- #1
taha_tehran
- 3
- 0
How does the coherent quantum mechanical entity avoid disruptions by the lattice vibration and impurities?
Understanding the Significance of the Bound State in Cooper Pair Formation
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Discussion Overview
The discussion centers around the significance of bound states in the formation of Cooper pairs, particularly in the context of how these pairs interact with lattice vibrations and impurities in materials. The scope includes theoretical considerations and implications for real materials, as well as references to specific literature on the topic.
Discussion Character
- Exploratory
- Technical explanation
- Conceptual clarification
- Debate/contested
Main Points Raised
- One participant questions how coherent quantum mechanical entities like Cooper pairs avoid disruptions from lattice vibrations and impurities.
- Another participant argues that disruptions are inevitable, noting that defects and increased temperature will affect the properties of superfluids, leading to phenomena such as finite resistance and phase slips.
- A participant briefly mentions "cooper pairs" and inquires about the important theoretical results related to them.
- Another participant suggests that understanding the significance of Cooper pairs requires a more specific question and references a chapter in Ashcroft and Mermin that discusses the derivation of the bound state.
Areas of Agreement / Disagreement
Participants express differing views on the impact of lattice vibrations and impurities on Cooper pairs, with some asserting that these factors disrupt coherence while others suggest that certain limits can be applied. The discussion remains unresolved regarding the specifics of the significance of bound states in Cooper pair formation.
Contextual Notes
Limitations include the lack of clarity on specific definitions of terms like "dirty limit" and the assumptions underlying the discussion of coherence and disruptions in superfluidity.
- #2
f95toli
Science Advisor
- 3,510
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It doesn't. At least not in general. Introducing defects and/or raising the temperature will always affect the propeties of the superfluid (coherence length etc). In some cases this also leads to a finite resistance due to e.g. phase slips.
This is why we use various limits, e..g the "dirty limit" etc when dealing with real materials.
This is why we use various limits, e..g the "dirty limit" etc when dealing with real materials.
- #3
taha_tehran
- 3
- 0
cooper pairs
what s one of the most important results abtioned in theory cooper pairs?
what s one of the most important results abtioned in theory cooper pairs?
- #4
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How much of the Cooper Pair problem have you understood? Maybe people can answer you starting from there. For example, in Chap. 34 of Ashcroft and Mermin, 1st ed., they describe the derivation of the bound state. Have you worked through this? Is this what you didn't realize the significance of or didn't understand why it is important?
You need to be MORE specific in your question than this to get any reasonable answer.
Zz.
You need to be MORE specific in your question than this to get any reasonable answer.
Zz.
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