No mic zack.
But Sony releases new zoom mic ECM-GZ1M for Multi-Interface Shoe.
http://store.sony.com/gun-zoom-microphone-zid27-ECMGZ1M/cat-27-catid-All-Camcorders-Accessories?_t=pfm%3Dcategory
It supports A6000.
So you can use this mic for audio improvement~!