EFERMI: Difference between revisions

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== Fermi energy in semiconductors ==


For semiconducting materials, the Fermi energy is not uniquely defined in the bandgap of the material.
For semiconducting materials, the Fermi energy is not uniquely defined in the bandgap of the material.
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The value of the Fermi energy should not affect the outcome of the calculation.
The value of the Fermi energy should not affect the outcome of the calculation.


Enforce a particular value for the Fermi energy by setting it to a numeric value.
== Fermi energy in metals ==
 
When your system does not have a gap, the algorithm to determine the Fermi energy is not very important.
Since the Fermi energy is placed exactly at the value so that underneath are enough states to accommodate all electrons, this energy is well defined and both MIDGAP and LEGACY should yield the same value.
However, this also means that the Fermi energy is now a quantity that needs to be converged.
Here, you need to consider the smearing ({{TAG|ISMEAR}}, {{TAG|SIGMA}}) and the density of the {{FILE|KPOINTS}} mesh.
This is in particular important for band structure calculations.
Typically, the Fermi energy of a band structure calculation will not be the same because the '''k''' points are not a well distributed mesh.
If you are interested in the properties at the Fermi energy (e.g. for transport calculations), you should compute the Fermi energy with a very dense '''k'''-point mesh.
Then, correct the band structure calculation so that the Fermi energy aligns with this converged value.
 
== Fixed Fermi energy ==
Occasionally, you want to compute systems with fixed Fermi energy.
To this end, set {{TAG|EFERMI} to a numeric value.
Note that this may change the number of electrons.
Note that this may change the number of electrons.


== Related Tags and Sections ==
== Related Tags and Sections ==

Revision as of 15:25, 2 February 2024

EFERMI = MIDGAP | LEGACY | [real]
Default: EFERMI = LEGACY 

Description: Defines how the Fermi energy is calculated in VASP. It is recommended to use EFERMI = MIDGAP.


Fermi energy in semiconductors

For semiconducting materials, the Fermi energy is not uniquely defined in the bandgap of the material. Any value that produces the correct number of electrons is allowed. By default, VASP places the Fermi energy at a somewhat arbitrary value within the bandgap. The precise value depends on values chosen for the smearing (ISMEAR and SIGMA) and the density of states (EMIN, EMAX, and NEDOS). Typically this places the Fermi energy towards the bottom of the bandgap.

You can change this behavior by setting EFERMI = MIDGAP. VASP will then put the Fermi energy in the middle of the gap because this is the most consistent with increasing the smearing SIGMA. This algorithm to determine the Fermi energy was introduced in VASP.6.4. The value of the Fermi energy should not affect the outcome of the calculation.

Fermi energy in metals

When your system does not have a gap, the algorithm to determine the Fermi energy is not very important. Since the Fermi energy is placed exactly at the value so that underneath are enough states to accommodate all electrons, this energy is well defined and both MIDGAP and LEGACY should yield the same value. However, this also means that the Fermi energy is now a quantity that needs to be converged. Here, you need to consider the smearing (ISMEAR, SIGMA) and the density of the KPOINTS mesh. This is in particular important for band structure calculations. Typically, the Fermi energy of a band structure calculation will not be the same because the k points are not a well distributed mesh. If you are interested in the properties at the Fermi energy (e.g. for transport calculations), you should compute the Fermi energy with a very dense k-point mesh. Then, correct the band structure calculation so that the Fermi energy aligns with this converged value.

Fixed Fermi energy

Occasionally, you want to compute systems with fixed Fermi energy. To this end, set {{TAG|EFERMI} to a numeric value. Note that this may change the number of electrons.


Related Tags and Sections

ISMEAR, SIGMA, EMIN, EMAX, NEDOS