Methods of fabricating integrated circuit memory cells and integrated circuit memory cells are disclosed. Formation of an integrated circuit memory cell include forming a first electrode on a substrate. An insulation layer is formed on the substrate with an opening that exposes at least a portion of a first electrode. An amorphous variable resistivity material is formed on the first electrode and extends away from the first electrode along sidewalls of the opening. A crystalline variable resistivity material is formed in the opening on the amorphous variable resistivity material. A second electrode is formed on the crystalline variable resistivity material.