Barcin is pre-pottery Neolithic 8400 BP, or roughly 6400 BC.
http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0129102#pone-0129102-t001
See:
http://www.eupedia.com/forum/threads/31336-Pinhasi-et-al-Ancient-dna-recovery?highlight=Barcin
Sopot is about 1500 years later, at around 4800-5000 BC. Are we talking about the same people even if the movement into the Balkans started in the same general geographic area?
The archaeologists excavating the site don't see any influence at this time from Barcin into the Balkans.
http://www.nit-istanbul.org/projects/barc-n-hoyuk-excavations
"Although its location suggests easy access to the Balkans from Anatolia, Neolithic archaeological assemblages on either side of the Marmara region do not demonstrate the expected similarity that can result from intensive social interactions."
From my other readings on the spread of the Neolithic, there was apparently movement over time from further south and east toward the northern coasts of Anatolia. Perhaps that's the ultimate source of the "second wave" that Haak saw in the changes in mtDna in central Europe in those earlier papers?
This is the abstract of a paper on another Anatolian sample, Kumteppe. That paper should be very interesting, and the genome as well. The sample is from roughly 4700 BC, and given the imprecision of datings, roughly contemporaneous with Sopot.
"
Anatolia played a key role in the Eurasian Neolithisation. The expansion from this area was driven west and northwards by migration, but we know little about the actual establishing of Neolithic societies in Anatolia, and what kind of population dynamics affected their gene pool. We present the first ancient genome wide data from a 6700 year old Anatolian excavated from a late Neolithic context in Kumtepe. We show that this individual display genetic similarities to the European Neolithic genepool, which anchors the Neolithic expansion in Europe to Anatolia. Further, the Kumtepe individual does not only contain the genetic element that is frequent in early European farmers, but also a component found mainly in modern-day populations from the Near East and Caucasus, suggesting gene flow into Anatolia in the late Neolithic. The scene presented by Kumtepe is compatible with gene flow into Europe from or through the Neolithic core area in Anatolia. And it is likely that this occurred early, perhaps just after the Neolithic core area had been established in southeastern Anatolia. This area was entangled in a complex web of contacts with other parts of the Near East, and the distribution of genetic variation in early European farmers suggests that the contacts with the European continent also remained and replenished with people's constant movements in and out of Anatolia."
So maybe these are the "second wave" people? Maybe they carried J2?