We construct an infinite family of hyperbolic, homologically thin knots that
are not quasi-alternating. To establish the latter, we argue that the branched
double-cover of each knot in the family does not bound a negative definite
4-manifold with trivial first homology and bounded second betti number. This
fact depends in turn on information from the correction terms in Heegaard Floer
homology, which we establish by way of a relationship to, and calculation of,
the Turaev torsion.