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Mott transition (Read 2910 times)
Gerrit-Jan Linker
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Mott transition
27.05.09 at 12:55:42
 
Mott transition
 
A Mott transition is a metal-nonmetal transition in condensed matter.
 
It is an example where the theory of the Landau liquid (electron liquid) does not apply anymore. This is where Epotential / Ekinetic if far greater than 1.
 
Due to electric field screening the potential energy becomes much sharper peaked around the equilibrium position of the atom and electrons become localized and can no longer conduct a current.
 
In a semiconductor at low temperatures, each 'site' (atom or group of atoms) contains a certain number of electrons and is electrically neutral. For an electron to move away from a site requires a certain amount of energy, as the electron is normally pulled back toward the (now positively charged) site by Coulomb forces. If the temperature is high enough that of energy is available per site, the Boltzmann distribution predicts that a significant fraction of electrons will have enough energy to escape their site, leaving an electron hole behind and becoming conduction electrons that conduct current. The result is that at low temperatures a material is insulating, and at high temperatures the material conducts.
 
The Mott transition is the point in between. Mott argued that the transition must be sudden, occurring when the density of free electrons N and the Bohr radius satisfies .
 
See also:
Mott insulator
http://www.oraxcel.com/cgi-bin/yabb2/YaBB.pl?num=1275227977/0#0
 
Sources:
http://en.wikipedia.org/wiki/Mott_transition
Electron gas, electron liquid, electron crystal  
http://www.oraxcel.com/cgi-bin/yabb2/YaBB.pl?num=1243420625/0#0
 
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« Last Edit: 12.10.12 at 08:47:55 by Gerrit-Jan Linker »  

Gerrit-Jan Linker
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