Resistivity Q: Hall Conductance or Longitudinal Resistivity?

[lion8172]

I read somewhere that the Hall conductance is proportional to the derivative of the density of states at the Fermi level, and somewhere else that the longitudinal resistivity is proportional to the density of states at the Fermi level. Does anyone happen to know which it is?

 

[jpr0]

edit : I'll check a textbook :)

 

[Gokul43201]

I read somewhere that the Hall conductance is proportional to the derivative of the density of states at the Fermi level,

I need to think about this. I believe the derivative of the Hall resistivity w. r. to field is proportional to n(E_F).

and somewhere else that the longitudinal resistivity is proportional to the density of states at the Fermi level.

That looks right (for a 3d problem).

 

[Dr Transport]

I got to look at all my old notes, somewhere along the line I had to have done this calculation for my dissertation...give me a chance to dig it out...