Choice of Model for Cooper Pairing

In summary, the conversation is about seeking advice on which physical/mathematical model to study in order to understand the mechanism of cooper pairing of electrons in super conductivity. The speaker suggests looking into Lie Groups and mentions the BCS theory as a possible solution. They also mention the fermionic condensates as a bridge between the BCS and BEC models. Several sources are provided for further reading.
  • #1
mstrachan
8
0
I'm looking for advice about which physical/mathematical model to study in order to understand the mechanism of cooper pairing of electrons in super conductivity.

As I understand it, this requires a description of spin, and the mechanics of wavefunction interaction between two particles.

What Lie Groups or models address this?

-Mark
 
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  • #2
mstrachan said:
I'm looking for advice about which physical/mathematical model to study in order to understand the mechanism of cooper pairing of electrons in super conductivity.

As I understand it, this requires a description of spin, and the mechanics of wavefunction interaction between two particles.

What Lie Groups or models address this?

-Mark

This also applies to your question in another string regarding fermionic condensates.

Why haven't you look at the BCS theory? The questions that you are asking are not in "nuclear/particle physics", but rather in the area of condensed matter physics. The BCS Theory has solved for the mechanism of cooper pair formation in conventional superconductors since 1957. The pairs are formed via phonon exchange as the mechanism in those superconductors (all bets are off in high-Tc superconductors).

The fermionic condensates area of study is a "bridge" between the BCS model and the BEC model. It was thought that the transition between the two isn't smooth. The recent clearer discovery of the fermionic condensate shows that it is a smooth "crossover" between the two extremes.

http://arxiv.org/abs/cond-mat/0404274
http://xxx.lanl.gov/abs/cond-mat/9508063
http://xxx.lanl.gov/abs/cond-mat/0106143

Zz.
 

Related to Choice of Model for Cooper Pairing

1. What is the Cooper pairing model?

The Cooper pairing model is a theoretical concept in condensed matter physics that explains the formation of superconductivity in certain materials at low temperatures. It proposes that electrons in the material can pair up and move through the material without resistance, thus creating a state of superconductivity.

2. What are the different models for Cooper pairing?

There are mainly two models for Cooper pairing: the BCS (Bardeen-Cooper-Schrieffer) theory and the SO(5) theory. The BCS theory is the most widely accepted and explains superconductivity as a result of electron-phonon interactions. The SO(5) theory is a more recent model that proposes a unifying description of superconductivity and other phenomena in condensed matter physics.

3. How do scientists choose which model to use for Cooper pairing?

Scientists usually choose the model for Cooper pairing based on their experimental observations and the properties of the material they are studying. The BCS theory is often used for conventional superconductors, while the SO(5) theory is applied to unconventional superconductors. In some cases, scientists may also use a combination of both models to better understand the phenomenon.

4. What are the limitations of the Cooper pairing models?

Both the BCS and SO(5) models have certain limitations. The BCS theory cannot fully explain high-temperature superconductivity, and the SO(5) theory has not been widely tested and verified through experiments. Additionally, both models do not account for certain aspects of superconductivity, such as the Meissner effect and the existence of vortices.

5. How do scientists continue to improve and develop models for Cooper pairing?

Scientists continue to study superconductivity and look for new evidence and experimental data to improve and develop models for Cooper pairing. They also use advanced theoretical techniques, such as quantum field theory, to refine existing models and propose new ones. With advancements in technology and techniques, scientists hope to gain a deeper understanding of superconductivity and develop more accurate models for Cooper pairing in the future.

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