Electronic band structures

Van Hove singularity

A Van Hove singularity is a singularity (non-smooth point) in the density of states (DOS) of a crystalline solid. The wavevectors at which Van Hove singularities occur are often referred to as critical points of the Brillouin zone. For three-dimensional crystals, they take the form of kinks (where the density of states is not differentiable). The most common application of the Van Hove singularity concept comes in the analysis of optical absorption spectra. The occurrence of such singularities was first analyzed by the Belgian physicist Léon Van Hove in 1953 for the case of phonon densities of states. (Wikipedia).

Van Hove singularity
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From playlist PHYSICS 32.1 THERMODYNAMICS 2 BASIC TERMS

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From playlist PHYSICS 32.1 THERMODYNAMICS 2 BASIC TERMS

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From playlist PHYSICS 32.1 THERMODYNAMICS 2 BASIC TERMS

Related pages

Vector potential | Electronic band structure | Fermi gas | Momentum | Particle in a box | Differentiable function | Density of states | Saddle point | Spin (physics) | Singularity (mathematics) | Chain rule | Critical point (mathematics) | Brillouin zone | Perturbation theory (quantum mechanics)