Van Hove singularities - Revision history

Shepplestone at 15:55, 9 October 2025

2025-10-09T15:55:13Z

← Older revision		Revision as of 15:55, 9 October 2025
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	Van ~~Hoove~~ Singularities are divergences in the Density of states (that tend to infinity). i.e. <math>G(E)=A/((E-E_0)^n)</math> as the energy tends to <math>E_0</math>.		Van Hove Singularities are divergences in the Density of states (that tend to infinity). i.e. <math>g(E)=A/((E-E_0)^n)</math> as the energy tends to <math>E_0</math>.

Shepplestone: Shepplestone moved page Van Hoove singularities to Van Hove singularities

2025-10-09T15:54:50Z

Shepplestone moved page Van Hoove singularities to Van Hove singularities

← Older revision	Revision as of 15:54, 9 October 2025
(No difference)

Shepplestone at 11:19, 8 October 2025

2025-10-08T11:19:51Z

← Older revision		Revision as of 11:19, 8 October 2025
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	<math>g(E)dE=dN= </math>		<math>g(E)dE=dN= </math>
	<math>G(E) \frac{dE}{dk} dk = dN</math>		<math>g(E) \frac{dE}{dk} dk = dN</math>

	So		So
	<math>G(E)=\frac{dN/dK} {dE/dK}</math>		<math>g(E)=\frac{dN/dK} {dE/dK}</math>

	Note, this should be done in 3D form with <math>\nabla</math> notation, but this is the simple version for easy learning.		Note, this should be done in 3D form with <math>\nabla</math> notation, but this is the simple version for easy learning.

	A full version is presented on Wikipedia.		A full version is presented on Wikipedia.

Shepplestone at 11:19, 8 October 2025

2025-10-08T11:19:34Z

← Older revision		Revision as of 11:19, 8 October 2025
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	<math>g(E)dE=dN= </math>		<math>g(E)dE=dN= </math>
	<math>G(E) dE/dk dk = dN</math>		<math>G(E) \frac{dE}{dk} dk = dN</math>

	So		So

Shepplestone at 11:19, 8 October 2025

2025-10-08T11:19:11Z

← Older revision		Revision as of 11:19, 8 October 2025
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	So		So
	<math>G(E)=\frac{dN/dK} {dE/dK}<\math>		<math>G(E)=\frac{dN/dK} {dE/dK}</math>

	Note, this should be done in 3D form with <math>\nabla</math> notation, but this is the simple version for easy learning.		Note, this should be done in 3D form with <math>\nabla</math> notation, but this is the simple version for easy learning.

	A full version is presented on Wikipedia.		A full version is presented on Wikipedia.

Shepplestone: Created page with "Van Hoove Singularities are divergences in the Density of states (that tend to infinity). i.e. $G(E)=A/((E-E_0)^n)$ as the energy tends to $E_0$ . Typ..."

2025-10-08T11:18:59Z

Created page with "Van Hoove Singularities are divergences in the Density of states (that tend to infinity). i.e. <math>G(E)=A/((E-E_0)^n)</math> as the energy tends to <math>E_0</math>. Typ..."

New page

Van Hoove Singularities are divergences in the Density of states (that tend to infinity). i.e. <math>G(E)=A/((E-E_0)^n)</math> as the energy tends to <math>E_0</math>.

Typically, they require the group velocity of the particle goes to zero.

It can be viewed as coming from the DOS

<math>g(E)dE=dN= </math>
<math>G(E) dE/dk dk = dN</math>

So
<math>G(E)=\frac{dN/dK} {dE/dK}<\math>

Note, this should be done in 3D form with <math>\nabla</math> notation, but this is the simple version for easy learning.

A full version is presented on Wikipedia.

Van Hove singularities - Revision history

Shepplestone at 15:55, 9 October 2025

Shepplestone: Shepplestone moved page Van Hoove singularities to Van Hove singularities

Shepplestone at 11:19, 8 October 2025

Shepplestone at 11:19, 8 October 2025

Shepplestone at 11:19, 8 October 2025

Shepplestone: Created page with "Van Hoove Singularities are divergences in the Density of states (that tend to infinity). i.e. G(E)=A/((E-E_0)^n) as the energy tends to E_0. Typ..."

Shepplestone: Created page with "Van Hoove Singularities are divergences in the Density of states (that tend to infinity). i.e. $G(E)=A/((E-E_0)^n)$ as the energy tends to $E_0$ . Typ..."