The oxygen rebreather working with liquid oxygen is not in use for under water applications. There were only a very few models with this working principle. Due to the difficult logistics and relative dangerous systems now the principle is not in production for man carried systems.
More information here: http://www.therebreathersite.nl/Zuurstofrebreathers/English/aerorlox.htm

* Dewar Flask
A double-walled vessel with a vacuum between the walls to reduce the transfer of heat. Used for the storage of liquid gases and for other laboratory applications. Named after the British physicist, James Dewar (1842-1923).
More information: http://www.healeyhero.co.uk/rescue/glossary/aerorlox.htm
 

This unique picture shows the filling of a so called DEWAR.
The man on the picture is Mr. Robinson Sr. the father of Brain Robinson who sent me this picture!