I've found the following 2013 status report [1] which is surprisingly readable. From this document (my interpretations, not quotes):
As a prelude to EU membership, the EU and Turkey entered a Customs Union in 1995. The formal accession process, which requires that Turkey ratify and comply with 35 chapters, was started in 2001 but put on hold in 2004 by Turkey's refusal to accept Cyprus (a new EU member) as part of the Customs Union.
Between 2006 and 2011, hardly any progress was made, with the EC and EP basically playing good-cop bad-cop with Turkey: the Commission would highlight the few positive steps made, while the Parliament kept slamming Turkey over the slow pace of change. This made the support for the EU changes wither in Turkey.
In July 2012, Cyprus gained presidency of the EU and Turkey halted all formal talks, although the EC (again playing good cop) did continue negotiations about visa requirements between Turkey and the EU. Then the 2013 Gezi park protests happened, and that only soured the relationship more.
As of today, only 15 out of 35 chapters in the accession process have even been opened, and only one (Science&Research) has been completed. Since Turkey's first application for EU membership in 1987, 17 states have completed the full membership process, while Turkey's PM keeps making clear that he doesn't even understand the fundamental principles underlying Europe's free society.
No, I really don't see Turkey moving closer towards the European Union. Maybe when the AKP loses power...
