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- Electron-electron interaction in metals vs semiconductors
What is the difference between Electron-electron interaction in metals and semiconductors? And for which one it is stonger?
fateme said:I think page 152 of ashcroft is about electron-ion interaction.But my question is about chapter 17 of this book.
Thera are two fundamentals reasons why the strong interaction of conduction electrons with each other and with the positive ions can have the net effect of a weak potentials...
The Thomas–Fermi wavevector (in Gaussian-cgs units) is[1]
##{\displaystyle k_{0}^{2}=4\pi e^{2}{\frac {\partial n}{\partial \mu }}}##,
where μ is the chemical potential (Fermi level), n is the electron concentration and e is the elementary charge.
Under many circumstances, including semiconductors that are not too heavily doped, n∝eμ/kBT, where kB is Boltzmann constant and T is temperature. In this case,
##{\displaystyle k_{0}^{2}={\frac {4\pi e^{2}n}{k_{\rm {B}}T}}}##,
i.e. 1/k0 is given by the familiar formula for Debye length. In the opposite extreme, in the low-temperature limit T=0, electrons behave as quantum particles (fermions). Such an approximation is valid for metals at room temperature, and the Thomas–Fermi screening wavevector kTF given in atomic units is
##{\displaystyle k_{\rm {TF}}^{2}=4\left({\frac {3n}{\pi }}\right)^{1/3}}##.
If we restore the electron mass ##{\displaystyle m_{e}}m_{e} and the Planck constant {\displaystyle \hbar }\hbar##, the screening wavevector in Gaussian units is ##{\displaystyle k_{0}^{2}=k_{\rm {TF}}^{2}(m_{e}/\hbar ^{2})}##
Electron-electron interaction refers to the force or interaction between two or more electrons in an atom or molecule. This interaction plays a crucial role in determining the properties and behavior of matter.
Electron-electron interaction is essential in understanding chemical bonding and the formation of molecules. It also affects the energy levels and stability of atoms and molecules, which ultimately determines their chemical and physical properties.
Electron-electron interaction causes repulsion between electrons, which results in the distribution of electrons in different energy levels and orbitals. This affects the electron's motion and determines the shape of the electron cloud around the nucleus.
Yes, electron-electron interaction can also be attractive. When electrons are in different energy levels or orbitals, they can attract each other, resulting in the formation of chemical bonds. This attractive interaction is responsible for the stability of atoms and molecules.
Electron-electron interaction plays a significant role in determining the electrical, magnetic, and optical properties of materials. The strength and type of interaction between electrons affect the conductivity, magnetism, and absorption of light in different materials.