At laboratory stage but promising:
Heat pumps without compressors: Fraunhofer advances electrocalorics
"Novel concept: solid-state #HeatPumps based on #electrocaloric materials that do not run on harmful #refrigerants and could potentially be more efficient than compressor-based systems."
https://www.sonnenseite.com/en/energy/heat-pumps-without-compressors-fraunhofer-advances-electrocalorics/

Heat pumps without compressors: Fraunhofer advances electrocalorics - Sonnenseite - Ökologische Kommunikation mit Franz Alt
Highly efficient solid-state heat pumps without compressors – that is the vision of Fraunhofer researchers. With the recent completion of the ElKaWe
Sonnenseite
Cooling system could replace air con and drastically cut energy use
A heat-pump-like system that relies on a phenomenon called electrocaloric cooling could heat or chill a room almost twice as efficiently as standard air-conditioning units
New Scientist
‘Electrocaloric’ heat pump could transform air conditioning
Heat pumps are ubiquitous in the form of air conditioners. Scientists just invented one that avoids harmful refrigerant gases.