The present disclosure provides a method of forming a semiconductor circuit element and a semiconductor circuit element, wherein the semiconductor circuit element is formed on the basis of a replacement gate process replacing a dummy gate structure of a semiconductor device of the semiconductor circuit element by a gate oxide structure and a gate electrode material, wherein the gate oxide structure comprises a high-k material that is in the ferroelectric phase. In some illustrative embodiments herein, a semiconductor device is provided, the semiconductor device having a gate structure disposed over an active region of a semiconductor substrate. Herein, the gate structure comprises a spacer structure and a dummy gate structure which is replaced by a gate oxide structure and a gate electrode material, wherein the gate oxide structure comprises a ferroelectric high-k material.