Cycle with only liquid, no vapor?

[SES Utah]

Hey guys, I'm wondering if anyone has ever developed a refrigeration cycle that doesn't have a gas phase? We're developing a new technology, and one part of the system is a liquid with a very low vapor pressure that needs to be cyclically cooled.

It would be ideal if I could use this as the working fluid in a refrigeration cycle, but based on ph (mollier) diagrams it appears that in the subcooled liquid region the constant temperature lines are nearly parallel to the pressure axis, meaning expanding a subcooled liquid into a subcooled liquid will not cool it - it may actually raise the temperature!

Any work arounds?? Thanks!