Is the Fermi Surface Relevant for Metals with Band Structure?

In summary, a Fermi surface is a representation of the allowed electron energy states in a metal at absolute zero temperature. It provides crucial information about the behavior of electrons in a metal and can be experimentally determined through various techniques. The shape and size of the Fermi surface can change under different conditions, which can affect the electronic properties of the metal. It is also closely related to the band structure of the metal, representing the points in momentum space where the energy levels are at the Fermi energy.
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Does this construction even make sense? By definition it is a surface of constant energy in k-space, so for the free electron it is a sphere. But for metals you have band structure so that a given k-vector can have several different energies associated with it.
Which of these are to be chosen?
 
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  • #2
For free electrons (or for an approximation), choose the model for free electrons, otherwise don't choose that?
Electrons in metals see a potential structure, if this can be neglected or not depends on your problem.
 

What is a Fermi surface for metals?

A Fermi surface is a representation of the allowed electron energy states in a metal at absolute zero temperature. It shows the boundaries between occupied and unoccupied states in momentum space.

Why is the Fermi surface important in understanding the properties of metals?

The Fermi surface provides crucial information about the behavior of electrons in a metal, such as their electrical and thermal conductivity, as well as their response to external magnetic and electric fields.

How is the Fermi surface experimentally determined?

The Fermi surface can be determined through various experimental techniques, such as angle-resolved photoemission spectroscopy, de Haas-van Alphen effect, and Shubnikov-de Haas effect.

Can the Fermi surface change under different conditions?

Yes, the shape and size of the Fermi surface can change under different conditions, such as temperature, pressure, and magnetic field. This can affect the electronic properties of the metal.

What is the relationship between the Fermi surface and the band structure of a metal?

The Fermi surface is a 3D representation of the band structure of a metal. It shows the points in momentum space where the energy levels are at the Fermi energy, which is the highest occupied energy level at absolute zero temperature.

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