# Constant for different types of lattices

by LagrangeEuler
Tags: constant, lattices, types
 P: 250 ##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##
 P: 627 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.
P: 250
See this paper.
Attached Files
 Watson Original paper.pdf (305.8 KB, 5 views)

P: 250

## Constant for different types of lattices

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

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