So far I know of systems using computational work (PoW), ownership of cryptocurrency (PoS), or storage space as that rare resource. The idea of using photonics to create a low energy 'proof of time' basis is interesting but there would still be difficult economic considerations. If acquiring the photonics is too hard, then you've got a centralised system, if it's too easy then the sybil resistance and environmental impact benefit goes away (because control of the system devolves into 'who can acquire the most hardware' incentivising massive production).
Perhaps surprisingly, improving the cost efficiency of the work done by a traditional PoW blockchain doesn't reduce its energy usage, because the usage is determined by a competitive market place driven by supply & demand, not by a fixed amount of work needing to be done. Increasing the cost efficiency of the calculations just results in the blockchain doing more calculations.
A huge chunk of the cost is in the electricity used, so power efficiency and cost efficiency are very very similar. Ultimately I don't think you can improve matters much by attacking power efficiency of the calculations. You may be able to move the economic balance point between upfront/ongoing costs by requiring more or more expensive hardware, but reducing ongoing electricity usage isn't a clear win if it's produced more waste and power usage during the creation and ultimate disposal of the hardware.