Jl. Chen et Tj. Yang, ANOMALOUS HALL-EFFECT FROM VORTEX MOTION IN HIGH-TC SUPERCONDUCTORS, Physical review. B, Condensed matter, 50(6), 1994, pp. 4064-4067
In this work, the unusual Seebeck effect is taken into consideration i
n explaining the possible origin of the anomalous Hall effect for high
-T(c) superconductors. Combining Maki's theory of transport entropy an
d Tinkham's theory of resistive transition, we explain why the anomalo
us Hall effect can be observed in high-T(c) superconductors, but is ab
sent in most conventional superconductors. The behavior of rho(xy) (H,
T) in our theory is qualitatively consistent with experiments. In add
ition, our theory not only predicts that rho(xy) will become positive
from rho(xy) < 0 when the temperature is decreased in constant magneti
c field, but also predicts that \rho(xy)\ is-proportional-to rho(xx)2
in the region of pho(xy) < 0 and that the negative p(xy) will diminish
with increasing defect concentration.