A Superconductivity Theory To Explain Reported LK99 Assuming Reports Were Correct

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Chinese researchers have proposed a theory for understanding the LK99 superconductor. This paper assumes the south Korean LK99 claims are correct for critical temperature and critical current. The conventional superconducting mechanisms and theories (BCS and BR-BCS) used to understand other superconductors would not explain LK99. LK99 has the apparent contradiction between an extremely high critical temperature Tc and rather modest critical magnetic field Bc and critical current jc.

Basically, the researchers assume all the reported positive data is correct, then what would be a physic theory that would explain it.

The first part of determining if the positive data is real and correct is still waiting for the original korean LK99 researchers to make and publish an updated peer reviewed paper.

The Interplay between Exciton- and Phonon-Induced Superconductivity Might Explain the Phenomena Observed in Lk-99.

Junhui Cao
Westlake University

Alexey Kavokin
Westlake University

Abstract
The experimental results hinting at the room temperature and ambient pressure superconductivity and magnetic levitation in LK-99 attracted an unprecedented interest. While attempts of other teams to reproduce the reported observations on similar samples failed so far, it seems worthwhile to try building a theoretical model that would explain the ensemble of the available data assuming that they are trustworthy. One of important features that needs to be explained is an apparent contradiction between an extremely high critical temperature Tc and rather modest critical magnetic field Bc and critical current jc reported for LK-99. We show theoretically, that these data may be quantitatively reproduced assuming the interplay between exciton- and phonon-induced superconductivity, while the conventional BCS or Brinkman-Rice-Bardeen-Cooper-Schriefer (BR-BCS) mechanisms would result in a much higher Bc for the same Tc.

They reproduced the experimental dependencies of the critical current on temperature and magnetic field in LK-99 within the model assuming an interplay between exciton- and phonon-induced superconductivity in superconducting quantum wells. They have also checked that the conventional BCS model and the BRBCS model would lead to the critical current and critical magnetic field strongly exceeding the experimental values. Their estimations are inexact as they do not know that exact shape of the superconducting quantum wells in LK-99. It is no more than the hypothesis. Still, it allows one to explain the apparent controversy between the extremely high value of Tc and relatively modest critical current and magnetic field values.

They do not consider one-dimensional superconductivity in this work. They believe that two-dimensional superconducting layers may be formed in the interface regions of polycrystalline LK99 sample. Two-dimensional superconductivity could be responsible for the reported SQUID data. A further experimental analysis of the morphology of LK-99 samples and spatial location of insulator and superconductor phases is needed in order to conclude on the validity of their analysis.