LikeCoolCase has ultra-slim carbon fiber cases for the iPhone 6 and iPhone 6 Plus.  The cases are made of 100% hand-laid carbon fiber, and they are only 0.85mm thick.  The iPhone 6 case ($79) weighs only 0.42 ounces; the iPhone 6 Plus case ($84) adds 0.52 ounces.  The Carbon Fiber Case for iPhone 6 and iPhone 6 Plus are available now at LikeCoolCase.
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Really wish someone made one of these for 5c. Only thing out there are carbon printed wraps ;(
Real carbon fiber would really screw up your wireless (cell, wifi, gps) reception. Looks nice but horrible in this application.