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- W2205478305 abstract "This chapter discusses quantum capacitance, size-dependent dielectric function, and doping of a quantum dot. They are all different in the quantum regime. The main difference in quantum capacitance from its classical definition is the fact that there is no such thing as storage of charge alone and the charge of the electron is discrete. As per the formulation, one electron in the ground state of a sphere is only the ground state of a hydrogen-like state, and two electrons are the ground state of a helium-like state. The chapter presents that taking into account the discreteness of electronic charge the classical capacitance is quite different when there are only a few electrons. Only when the number of electrons is large does the discreteness of the electronic charge cease to exhibit new features. When the size is below a couple of nanometers, quantum mechanically the kinetic energy of the stored electrons becomes dominant over the electrostatic stored energy. Pauli's exclusion principle plays an additional role in quantum capacitance. The size-dependent dielectric function is not defined according to the usual definition, because of the loss of the global nature. The reduction of the dielectric constant at sizes approaching a couple of nanometers drastically reduces the dopant binding energy from 13.6 eV for the hydrogen atom to ∼ 1 eV. In other words, all quantum dots a couple of nanometers in size are intrinsic even the dopant happens to be inside a quantum dot." @default.
- W2205478305 created "2016-06-24" @default.
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- W2205478305 date "2011-01-01" @default.
- W2205478305 modified "2023-09-26" @default.
- W2205478305 title "Capacitance, Dielectric Constant, and Doping Quantum Dots" @default.
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- W2205478305 doi "https://doi.org/10.1016/b978-0-08-096813-1.00008-4" @default.
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