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Constant for different types of lattices

  1. Jan 19, 2014 #1
    ##C=\frac{1}{N}\sum_{\vec{k}} \frac{J(0)}{J(0)-J(\vec{k})} ##
    ##J(\vec{k})## is exchange integral in ##\vec{k}## space. What is the name of this constant and where I can find more about it?

    For simple cubic lattice
    ##C_{SC}=1.516##
     
    Last edited: Jan 19, 2014
  2. jcsd
  3. Jan 21, 2014 #2
    Can you provide a bit more context?

    Exchange integrals usually depend on details of the band structure, so I am surprised that you can get a universal constant for all simple cubic lattices irrespective of lattice constant, atomic flavor etc.

    J(0) would favor ferromagnetism

    J(k) with k != 0 would favor antiferromagnetism with a modulation wave vector k.
     
  4. Jan 21, 2014 #3
    See this paper.
     

    Attached Files:

  5. Jan 21, 2014 #4
    Or here.
     

    Attached Files:

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