The mixed-state Hall effect has been studied in Tl2Ba2CuO6 + delta thin fil
ms with oxygen content tuned from underdoped to overdoped. Two sign reversa
ls observed both in the underdoped and optimally doped samples disappear si
multaneously when the sample is slightly overdoped. These results contradic
t the prediction of the time-dependent Ginzberg-Landau and microscopic theo
ries but confirm that both Hall sign reversals are determined by electronic
band structure. Unlike the previous experiment, our results show that the
Hall sign in the underdoped region may be either hole-like or electron-like
in the superconducting state.