  Besides the magnetic Lorentz force familiar from the Hall effect in metals
and semiconductors, there exists a mechanism for charging peculiar to
superconductors that is caused by the pair-potential gradient (PPG). We
incorporate it in the augmented quasiclassical equations of superconductivity
with the Lorentz force to study charging of an isolated vortex in an
equilibrium s-wave type-II superconductor. It is found that the PPG mechanism
gives rise to charging concentrated within the core whose magnitude at the core
center can be 10 to 100 times larger than that caused by the Lorentz force. Our
detailed calculations on the spatial, temperature, and
magnetic-penetration-depth dependences of the vortex-core charge reveal that
the PPG mechanism contributes dominantly to the core charging of the isolated
vortex over a wide parameter range. The two mechanisms are also found to work
additively at the core center for the present model with an isotropic Fermi
surface.
