Kondo Lattice vs. Single Impurity Kondo System

In summary, the Kondo Lattice and Single Impurity Kondo System are two different systems that involve the interaction between localized magnetic moments and conduction electrons. The Kondo Lattice is a type of magnetic material where Kondo interactions occur between multiple local moments, while the Single Impurity Kondo System involves the interaction between a single local moment and conduction electrons. Both systems exhibit similar behavior, such as the formation of a Kondo cloud, but differ in their underlying mechanisms and properties.
  • #1
Rasine
208
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 becuase 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.
 
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  • #2
J is an energy as well as k_B*T_K.
 
  • #3
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
 

1. What is the main difference between a Kondo lattice and a single impurity Kondo system?

The main difference between a Kondo lattice and a single impurity Kondo system is the number of magnetic impurities present. A Kondo lattice contains a large number of magnetic impurities, while a single impurity Kondo system only has one magnetic impurity.

2. How do Kondo lattice and single impurity Kondo systems affect the electrical conductivity of a material?

In a Kondo lattice, the presence of multiple magnetic impurities causes a decrease in electrical conductivity due to the scattering of electrons. In contrast, a single impurity Kondo system can actually increase the electrical conductivity due to the formation of a Kondo singlet state, which allows for the free flow of electrons.

3. What is the origin of the Kondo effect in these systems?

The Kondo effect in both Kondo lattice and single impurity Kondo systems is caused by the interaction between magnetic impurities and the conduction electrons in a material. This interaction leads to the formation of a Kondo singlet state, which screens the magnetic impurities and results in the observed changes in electrical conductivity.

4. How does temperature affect the Kondo effect in these systems?

In Kondo lattice systems, the Kondo effect is strongest at low temperatures and decreases as the temperature increases. This is because at low temperatures, the conduction electrons are more likely to form Kondo singlet states with the magnetic impurities. In contrast, the Kondo effect in single impurity Kondo systems is strongest at high temperatures and decreases as the temperature decreases.

5. What are the potential applications of studying Kondo lattice and single impurity Kondo systems?

Understanding the Kondo effect in these systems has important applications in materials science and technology. It can help in the development of new materials with desirable electrical conductivity properties, as well as in the design of electronic devices such as transistors and memory storage devices.

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