will be different for different conditions of temperature, magnetic field and electric field, depending on the kind of application. Possible causes for the drop in J c that have been reported in the literature include a transition to a-axis orientation, [43][44][45] a loss of in-plane and/or out-of-plane texture, 46,47 a decrease in the number of pinning sites, 48 and a change in the microstructure. 50 Since the HTS deposition takes place at 650-900 °C, the thermal expansion coefficients of the substrates and the HTS films have to match, or else the different contraction of HTS film and substrate on cooling to room or even cryogenic temperature will lead to mechanical stress, which can only be tolerated by the film up to a certain maximum thickness without crack formation.…”