  It was shown by Jim Davis that a 2-component link with Alexander polynomial
one is topologically concordant to the Hopf link. In this paper, we show that
there is a 2-component link with Alexander polynomial one that has unknotted
components and is not smoothly concordant to the Hopf link, answering a
question of Jim Davis. We construct infinitely many concordance classes of such
links, and show that they have the stronger property of not being smoothly
concordant to the Hopf link with knots tied in the components.
