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
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