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arvind
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how the dispersion relation(i.e. E-k relation) affects carrier mobility in metals or semi-metals?
arvind said:how the dispersion relation(i.e. E-k relation) affects carrier mobility in metals or semi-metals?
arvind said:what if the charge carriers are massless as in case of graphene which is a single atom thick sheet?
ZapperZ said:I'm not sure if you have done any search on your own. You would have discovered the answer yourself.
For example, the electron mobility can be written, in the simplest form, as
[tex]\mu = e\tau/m^*[/tex]
where μ is the mobility, τ is the scattering time, e is the charge, and m* is the effective mass. Now, look up the relationship between the effective mass and the band dispersion, and you have your answer.
Zz.
Douasing said:Is there a simple and convenient way to estimate the electron mobility ?
Thank you for your suggestions.DrDu said:Not really, it depends on the scattering mechanism, e.g. impurity scattering or scattering from phonons. The latter should be most relevant in very pure samples. To quantify it ab initio, you would have to calculate the phonon spectrum and electron phonon coupling constants.
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