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arXiv.org > cond-mat > arXiv:2105.02364

https://arxiv.org/abs/2105.02364

Condensed Matter ~~---- Superconductivity [Submitted on 5 May 2021] Berry connection from many-body wave functions and superconductivity: Calculations by the particle number conserving Bogoliubov-de Gennes equations

Hiroyasu Koizumi, Alto Ishikawa A fundamentally revised version of superconductivity theory has been put forward by the present authors since the standard theory of superconductivity based on the BCS theory cannot explain superconductivity in cuprates discovered in 1986, and reexaminations on several experimental results on the conventional superconductors indicate the necessity for a fundamental revision.

The revision is made on the origin of the superconducting phase variable, which is attributed to a Berry connection arising from many-body wave functions. With this revision, the theory can be cast into a particle number conserving formalism. We have developed a method to calculate superconducting states with the Berry connection using the particle number conserving version of the Bogoliubov-de Gennes equations. An example calculation is made for a model originally built for cuprate superconductors.

Subjects: Superconductivity (cond-mat.supr-con) Cite as: arXiv:2105.02364 [cond-mat.supr-con] (or arXiv:2105.02364v1 [cond-mat.supr-con] for this version) Submission history From: Hiroyasu Koizumi [view email] [v1] Wed, 5 May 2021 23:07:49 UTC (6,229 KB) Download: PDF PostScript Other formats

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1 posted on 07/11/2021 7:26:10 AM PDT by Kevmo
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To: Kevmo

Very cool. But if valid can it be engineered to happen on the scale necessary to transmit industrial quanities of electricity?


2 posted on 07/11/2021 7:32:21 AM PDT by allendale
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To: Kevmo

“as long as thermal excitations are kept small enough”

The colder it gets,
the slower the little pieces get,
the easier it is for the electricity to catch on to the next little piece,
make a “connection”,
and pass on through.

Ok, got it.


3 posted on 07/11/2021 7:52:52 AM PDT by Macoozie (Handcuffs and Orange Jumpsuitss)
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To: Kevmo

I don’t see “high temperature” specified. 100 degrees Fahrenheit? 4,000 degrees?

L


5 posted on 07/11/2021 7:56:00 AM PDT by Lurker (Peaceful coexistence with the Left is not possible. Stop pretending that it is. )
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To: Kevmo

University of Tsukuba?

Who would even think that people in Tsukuba could even read!

ML/NJ


7 posted on 07/11/2021 8:08:45 AM PDT by ml/nj (DITCH MITCH !! and found)
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To: Kevmo

Now if we could just figure out quantum conductivity...the electrons would just magically end up being where they’re supposed to be.


8 posted on 07/11/2021 8:17:01 AM PDT by bigbob
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To: Kevmo
...the theory can be cast into a particle number conserving formalism. We have developed a method to calculate superconducting states with the Berry connection using the particle number conserving version of the Bogoliubov-de Gennes equations...

Damn...Why didn't I think of that?

15 posted on 07/11/2021 9:54:28 AM PDT by PerConPat (A politician is an animal which can sit on a fence and yet keep both ears to the ground - Mencken)
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To: Kevmo
I postulated that 20 years ago after a night drinking San Magoo beer and a 15 hour dissertation of rum & "unwoke" coke.

Just where do these clowns get off?

26 posted on 07/11/2021 12:13:16 PM PDT by SERE_DOC ( The beauty of the Second Amendment is that it will not be needed until they try to take it. TJ)
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