gallium arsenide (GaAs) has six times higher electron mobility than silicon, which allows faster operation... Conversely, silicon is robust, cheap, and easy to process, whereas GaAs is brittle and expensive, and insulation layers can not be created by just growing an oxide layer; GaAs is therefore used only where silicon is not sufficient.
-- WikipediaOne advantage of native III-V substrates is they are semi-insulating (very high resistivity) so there is no need for transistor isolation wells. However, insulated substrates could be obtained on silicon by means of wafer bonding with an intermediate dielectric layer.
I know I'd be keeping specifics as tightly controlled as possible until the last moment. It's one of those rare big jumps that really separate the players in the field.
It's a scary time for the industry, as Moore's law comes to an end.
(All that said, even if no one knows for sure what's coming next, that doesn't mean nothing will. The semiconductor industry is throwing billions of dollars and thousands of engineers at many potential solutions in parallel. Even if plan A falls through, there is always a heavily researched plan B, C, and D.)
I also note that Seymour Cray wanted to do gallium arsenide CPUs back in the late '80s: https://www.youtube.com/watch?v=xW7j2ipE2Ck .
By the way, an interesting alternative to blasting drops of molten tin in vacuum is to just build a multimillion dollar synchrotron and use its x-rays for lithography in a fab. This has a whole bunch of other problems, but it's an idea that engineers are seriously considering.
Most of my knowledge comes from my friend who used to work on the problem of inspecting x-ray masks.