Is Karl Barth a Neo-orthodox theologian?

Karl Barth is not a Neo-orthodox theologian. Neo-orthodoxy is a partial and idiosyncratic North American appropriation of German dialectical theology, with which Barth was associated along with others like Rudolf Bultmann and Emil Brunner. Barth's own work was available in English only in a very limited way until after Neo-orthodoxy had already arisen, and the translations often left much to be desired. Furthermore, it was primarily from Brunner's work - which Barth sharply repudiated in the early 1930s, in many ways precipitating the breakup of German dialectical theology - that Neo-orthodoxy took its bearings.