Electronic band structures

Metal-induced gap states

In bulk semiconductor band structure calculations, it is assumed that the crystal lattice (which features a periodic potential due to the atomic structure) of the material is infinite. When the finite size of a crystal is taken into account, the wavefunctions of electrons are altered and states that are forbidden within the bulk semiconductor gap are allowed at the surface. Similarly, when a metal is deposited onto a semiconductor (by thermal evaporation, for example), the wavefunction of an electron in the semiconductor must match that of an electron in the metal at the interface. Since the Fermi levels of the two materials must match at the interface, there exists gap states that decay deeper into the semiconductor. (Wikipedia).

Metal-induced gap states
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Imperfections and defects are unavoidable. These defects are driven by entropy since they increase the disorder of a system. In metals, defects can be vacancies or interstitials. Vacancies are empty sites in the lattice. Interstitials are when atoms occupy the sites between atoms (intersti

From playlist Materials Sciences 101 - Introduction to Materials Science & Engineering 2020

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Dipole | Electron | Density of states | Fourier series | Fermi level