The large superconducting critical current (I
c) in superconductors is an important property for applications,
but unfortunately, it is easily suppressed in the presence of a magnetic
field. The stronger the magnetic field the lower the I
c is the common response of superconductors. In this paper,
we discovered a phenomenon that the I
c can be enhanced by a field-cooled process for the La0.67Sr0.33MnO3 (LSMO)/YBa2Cu3O7−δ (YBCO)/La0.67Sr0.33MnO3 (LSMO) trilayer system, in which the high-T
c-superconductor/oxide-ferromagnetic interface
plays a crucial role. Three major factors based on a singlet superconducting
picture, such as the difference in the work functions, the orbital
hybridization, and the magnetic coupling between the induced Cu and
Mn moments at the interface, decide the charge transfer and the capability
of carrying maximum current. These factors can be preset by a field-cooling
process with various field-cooled fields at a temperature higher than
the superconducting transition temperature, T
c. While the system is field-cooled below T
c, we found that the competition between these factors
and the responses of the interface may enhance or suppress the properties
of the superconducting layer and finally gives rise to a maximum I
c at a specific field-cooled field. Moreover,
we also observed that the I
c increases
with the increase of the applied magnetic field for the sample with
a thinner YBCO layer, which cannot be explained by these mechanisms
based on singlet superconductivity and strongly implies the possible
existence of triplet superconducting pairs at the interface and inside
a ferromagnetic (FM) layer.