Theory
In a short-circuited ferroelectric capacitor with a metal-ferroelectric-metal (MFM) structure, a charge distribution of screening charges forms at the metal-ferroelectric interface so as to screen the electric displacement of the ferroelectric. Due to these screening charges, there is a voltage drop across the ferroelectric capacitor with screening in the electrode layer that can be obtained using the Thomas-Fermi approach as follows :
Here is the film thickness, and are the electric fields in the film and electrode at the interface, is the spontaneous polarization, and & are the dielectric constants of the film and the metal electrode.
With perfect electrodes, or for thick films, with the equation reduces to:
Read more about this topic: Ferroelectric Capacitor
Famous quotes containing the word theory:
“... liberal intellectuals ... tend to have a classical theory of politics, in which the state has a monopoly of power; hoping that those in positions of authority may prove to be enlightened men, wielding power justly, they are natural, if cautious, allies of the establishment.”
—Susan Sontag (b. 1933)
“Dont confuse hypothesis and theory. The former is a possible explanation; the latter, the correct one. The establishment of theory is the very purpose of science.”
—Martin H. Fischer (18791962)
“every subjective phenomenon is essentially connected with a single point of view, and it seems inevitable that an objective, physical theory will abandon that point of view.”
—Thomas Nagel (b. 1938)