Kondo Lattice vs. Single Impurity Kondo System

  • Context: Graduate 
  • Thread starter Thread starter Rasine
  • Start date Start date
  • Tags Tags
    Lattice System
Click For Summary
SUMMARY

The discussion centers on the Kondo effect in dilute magnetic alloys and the differences between the Kondo lattice and single impurity Kondo systems. It establishes that for the Kondo effect to manifest, magnetic impurities must be non-interacting and spaced apart. In Kondo lattices, despite the proximity of impurities (one per unit cell), the Kondo effect persists due to the exchange parameter J of the RKKY interaction being significantly weaker than the Kondo temperature (Tk). This relationship indicates that as J increases, Kondo screening diminishes, potentially leading to its suppression.

PREREQUISITES
  • Understanding of the Kondo effect and its implications in condensed matter physics.
  • Familiarity with the RKKY interaction and its role in magnetic systems.
  • Knowledge of the Anderson Model in the context of lattice systems.
  • Basic concepts of temperature and energy in quantum mechanics.
NEXT STEPS
  • Research the relationship between exchange parameters and Kondo temperature in Kondo lattice systems.
  • Study the Anderson Model and its application to Kondo systems.
  • Explore the implications of RKKY interactions on magnetic impurity behavior.
  • Examine recent papers on the Kondo effect and its variations in different materials.
USEFUL FOR

Physicists, materials scientists, and researchers interested in condensed matter physics, particularly those studying magnetic properties and the Kondo effect in various systems.

Rasine
Messages
208
Reaction score
0
In order for a dilute magnetic alloy to show the kondo effect (resistance minimum at low T), the magnetic impurites must be far apart and non-interacting.

In the Kondo lattice, the magnetic impurities are much closer togeather (one impurity per unit cell), so why does this system show the Kondo effect?

I was reading a paper and they said that this is because the exchange parameter J of the RKKY interaction between the impurites is much weaker than the Kondo temperature (Tk). I don't understand how they are comparing J to a temperature...Maybe they mean at Tk, J is much weaker in kondo lattice systems than in single impurity konodo systems.
 
Physics news on Phys.org
J is an energy as well as k_B*T_K.
 
Your doubt is valid. The 'J' infact destroys the Kondo screening. In the dilute impurity limit one can devise the Kondo argument using lattice version of the Anderson Model. As 'J' is tuned up the Kondo screening becomes poorer and is speculated to either suppress it completely or at least weaken it significantly.

You'll find this more informative: http://arxiv.org/abs/cond-mat/0612006
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 0 ·
Replies
0
Views
3K
  • · Replies 21 ·
Replies
21
Views
5K
  • · Replies 9 ·
Replies
9
Views
1K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 212 ·
8
Replies
212
Views
27K
  • · Replies 4 ·
Replies
4
Views
4K