Vv. Moshchalkov et al., PARAMAGNETIC MEISSNER EFFECT FROM THE SELF-CONSISTENT SOLUTION OF THEGINZBURG-LANDAU EQUATIONS, Physical review. B, Condensed matter, 55(17), 1997, pp. 11793-11801
The paramagnetic Meissner effect (PME), recently observed in high-T-c
materials and also in Nb, can be successfully explained by the persist
ence of a giant vortex state with a fixed orbital quantum number L. Th
is state is formed in superconductors in the field-cooled regime at th
e third critical field. The self-consistent numerical solution of the
Ginzburg-Landau equations clearly shows that the compression of the fl
ux trapped inside the giant vortex state can result in the PME. The PM
E is suppressed, and the normal diamagnetic response is recovered, by
increasing the applied field. A possible definition of the irreversibi
lity line, as a crossover between the giant vortex state and the Abrik
osov flux line lattice, is discussed. The transition between the two q
uantum states (L = 0 and L = 1) has been used to calculate the field H
0-->1(T), corresponding to the penetration of the first flux line into
a cylindrical sample.