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Nesting vector task 105

Elk Users
Elio
2024-02-04
2024-02-06
  • Elio

    Elio - 2024-02-04

    Dear all,

    I have reproduced the Nesting function of bulk fcc Nb. I have three questions regarding the result produced in the 'NESTING3D.OUT' file.

    1) As I gathered, the first three columns are the x, y, and z coordinates of the q-vectors. Are these in crystal coordinates or in terms of 2pi/a, a being the lattice parameter.

    2) What are the units of the 4th column. If I am not mstaken, it has to do with the electronic susceptibility.
    3) How to interpret the values of N(q). From my humble information, there should be a peak in the susceptibility to be able to identify the nesting vectors. Is that correct?

    Regards

     
  • J. K. Dewhurst

    J. K. Dewhurst - 2024-02-06

    1 . The first three columns are the q-vectors in Cartesian coordinates

    3 . The fourth column is the value of the nesting function which is defined as:

       N(q)=∑_ik δ(ε_ik - ε_F) δ(ε_ik+q - ε_F)
    

    3 . N(q) is a simple measure of the density of states at the Fermi surface which are connected by a q-vector. Thus it gives a quick way of finding peaks in the susceptibility.

     
  • Elio

    Elio - 2024-02-06

    Dear J. K.

    Thank you for the clarification. I will test this for some new systems I have and see how it goes.

    Regards

     

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