Register to reply

Constant for different types of lattices

by LagrangeEuler
Tags: constant, lattices, types
Share this thread:
Jan19-14, 08:53 AM
P: 309
##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
Phys.Org News Partner Physics news on
Working group explores the 'frustration' of spin glasses
New analysis of oxide glass structures could guide the forecasting of melt formation in planetary interiors
Scientists characterize carbon for batteries
M Quack
Jan21-14, 02:19 AM
P: 660
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: 309
See this paper.
Attached Files
File Type: pdf Watson Original paper.pdf (305.8 KB, 5 views)

Jan21-14, 03:23 AM
P: 309
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