Constant for different types of lattices


by LagrangeEuler
Tags: constant, lattices, types
LagrangeEuler
LagrangeEuler is offline
#1
Jan19-14, 08:53 AM
P: 276
##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
Researchers develop scalable methods for manufacturing metamaterials
Researchers find tin selenide shows promise for efficiently converting waste heat into electrical energy
After 13 years, progress in pitch-drop experiment (w/ video)
M Quack
M Quack is offline
#2
Jan21-14, 02:19 AM
P: 635
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
LagrangeEuler is offline
#3
Jan21-14, 03:07 AM
P: 276
See this paper.
Attached Files
File Type: pdf Watson Original paper.pdf (305.8 KB, 5 views)

LagrangeEuler
LagrangeEuler is offline
#4
Jan21-14, 03:23 AM
P: 276

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