W. Xing et al., MAGNETIC-FLUX MAPPING, MAGNETIZATION, AND CURRENT DISTRIBUTIONS OF YBA2CU3O7 THIN-FILMS BY SCANNING HALL PROBE MEASUREMENTS, Journal of applied physics, 76(7), 1994, pp. 4244-4255
Mapping of the magnetic flux distribution in a square-shaped supercond
ucting YBa2Cu3O7 thin film was carried out using a scanning micro-Hall
probe with a spatial resolution of about 25 mum. Calculation procedur
es for converting the measured flux map to the film current distributi
on are discussed. The flux penetration with the applied field perpendi
cular to the film surface was studied in initially zero-field-cooled s
amples. With full flux penetration, the film sheet currents follow the
sample edges, whereas with partial flux penetration, the sheet curren
ts are more complex and include multiply connected patterns. In both c
ases the sheet currents change their flow direction abruptly along the
sample diagonals where the shielding is more effective, and this resu
lts in distinctive minima of the flux penetration. The saturation magn
etization for a square-shaped sample of side 2a was found to be identi
cal to that for disc and cylindrical samples of radius a. It is shown
that the multiply connected current patterns corresponding to various
parts of the hysteresis cycle can be reconstructed from the superposit
ion of two appropriate virgin current distributions. The critical curr
ent density was dependent on magnetic flux density, and it was found t
o follow the Kim model.