  Magnetotransport in chaotic quantum dots at low magnetic fields is
investigated by means of a tight binding Hamiltonian on L x L clusters of the
square lattice. Chaoticity is induced by introducing L bulk vacancies. The
dependence of weak localization on the Fermi energy, dot size and leads width
is investigated in detail and the results compared with those of previous
analyses, in particular with random matrix theory predictions. Our results
indicate that the dependence of the critical flux Phi_c on the square root of
the number of open modes, as predicted by random matrix theory, is obscured by
the strong energy dependence of the proportionality constant. Instead, the size
dependence of the critical flux predicted by Efetov and random matrix theory,
namely, Phi_c ~ sqrt{1/L}, is clearly illustrated by the present results. Our
numerical results do also show that the weak localization term significantly
decreases as the leads width W approaches L. However, calculations for W=L
indicate that the weak localization effect does not disappear as L increases.
