While Apple is using an A6 processor for this new iPad mini, developer Nick Frey has shared with us that Apple is also developing a new A7 processor. A reference to an s5l8960x (likely A7) processor, which is a leap over the s5l8950x (A6) and s5l8955x (A6X), was located inside of the iOS 7 filesystem. Based on recent chatter, it seems plausible that this will be the chip powering the new iPhone 5S.
Interestingly, it appears that Apple will again work with Samsung for this new chip. The main system-on-a-chip will include some Samsung components- at least to power the display, according to analysis of the above code by a person familiar with Apple’s chip design process. This contrasts with a rumor from earlier this year (like every year) claiming that Apple will switch to TSMC on the A7 processor.
This source also says that over the past couple of years, Apple has hit roadblocks (in relation to processing speed) with both the upcoming A7 and A8 chip, but it appears those that issues have been resolved.