  We study dynamics of a two-dimensional s-wave superconductor in the presence
of a moving single vortex. Our analysis is based on the quasiclassical theory
including the Hall term, generalized by Kita[T. Kita, PRB, 64, 054503 (2001)].
We numerically calculate the linear response of a moving single vortex driven
by a dc external current in a self-consistent way, in the sense that Dyson
equation, gap equation, Maxwell equations and generalized quasiclassical
equation are solved simultaneously. We obtain Hall conductivity induced by
vortex motion using the generalized quasiclassical equation, while we confirm
that it vanishes in the conventional quasiclassical equation.
