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Constant for different types of lattices

by LagrangeEuler
Tags: constant, lattices, types
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Jan19-14, 08:53 AM
P: 316
##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
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M Quack
Jan21-14, 02:19 AM
P: 669
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.
Jan21-14, 03:07 AM
P: 316
See this paper.
Attached Files
File Type: pdf Watson Original paper.pdf (305.8 KB, 5 views)

Jan21-14, 03:23 AM
P: 316
Constant for different types of lattices

Or here.
Attached Files
File Type: pdf Tahir-Kheli I.pdf (1.03 MB, 4 views)

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