BCS theory in thermo field dynamics

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Discussion Overview

The discussion revolves around the extension of BCS theory within the framework of Thermo Field Dynamics (TFD) to address high-temperature superconductivity. Participants explore the applicability of BCS theory to high-Tc superconductors and the relationship between BCS and other theoretical frameworks.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant seeks assistance in applying BCS theory developed in TFD to high-temperature superconductivity.
  • Another participant questions the initial premise, asking for clarification on the development of BCS theory in "Thermo Dynamics" and requesting a source.
  • A participant clarifies that they meant Thermo Field Dynamics and cites an article by L. Leplae, noting that the method is originally for conventional superconductivity.
  • Concerns are raised about the validity of BCS theory in high-Tc superconductors, with references to ongoing research and alternative theories like Anderson's RVB theory.
  • Links to resources on Thermo Field Dynamics are provided, but the relevance to BCS theory is questioned by other participants.
  • Discussion includes the distinction between BCS bosons and BEC bosons, highlighting the complexity of the relationship between these theories.
  • Participants express the need for more complete citations when referencing academic works.

Areas of Agreement / Disagreement

Participants express differing views on the applicability of BCS theory to high-temperature superconductivity, with some indicating that its validity remains uncertain. There is no consensus on the connection between TFD and BCS theory, and the relevance of cited works is debated.

Contextual Notes

Limitations include the lack of clarity on the definitions of terms used, the unresolved status of BCS theory's applicability to high-Tc superconductors, and the need for more comprehensive citations in academic discussions.

nihad
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Can you help me to extend the BCS theory developed in Thermo Dynamics (TFD) formalism to high-temperature superconductivity?
 
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Your question here is puzzling. BCS theory developed in "Thermo Dynamics"? Can you cite a source for such a development?

Zz.
 
excuse me, BCS theory developed in Thermo field dynamics (TFD), I merely as a source the article "Derivation and application of the boson method in superconductivity" L.Leplae and all, but the method is developed for the conventional superconductivity. I want apply this method to high temperature superconductivity but I don't Know how to do?
 
nihad said:
excuse me, BCS theory developed in Thermo field dynamics (TFD), I merely as a source the article "Derivation and application of the boson method in superconductivity" L.Leplae and all, but the method is developed for the conventional superconductivity. I want apply this method to high temperature superconductivity but I don't Know how to do?

I still don't get the "Thermo field dynamics".

The validity of BCS in high Tc superconductor is still unknown. That is still part of the research-front work in this field. In fact, there are many indications that BCS may not be applicable for these compounds (re: Anderson's RVB theory).

So you're asking for something that does exist yet.

BTW, when you cite something, please give the full citation, i.e. author, journal name, volume, page number, and year of publication. Those are usually the minimum set of information required when doing a citation.

Zz.
 
Last edited:
nihad said:
to give you an idea about "Thermo field dynamics":
http://aps.arxiv.org/PS_cache/quant-ph/pdf/0308/0308053v1.pdf

You forgot to make the link to BCS theory. Why would this be relevant here?

Remember that BCS bosons are not identical to BEC bosons. That's why the fermionic condensates that was discovered a year ago made such a major news, because now we have evidence that the connection between BCS and BEC is possibly not an abrupt phase transition, but rather a smooth crossover. But this connection is still being worked on and there are no definite answers yet.

So how you are making this "thermo field" of bosons to connect to BCS theory is puzzling, at least to me.

Zz.
 
You can find the application of the thermo field dynamics to BCS theory “the boson method” in the works of L.Leplae, F. Mancini and Umezawa.
This method is completely different to BEC method.
 
nihad said:
You can find the application of the thermo field dynamics to BCS theory “the boson method” in the works of L.Leplae, F. Mancini and Umezawa.
This method is completely different to BEC method.

<scratching head>

Then why did you give a reference to the previous paper on BEC when it isn't relevant to BCS?

Could you also give a more complete citation than that? Include journal name, volume number, page number, and year as well.

Zz.
 
Last edited:

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