Register to reply

Constant for different types of lattices

by LagrangeEuler
Tags: constant, lattices, types
Share this thread:
LagrangeEuler
#1
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
##C_{SC}=1.516##
Phys.Org News Partner Physics news on Phys.org
New complex oxides could advance memory devices
'Squid skin' metamaterials project yields vivid color display
Scientists control surface tension to manipulate liquid metals (w/ Video)
M Quack
#2
Jan21-14, 02:19 AM
P: 673
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.
LagrangeEuler
#3
Jan21-14, 03:07 AM
P: 316
See this paper.
Attached Files
File Type: pdf Watson Original paper.pdf (305.8 KB, 5 views)

LagrangeEuler
#4
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)


Register to reply

Related Discussions
Bravais lattices and lattices with a basis Atomic, Solid State, Comp. Physics 6
Plane Lattices Calculus & Beyond Homework 0
Crystal Lattices Introductory Physics Homework 0
Algebra: lattices Calculus & Beyond Homework 3
Bravais Lattices? Advanced Physics Homework 1