Theory
In the general case 2D-density of states in a solid could be defined by the following:
- , (1)
where is a current carrier's effective mass in a solid, is the electron mass, and is a dimensionless parameter which considers the zone structure of a solid. So, the quantum capacitance can be defined as follows:
- , (2)
where - the ‘‘ideal value’’ of quantum capacitance at and another ideal quantum capacitance:
- , (3)
where dielectric constant, fine structure constant and Compton wave length of electron, first defined by Yakymakha (1994) ) in the spectroscopic investigations of the silicon MOSFETs.
Read more about this topic: Quantum Capacitance
Famous quotes containing the word theory:
“The weakness of the man who, when his theory works out into a flagrant contradiction of the facts, concludes “So much the worse for the facts: let them be altered,” instead of “So much the worse for my theory.””
—George Bernard Shaw (1856–1950)
“The theory seems to be that so long as a man is a failure he is one of God’s chillun, but that as soon as he has any luck he owes it to the Devil.”
—H.L. (Henry Lewis)
“By the “mud-sill” theory it is assumed that labor and education are incompatible; and any practical combination of them impossible. According to that theory, a blind horse upon a tread-mill, is a perfect illustration of what a laborer should be—all the better for being blind, that he could not tread out of place, or kick understandingly.... Free labor insists on universal education.”
—Abraham Lincoln (1809–1865)